@Preamble{
""
# "\def \Dbar {\leavevmode \lower.6ex \hbox to 0pt{\hskip-.23ex \accent"16\hss}D} "
# "\def \cdprime {$''$} "
# "\def \cprime {$'$} "
# "\def \hckudot #1{\ifmmode \setbox7 \hbox{$\accent"14#1$}\else \setbox7 \hbox{\accent"14#1}\penalty 10000\relax \fi \raise 1\ht7 \hbox{\raise.2ex\hbox to 1\wd7{\hss.\hss}}\penalty 10000 \hskip-1\wd7 \penalty 10000\box7} "
# "\def\polhk#1{\setbox0=\hbox{#1}{\ooalign{\hidewidth \lower1.5ex\hbox{`}\hidewidth\crcr\unhbox0}}} "
# "\ifx \undefined \cyr \let \cyr = \rm \fi"
}
@String{inst-CC-SB-USSR-ACAD-SCI = "Computing Center of the Siberian Branch
of the {USSR} Academy of Sciences"}
@String{inst-CC-SB-USSR-ACAD-SCI:adr = "Novosibirsk, USSR"}
@String{inst-CERFACS = "CERFACS"}
@String{inst-CERFACS:adr = "Toulouse, France"}
@String{inst-CS-PURDUE = "Department of Computer Science, Purdue
University"}
@String{inst-CS-PURDUE:adr = "West Lafayette, IN 47907-2107, USA"}
@String{inst-MATH-NPS = "Department of Mathematics, Naval Postgraduate
School"}
@String{inst-MATH-NPS:adr = "Monterey CA 93943, USA"}
@String{inst-SRC-IDA = "Supercomputing Research Center: IDA"}
@String{inst-SRC-IDA:adr = "Lanham, MD, USA"}
@String{inst-UIUC-CSRD = "University of Illinois at Urbana-Champaign,
Center for Supercomputing Research and
Development"}
@String{inst-UIUC-CSRD:adr = "Urbana, IL 61801, USA"}
@String{j-ACTA-MATH = "Acta Math"}
@String{j-ADV-COMPUT-MATH = "Advances in computational mathematics"}
@String{j-AIAAJ = "Am. Inst. Aero. Astro. J."}
@String{j-ANN-INST-HENRI-POINCARE-ANAL-NON-LINEAIRE = "Annales de l'Institut
Henri Poincar{\'e}. Analyse non
lin{\'e}aire"}
@String{j-ANZIAM-J = "The ANZIAM Journal"}
@String{j-APP-MATH-COMP = "Appl. Math. Comp."}
@String{j-APP-NUM-ANA = "Applied Numerical Analysis"}
@String{j-APP-NUM-MATH = "Appl. Num. Math."}
@String{j-APP-THEORY = "J. Appr. Theory"}
@String{j-APPL-ANAL = "Applicable Analysis"}
@String{j-APPL-MATH = "Applications of Mathematics"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-MATH-LETT = "Applied Mathematics Letters"}
@String{j-APPL-MATH-MECH-ENGL-ED = "Applied mathematics and mechanics = Ying
yung shu hsueh ho li hsueh"}
@String{j-APPL-NUM-ANAL-COMPUT-MATH = "ANACM. Applied Numerical Analysis and
Computational Mathematics"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-BULL-AM-MATH-SOC = "Bull. Amer. Math. Soc."}
@String{j-C-R-ACAD-SCI-PARIS-SER-I-MATH = "Comptes Rendus des S{\'e}ances de
l'Acad{\'e}mie des Sciences. S{\'e}rie I.
Math{\'e}matique"}
@String{j-C-R-MATH-ACAD-SCI-PARIS = "Comptes Rendus Math{\'e}matique.
Acad{\'e}mie des Sciences. Paris"}
@String{j-CALCOLO = "Calcolo"}
@String{j-CCPE = "Concurrency and Computation: Prac\-tice and
Experience"}
@String{j-CGF = "Com{\-}pu{\-}ter Graphics Forum"}
@String{j-COMM-APPL-ANAL = "Communications in Applied Analysis"}
@String{j-COMM-NUMER-METHODS-ENGRG = "Communications in Numerical Methods in
Engineering"}
@String{j-COMMUN-APPL-MATH-COMPUT-SCI = "Communications in Applied Mathematics
and Computational Science"}
@String{j-COMMUN-COMPUT-PHYS = "Communications in Computational Physics"}
@String{j-COMP-APPL-MATH = "J. of Computational and Applied
Mathematics"}
@String{j-COMP-GEOSCI = "Computers and Geosciences"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMP-MATH = "Journal of Computational Mathematics"}
@String{j-COMPUT-MATH-APPL = "Computers and Mathematics with Applications"}
@String{j-COMP-METH-APP-MECH-ENG = "Comput. Meth. Appl. Mech. Engin."}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMPUT-MECH = "Computational mechanics"}
@String{j-COMPUT-METH-APPL-MATH = "Computational Methods in Applied
Mathematics"}
@String{j-COMPUT-METH-APPL-MECH-ENG = "Computer Methods in Applied Mechanics
and Engineering"}
@String{j-COMPUT-SYST-ENG = "Computing Systems in Engineering"}
@String{j-COMPUT-VIS-SCI = "Computing and Visualization in Science"}
@String{j-COMPUTING = "Computing"}
@String{j-COMPUTING-SUPPLEMENTUM = "Computing. Supplementum"}
@String{j-CONTROL-CYBERN = "Control and cybernetics"}
@String{j-CPE = "Concurrency: practice and experience"}
@String{j-CRAS-PARIS = "C. R. Acad. Sci. Paris"}
@String{j-CZECH-MATH-J = "Czech. Math. J."}
@String{j-DOKL-AKAD-NAUK = "Doklady Akademii nauk SSSR"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis"}
@String{j-ENG-ANAL-BOUND-ELEM = "Engineering Analysis with Boundary
Elements"}
@String{j-EW-J-NUM-MATH = "East-West Journal of Numerical Mathematics"}
@String{j-FUT-GEN-COMP-SYS = "Future Generation Computer Systems"}
@String{j-IBM-SYS-J = "IBM Systems Journal"}
@String{j-IEEE-COMPUT-SCI-ENG = "IEEE Computational Science \& Engineering"}
@String{j-IEEE-TRANS-ANTENNAS-PROPAG = "IEEE Transactions on Antennas and
Propagation"}
@String{j-IEEE-TRANS-IMAGE-PROCESS = "IEEE Transactions on Image Processing"}
@String{j-IEEE-TRANS-NETWORKING = "IEEE\slash ACM Transactions on Networking"}
@String{j-IEEE-TRANS-PAR-DIST-SYS = "IEEE Transactions on Parallel and
Distributed Systems"}
@String{j-IFIP-TRANS-A = "IFIP Transactions. A. Computer Science and
Technology"}
@String{j-IJSA = "The International Journal of Supercomputer
Applications"}
@String{j-IJSAHPC = "The International Journal of Supercomputer
Applications and High Performance Computing"}
@String{j-IMA-J-NUMER-ANAL = "IMA Journal of Numerical Analysis"}
@String{j-IMP-COMP-SCI-ENG = "Impact Comput. Sci. Eng."}
@String{j-INT-J-COMPUT-FLUID-DYN = "International Journal of Computational
Fluid Dynamics"}
@String{j-INT-J-COMPUT-SYST-SCI-ENG = "International Journal of Computer Systems
Science and Engineering"}
@String{j-INT-J-CONTROL = "International Journal of Control"}
@String{j-INT-J-HIGH-SPEED-COMPUTING = "International Journal of High Speed
Computing (IJHSC)"}
@String{j-INT-J-NUM-METH-ENG = "International J. Numer. Methods
Engineering"}
@String{j-INT-J-NUMER-METHODS-ENG = "International Journal for Numerical
Methods in Engineering"}
@String{j-INT-J-NUMER-METHODS-FLUIDS = "International Journal for Numerical
Methods in Fluids"}
@String{j-INT-J-PAR-EMER-DIST-SYS = "International Journal of Parallel, Emergent
and Distributed Systems: IJPEDS"}
@String{j-INT-J-PURE-APPL-MATH = "International Journal of Pure and Applied
Mathematics"}
@String{j-INVERSE-PROBLEMS = "Inverse Problems"}
@String{j-IZV-VYSS-UCEBN-ZAVED-MAT = "Izvestiia vysshikh uchebnykh zavedenii.
Matematika"}
@String{j-J-ALGORITHMS-COMPUT-TECHNOL = "Journal of Algorithms \&
Computational Technology"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMP-MATH = "Journal of Computational Mathematics"}
@String{j-J-COMPLEXITY = "Journal of complexity"}
@String{j-J-COMPUT-PHYS = "Journal of computational physics"}
@String{j-J-FLUID-MECH = "Journal of Fluid Mechanics"}
@String{j-J-NUM-LIN-ALG-APPL = "Journal of Numerical linear algebra with
applications"}
@String{j-J-NUMER-METHODS-COMPUT-APPL = "Journal on Numerical Methods and
Computer Applications"}
@String{j-J-PAR-DIST-COMP = "Journal of Parallel and Distributed
Computing"}
@String{j-J-SCI-COMPUT = "Journal of Scientific Computing"}
@String{j-J-SUPERCOMPUTING = "The Journal of Supercomputing"}
@String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"}
@String{j-MATH-COMP-MODELLING = "Mathematical and computer modelling"}
@String{j-MATH-COMP-SIM = "Mathematics and Computers in Simulation"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-MODEL-NUM-ANA = "Mathematical modelling and numerical
analysis = Modelisation math{\'e}matique et
analyse num{\'e}rique: $M^2AN$"}
@String{j-MATH-MODELS-METHODS-APPL-SCI = "Mathematical models and methods in
applied sciences"}
@String{j-MMAN = "$M^{2}AN$"}
@String{j-NONLINEAR-ANAL = "Nonlinear Analysis, Theory, Methods and
Applications"}
@String{j-NUM-LIN-ALG-APPL = "Numerical Linear Algebra with Applications"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-NUMER-METHODS-PARTIAL-DIFFER-EQU = "Numerical Methods for Partial
Differential Equations"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-REND-MAT-APPL-1981 = "Rendiconti di matematica e delle sue
applicazioni (1981)"}
@String{j-RUSS-J-NUM-ANAL-MATH-MODEL = "Russian journal of numerical analysis
and mathematical modelling"}
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
@String{j-SIAM-J-MAT-ANAL-APPL = "SIAM J. Matrix Anal. Appl."}
@String{j-SIAM-J-MATH-ANA = "SIAM journal on mathematical analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-J-SCI-COMP = "SIAM Journal on Scientific Computing"}
@String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and Statistical
Computing"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIB-MAT-Z = "Sibirskii matematicheskii zhurnal"}
@String{j-SOV-MATH = "Soviet Mathematics"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-J-SYST-SOFTW = "The Journal of Systems and Software"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-MULTISCALE-MODELING-SIMUL = "Multiscale Modeling \& Simulation"}
@String{j-PARALLEL-ALGORITHMS-APPL = "Parallel Algorithms and Applications"}
@String{j-SCI-PROG = "Scientific Programming"}
@String{j-SIAM-J-CONTROL-OPTIM = "SIAM Journal on Control and Optimization"}
@String{j-SIGADA-LETTERS = "ACM SIGADA Ada Letters"}
@String{j-SIGMETRICS = "ACM SIGMETRICS Performance Evaluation
Review"}
@String{j-SIGNUM = "ACM SIGNUM Newsletter"}
@String{j-SIGPLAN = "ACM SIG{\-}PLAN Notices"}
@String{j-SIGSAM = "SIGSAM Bulletin (ACM Special Interest Group
on Symbolic and Algebraic Manipulation)"}
@String{j-SUPERCOMPUTER = "Supercomputer"}
@String{j-TCBB = "IEEE/ACM Transactions on Computational
Biology and Bioinformatics"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-TODS = "ACM Transactions on Database Systems"}
@String{j-TOG = "ACM Transactions on Graphics"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TOPLAS = "ACM Transactions on Programming Languages and
Systems"}
@String{j-TRANS-SOC-COMP-SIM = "Transactions of the Society for Computer
Simulation"}
@String{j-VLDB-J = "VLDB Journal: Very Large Data Bases"}
@String{j-USSR-COMP-MATH-MATH-PHYS = "U.S.S.R. Computational Math. and Math.
Phys."}
@String{j-Z-ANA-ANW = "Z. Anal. Anwendungen"}
@String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik
und Mechanik}"}
@String{j-Z-VYCISL-MAT-MAT-FIZ = "Zhurnal vychislitel'noi matematiki i
matematicheskoi fiziki"}
@String{j-ZAMM = "ZAMM"}
@String{pub-ACADEMIA = "Academia"}
@String{pub-ACADEMIA:adr = "Prague"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AKADEMIE-VERLAG = "Akademie-Verlag"}
@String{pub-AKADEMIE-VERLAG:adr = "Berlin, Germany"}
@String{pub-AMS = "AMS"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-ATT-BELL = "AT\&T Bell Laboratories"}
@String{pub-ATT-BELL:adr = "Murray Hill, NJ, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user Verlag"}
@String{pub-BIRKHAUSER:adr = "Basel, Switzerland"}
@String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}
@String{pub-BOOLE = "Boole Press"}
@String{pub-BOOLE:adr = "Dublin, Ireland"}
@String{pub-BULG-ACAD-SCI = "Bulgarian Academy of Sciences"}
@String{pub-BULG-ACAD-SCI:adr = "Sofia, Bulgaria"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr = "Cambridge, UK"}
@String{pub-CRC = "CRC Press"}
@String{pub-CRC:adr = "2000 N.W. Corporate Blvd., Boca Raton, FL
33431-9868, USA"}
@String{pub-DOVER = "Dover Publications"}
@String{pub-DOVER:adr = "New York"}
@String{pub-DUNOD = "Dunod"}
@String{pub-DUNOD:adr = "Paris, France"}
@String{pub-ELLIS-HORWOOD = "Ellis Horwood"}
@String{pub-ELLIS-HORWOOD:adr = "New York, NY, USA"}
@String{pub-ELSEVIER = "Elsevier"}
@String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver
Spring, MD 20910, USA"}
@String{pub-IMACS = "IMACS"}
@String{pub-IMACS:adr = "Department of Computer Science, Rutgers
University, New Brunswick, NJ"}
@String{pub-JOHNS-HOPKINS = "The Johns Hopkins University Press"}
@String{pub-JOHNS-HOPKINS:adr = "Baltimore, MD, USA"}
@String{pub-KLUWER = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht, The
Netherlands"}
@String{pub-LONGMAN = "Longman Scientific and Technical"}
@String{pub-LONGMAN:adr = "Harlow, Essex, UK"}
@String{pub-MASSON = "Masson Editeur"}
@String{pub-MASSON:adr = "Masson, France"}
@String{pub-MATH-SOC-CHARKOV = "Mathematical Society of Charkov"}
@String{pub-MATH-SOC-CHARKOV:adr = "Charkov, Russia"}
@String{pub-MCGRAW-HILL = "McGraw-Hill"}
@String{pub-MCGRAW-HILL:adr = "New York"}
@String{pub-NAUKA = "Nauka"}
@String{pub-NAUKA:adr = "Moscow, USSR"}
@String{pub-NORTH-HOLLAND = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-NTH = "NTH"}
@String{pub-NTH:adr = "Trondheim, Norway"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-PH = "Prentice-{H}all"}
@String{pub-PH:adr = "Englewood Cliffs, NJ 07632, USA"}
@String{pub-PITMAN = "Pitman Publishing"}
@String{pub-PITMAN:adr = "London, UK"}
@String{pub-PLENUM = "Plenum Press"}
@String{pub-PLENUM:adr = "New York, NY, USA; London, UK"}
@String{pub-PRENTICE-HALL = "Prentice-Hall"}
@String{pub-PRENTICE-HALL:adr = "Englewood Cliffs, N.J."}
@String{pub-SIAM = "SIAM"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SPRINGER = "Springer-Verlag"}
@String{pub-SPRINGER:adr = "Berlin"}
@String{pub-SV = "Springer-Verlag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
@String{pub-TEUBNER = "Teubner"}
@String{pub-TEUBNER:adr = "Stuttgart, Germany; Leipzig, Germany"}
@String{pub-U-ALABAMA = "University of Alabama in Huntsville Press"}
@String{pub-U-ALABAMA:adr = "Huntsville, AL, USA"}
@String{pub-USSR-ACAD-SCI = "USSR{A}cademy of {S}ciences"}
@String{pub-USSR-ACAD-SCI:adr = "Moscow, USSR"}
@String{pub-VIEWEG = "Vieweg \& Son"}
@String{pub-VIEWEG:adr = "Braunschweig, Germany"}
@String{pub-VIEWEG-VERLAG = "Vieweg-Verlag"}
@String{pub-VIEWEG-VERLAG:adr = "Braunschweig and Wiesbaden, Germany"}
@String{pub-WILEY = "John Wiley and Sons, Ltd."}
@String{pub-WILEY:adr = "New York, London, Sydney"}
@String{pub-WORLD-SCI = "World Scientific Publishing
Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr = "P. O. Box 128, Farrer Road,
Singapore 9128"}
@String{ser-LNCS = "Lecture Notes in Computer Science"}
@String{ser-LNCSE = "Lecture Notes in Computational Science and
Engineering"}
@InBook{Schwarz:1890:GMA,
author = "H. A. Schwarz",
title = "{Gesammelte Mathematische Abhandlungen}",
volume = "2",
publisher = pub-SV,
address = pub-SV:adr,
pages = "133--143",
year = "1890",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "First published in {Vierteljahrsschrift} der
{Naturforschenden} {Gesellschaft} in {Z}{\"u}rich,
volume 15, 1870, pp. 272--286.",
}
@Article{Poincare:1896:MNP,
author = "Henri Poincar{\'e}",
title = "La m{\'e}thode de {Neumann} et le probl{\`e}me de
{Dirichlet}. ({French}) [{The} {Neumann} method and the
{Dirichlet} problem]",
journal = j-ACTA-MATH,
volume = "20",
pages = "59--??",
year = "1896",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
language = "French",
}
@Book{Steklov:1901:GMS,
author = "V. A. Steklov",
title = "General Methods for Solving Basic Problems of
Mathematical Physics",
publisher = pub-MATH-SOC-CHARKOV,
address = pub-MATH-SOC-CHARKOV:adr,
year = "1901",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Hardy:1934:I,
author = "G. H. Hardy and J. E. Littlewood and G. P{\'o}lya",
title = "Inequalities",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xii + 314",
year = "1934",
LCCN = "QA303 .H32 1934",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Sobolev:1936:LST,
author = "S. L. Sobolev",
title = "{L}'Algorithme de {Schwarz} dans la Th{\'e}orie de
l'Elasticit{\'e}. ({French}) [{The} {Schwarz} algorithm
in the theory of elasticity]",
journal = "Comptes Rendus (Doklady) de {l'Acad{\'e}mie des
Sciences de l'URSS}",
volume = "IV",
number = "(XIII) 6",
pages = "243--246",
year = "1936",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
language = "French",
}
@Article{Bellman:1944:NIS,
author = "Richard Bellman",
title = "A Note on an Inequality of {E. Schmidt}",
journal = j-BULL-AM-MATH-SOC,
volume = "50",
pages = "734--736",
year = "1944",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Hestenes:1956:CGM,
author = "Magnus R. Hestenes",
booktitle = "Proc. Symp. Appl. Math VI, American Mathematical
Society",
title = "The Conjugate Gradient Method for Solving Linear
Systems",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "83--102",
year = "1956",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Morgenstern:1956:BAV,
author = "D. Morgenstern",
title = "{Begr{\"u}ndung des alternierenden Verfahrens durch
Orthogonalprojektion}. ({German}) [{Basis} of the
alternating procedure for orthogonal projection]",
journal = j-ZAMM,
volume = "36",
pages = "7--8",
year = "1956",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
language = "German",
}
@Article{Babuska:1957:SAP,
author = "Ivo Babu{\v{s}}ka",
title = "{{\"U}ber Schwarzsche Algorithmen in partielle
Differentialgleichungen der mathematischen Physik}.
({German}) [{On} the {Schwarz} algorithms in partial
differential equations of mathematical physics]",
journal = j-ZAMM,
volume = "37",
number = "7--8",
pages = "243--245",
year = "1957",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
language = "German",
}
@Article{Babuska:1958:SAP,
author = "Ivo Babu{\v{s}}ka",
title = "The {Schwarz} Algorithm in Partial Differential
Equations of Mathematical Physics",
journal = j-CZECH-MATH-J,
volume = "83",
number = "8",
pages = "328--343",
year = "1958",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "In Russian",
}
@Book{Varga:1962:MIA,
author = "Richard S. Varga",
title = "Matrix Iterative Analysis",
publisher = pub-PRENTICE-HALL,
address = pub-PRENTICE-HALL:adr,
pages = "322",
year = "1962",
LCCN = "QA263 .V3 1962",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Przemieniecki:1963:MSA,
author = "J. S. Przemieniecki",
title = "Matrix structural analysis of substructures",
journal = j-AIAAJ,
volume = "1",
pages = "138--147",
year = "1963",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Bramble:1966:SOF,
author = "James H. Bramble",
title = "A second order finite difference analogue of the first
biharmonic boundary value problem",
journal = j-NUM-MATH,
volume = "9",
pages = "236--249",
year = "1966",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Necas:1967:MDT,
author = "Jind{\v{r}}ich Ne{\v{c}}as",
title = "Les m{\'e}thodes directes en th{\'e}orie des
{\'e}quations elliptiques. ({French}) [{Direct} methods
in the theory of elliptic equations]",
publisher = pub-ACADEMIA,
address = pub-ACADEMIA:adr,
pages = "351",
year = "1967",
LCCN = "QA377 .N4",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
language = "French",
}
@InBook{Ilin:1969:PSC,
author = "V. P. Il'in",
title = "The Properties of Some Classes of Differentiable
Functions of Several Variables Defined in an
$n$-dimensional Region",
volume = "81",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "91--256",
year = "1969",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Originally in Trudy Mat. Inst. Steklov. 66 (1962),
227--363",
series = "2",
}
@Article{Schultz:1971:EBR,
author = "Martin H. Schultz",
title = "${L}^{2}$ error bounds for the
{Rayleigh--Ritz--Galerkin} method",
journal = j-SIAM-J-NUMER-ANAL,
volume = "8",
number = "4",
pages = "737--748",
month = dec,
year = "1971",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Lions:1972:NBV,
author = "Jacques-Louis Lions and Enrico Magenes",
title = "Nonhomogeneous Boundary Value Problems and
Applications",
volume = "I",
publisher = pub-SV,
address = pub-SV:adr,
year = "1972",
ISBN = "0-387-05363-8",
ISBN-13 = "978-0-387-05363-9",
LCCN = "QA3 .G75 v.181",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Strang:1972:AFE,
author = "Gilbert Strang",
title = "Approximation in the finite element method",
journal = j-NUM-MATH,
volume = "19",
pages = "81--98",
year = "1972",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Bell:1973:NPS,
author = "K. Bell and B. Hatlestad and O. E. Hansteen and Per O.
Araldsen",
title = "{NORSAM}, a programming system for the finite element
method. {Users} manual, {Part} 1, {General}
description",
publisher = pub-NTH,
address = pub-NTH:adr,
year = "1973",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{George:1973:NDR,
author = "Alan George",
title = "Nested Dissection of a Regular Finite Element Mesh",
journal = j-SIAM-J-NUMER-ANAL,
volume = "10",
number = "2",
pages = "345--363",
month = apr,
year = "1973",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Strang:1973:AFE,
author = "Gilbert Strang and George J. Fix",
title = "An Analysis of the Finite Element Method",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xiv + 306",
year = "1973",
ISBN = "0-13-032946-0",
ISBN-13 = "978-0-13-032946-2",
LCCN = "TA335 .S77",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Schatz:1974:OCR,
author = "Alfred H. Schatz",
title = "An observation concerning {Ritz--Galerkin} methods
with indefinite bilinear forms",
journal = j-MATH-COMPUT,
volume = "28",
number = "128",
pages = "959--962",
month = oct,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4170 (Differential equations)",
keywords = "analysis; boundary value problems; boundary-value
problems; error; error analysis; estimates; existence;
finite element; finite element method; Garding type
inequality; indefinite bilinear forms; partial
differential equations; Ritz/Galerkin methods;
uniqueness",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Raviart:1975:MFE,
author = "P. A. Raviart and J. M. Thomas",
editor = "A. Dold and B. Eckmann",
booktitle = "Mathematical Aspects of Finite Element Methods",
title = "A Mixed Finite Element Method for 2-nd Order Elliptic
Problems",
publisher = pub-SV,
address = pub-SV:adr,
year = "1975",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Lecture Notes of Mathematics, Volume 606",
}
@InProceedings{Concus:1976:GCG,
author = "Paul Concus and Gene H. Golub and Dianne P. O'Leary",
editor = "James R. Bunch and Donald J. Rose",
booktitle = "Sparse Matrix Computations",
title = "A generalized conjugate gradient method for the
numerical solution of elliptic {PDE}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "309--332",
year = "1976",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Astrakhatsev:1978:MFD,
author = "G. P. Astrakhatsev",
title = "Method of fictitious domains for a second-order
elliptic equation with natural boundary conditions",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "18",
pages = "114--121",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Ciarlet:1978:FEM,
author = "Philippe G. Ciarlet",
title = "The Finite Element Method for Elliptic Problems",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xvii + 530",
year = "1978",
ISBN = "0-444-85028-7",
ISBN-13 = "978-0-444-85028-7",
LCCN = "QA3 .T3 v.49",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Lions:1978:ISM,
author = "Pierre Louis Lions",
title = "Interpr{\'e}tation stochastique de la m{\'e}thode
altern{\'e}e de {Schwarz}. ({French}) [{The} stochastic
interpretation of the {Schwarz} alternating method]",
journal = j-CRAS-PARIS,
volume = "268",
pages = "325--328",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
language = "French",
}
@Article{Glowinski:1979:NMF,
author = "R. Glowinski and O. Pironneau",
title = "Numerical Methods for the First Biharmonic Equation
and for the Two-Dimensional {Stokes} Problem",
journal = j-SIAM-REVIEW,
volume = "21",
number = "2",
pages = "167--212",
month = apr,
year = "1979",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1021028",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65N30 (76D99)",
MRnumber = "80e:65101",
bibdate = "Sat Mar 29 09:53:00 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/21/2;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "April 1979",
xxtitle = "Numerical methods for the first biharmonic equation
and the two-dimensional {Stokes} problem",
xxtitle = "Numerical Methods for the 1st Biharmonic Equation and
for the Two-Dimensional {Stokes} Problem",
}
@PhdThesis{Bjorstad:1980:NSB,
author = "Petter E. Bj{\o}rstad",
title = "Numerical solution of the biharmonic equation",
school = "Stanford University, Stanford, CA",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Dinh:1980:ADD,
author = "R. V. Dinh and R. Glowinski and J. Periaux",
booktitle = "{Numerical methods for engineering, 1 (Paris, 1980)}",
title = "Applications of domain decomposition techniques to the
numerical solution of the {Navier--Stokes} equations",
publisher = pub-DUNOD,
address = pub-DUNOD:adr,
pages = "383--404",
year = "1980",
MRclass = "65P05 (76D05)",
MRnumber = "660683 (83g:65115)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@TechReport{Chin:1981:PCD,
author = "R. C. Y. Chin",
title = "Parallel computation of a domain decomposition
method",
type = "Technical Report",
number = "CSRD 657",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "7",
year = "1981",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
annote = "Supported in part by Lawrence Livermore National
Laboratory. Supported in part by the National Science
Foundation. Supported in part by the U.S. Department of
Energy. Supported in part by the U.S. Air Force.",
keywords = "Decomposition method; Parallel programming (Computer
science)",
}
@InProceedings{Dryja:1981:ACM,
author = "Maksymilian Dryja",
editor = "G. I. Marchuk",
booktitle = "Variational-Difference Methods in Mathematical
Physics",
title = "An Algorithm with a Capacitance Matrix for a
Variational-Difference Scheme",
publisher = pub-USSR-ACAD-SCI,
address = pub-USSR-ACAD-SCI:adr,
pages = "63--73",
year = "1981",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{George:1981:CSL,
author = "Alan George and Joseph Liu",
title = "Computer Solution of Large Sparse Positive Definite
Systems",
publisher = pub-PRENTICE-HALL,
address = pub-PRENTICE-HALL:adr,
pages = "xii + 324",
year = "1981",
ISBN = "0-13-165274-5",
ISBN-13 = "978-0-13-165274-3",
LCCN = "QA188 .G46 1980",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Dryja:1982:CMM,
author = "Maksymilian Dryja",
title = "A capacitance matrix method for {Dirichlet} problem on
polygon region",
journal = j-NUM-MATH,
volume = "39",
pages = "51--64",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Oden:1982:IMT,
author = "J. T. Oden and J. N. Reddy",
title = "An Introduction to the Mathematical Theory of Finite
Elements",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xii + 429",
year = "1982",
ISBN = "0-471-65261-X",
ISBN-13 = "978-0-471-65261-8",
LCCN = "QA379 .O3 1976",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Zavadskii:1982:MKR,
author = "V. Yu. Zavadski{\u\i}",
title = "Metod konechnykh raznostei v volnovykh zadachakh
akustiki",
publisher = "Nauka",
address = "Moscow, USSR",
pages = "272",
year = "1982",
MRclass = "76Q05 (65N05 76-08)",
MRnumber = "701705 (84m:76083)",
MRreviewer = "G. W. Hedstrom",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Dinh:1983:ASN,
author = "Q. V. Dinh and B. Mantel and J. P{\'e}riaux and R.
Glowinski",
booktitle = "{Numerical methods (Caracas, 1982)}",
title = "Approximate solution of the {Navier--Stokes} equations
for incompressible viscous fluids. {Related} domain
decomposition methods",
volume = "1005",
publisher = pub-SV,
address = pub-SV:adr,
pages = "46--86",
year = "1983",
MRclass = "76-08 (65N30 76D05)",
MRnumber = "722815 (85d:76003)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Math.",
acknowledgement = ack-nhfb,
}
@Article{Eisenstat:1983:VIM,
author = "Stanley C. Eisenstat and Howard C. Elman and Martin H.
Schultz",
title = "Variational Iterative Methods for Nonsymmetric Systems
of Linear Equations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "20",
number = "2",
pages = "345--357",
month = apr,
year = "1983",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F10",
MRnumber = "84h:65030",
MRreviewer = "Zden{\v{e}}k Dost{\'a}l",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@InProceedings{Feng:1983:FEM,
author = "Kang Feng",
booktitle = "Proceedings of the International Congress of
Mathematicians",
title = "Finite Element Method and Natural Boundary Reduction",
publisher = "????",
address = "Warsaw, Poland",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Glowinski:1983:DDM,
author = "R. Glowinski and Q. V. Dinh and J. Periaux",
title = "Domain decomposition methods for nonlinear problems in
fluid dynamics",
journal = j-COMPUT-METH-APPL-MECH-ENG,
volume = "40",
number = "1",
pages = "27--109",
year = "1983",
CODEN = "CMMECC",
DOI = "https://doi.org/10.1016/0045-7825(83)90045-2",
ISSN = "0045-7825, 0374-2830",
MRclass = "76-08 (65N30)",
MRnumber = "718028 (84i:76007)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@InCollection{Kuznetsov:1983:IMU,
author = "Yu. A. Kuznetsov and O. D. Trufanov",
booktitle = "{Computational methods in linear algebra (Russian)
(Moscow, 1982)}",
title = "Iterative methods that utilize domain decomposition
for solving the {Helmholtz} wave equation",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "151--174",
year = "1983",
MRclass = "65N99",
MRnumber = "931813 (88k:65121)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Bjorstad:1984:SEP,
author = "Petter E. Bj{\o}rstad and Olof B. Widlund",
editor = "Garrett Birkhoff and Arthur Schoenstadt",
booktitle = "Elliptic Problem Solvers {II}",
title = "Solving elliptic problems on regions partitioned into
substructures",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "245--256",
year = "1984",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Dihn:1984:SEP,
author = "Q. V. Dihn and Roland Glowinski and Jacques
P{\'e}riaux",
editor = "Garrett Birkhoff and Arthur Schoenstadt",
booktitle = "{Elliptic problem solvers, II (Monterey, Calif.,
1983)}",
title = "Solving elliptic problems by domain decomposition
methods with applications",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "395--426",
year = "1984",
MRclass = "65N99",
MRnumber = "764246",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Dryja:1984:FEC,
author = "Maksymilian Dryja",
title = "A finite element-capacitance method for elliptic
problems on regions partitioned into subregions",
journal = j-NUM-MATH,
volume = "44",
pages = "153--168",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Egorov:1984:CRG,
author = "A. V. Egorov and E. P. Zhidkov and B. N.
Khoromski{\u\i}",
title = "Chislennoe reshenie granichnykh integralnykh uravnenii
dlya operatora {Laplasa} na poverkhnosti kuba. {Chast}
2",
publisher = "Joint Inst. Nuclear Res.",
address = "Dubna, USSR",
pages = "12",
year = "1984",
MRclass = "65N30 (65N45 65R20)",
MRnumber = "777145 (86e:65152b)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "With an English summary",
series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
Yadernykh Issledovani\u\i. Dubna} [Communications of
the Joint Institute for Nuclear Research. Dubna],
R11-84-596",
acknowledgement = ack-nhfb,
}
@InProceedings{Golub:1984:UPI,
author = "Gene Golub and D. Mayers",
editor = "R. Glowinski and J. L. Lions",
booktitle = "Computing Methods in Applied Sciences and Engineering,
VI",
title = "The Use of Preconditioning Over Irregular Regions",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "3--14",
year = "1984",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Proceedings of a conference held in Versailles,
France, December 12-16,1983.",
}
@InProceedings{Hackbusch:1984:LDC,
author = "W. Hackbusch",
booktitle = "{Defect correction methods (Oberwolfach, 1983)}",
title = "Local defect correction method and domain
decomposition techniques",
crossref = "Bohmer:1984:DCM",
volume = "5",
pages = "89--113",
year = "1984",
CODEN = "COSPDM",
ISSN = "0344-8029",
MRclass = "65N05 (65B05)",
MRnumber = "782692 (86e:65146)",
MRreviewer = "V. Pereyra",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/mgnet.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database",
series = j-COMPUTING-SUPPLEMENTUM,
acknowledgement = ack-nhfb,
}
@Article{Lappalainen:1984:PCN,
author = "V. Lappalainen and P. Neittaanm{\"a}ki and T.
Tiihonen",
title = "Parallel computing in numerical solution procedures
for partial differential equations",
journal = "Arkhimedes",
volume = "36",
number = "2",
pages = "73--84",
year = "1984",
CODEN = "AKMDA5",
ISSN = "0004-1920",
MRclass = "65W05 (65N05)",
MRnumber = "753363 (85f:65131)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Arkhimedes. Suomen Fyysikkoseura-Finlands
Fysikerforening r.y. Suomen Matemaattinen
Yhdistys-Finlands Matematiska F{\"o}rening r.y.",
}
@InProceedings{McCormick:1984:FAC,
author = "Steve McCormick",
editor = "K. B{\"{o}}hmer and H. J. Stetter",
booktitle = "Defect Correction Methods: Theory and Applications",
title = "Fast adaptive composite grid ({FAC}) methods",
organization = "Computing Supplementum 5",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr,
pages = "115--121",
year = "1984",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Nepomnyaschikh:1984:AMB,
author = "S. V. Nepomnyaschikh",
title = "On the application of the method of bordering for
elliptic mixed boundary value problems and on the
difference norms of $ {W}^{1/2}_{2}({S}) $",
number = "106",
institution = inst-CC-SB-USSR-ACAD-SCI,
address = inst-CC-SB-USSR-ACAD-SCI:adr,
year = "1984",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "In Russian",
}
@InProceedings{Widlund:1984:IME,
author = "Olof B. Widlund",
editor = "R. Glowinski and J. L. Lions",
booktitle = "Computing Methods in Applied Sciences and Engineering,
VI",
title = "Iterative Methods for Elliptic Problems on Regions
Partitioned into Substructures and the Biharmonic
{Dirichlet} Problem",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "33--45",
year = "1984",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Agapov:1985:PAR,
author = "V. K. Agapov and S. A. Finogenov",
booktitle = "{Methods of numerical and applied mathematics
(Russian)}",
title = "On a problem on the approximate realization of a
method for domain decomposition",
publisher = "Akad. Nauk SSSR Vychisl. Tsentr",
address = "Moscow, USSR",
pages = "4--16",
year = "1985",
MRclass = "65N50",
MRnumber = "938319",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@TechReport{Chan:1985:DDF,
author = "Tony F. Chan and Diana C. Resasco",
title = "A domain-decomposed fast {Poisson} solver on a
rectangle",
number = "{/DCS/RR-409}",
institution = "Yale University",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Chan:1985:SPD,
author = "Tony F. Chan and Diana C. Resasco",
title = "A survey of preconditioners for domain decomposition",
number = "{/DCS/RR-414}",
institution = "Yale University",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Glowinski:1985:FEL,
author = "R. Glowinski and J. P{\'e}riaux",
booktitle = "{Numerical methods in fluid dynamics (Como, 1983)}",
title = "Finite element, least squares and domain decomposition
methods for the numerical solution of nonlinear
problems in fluid dynamics",
volume = "1127",
publisher = pub-SV,
address = pub-SV:adr,
pages = "1--114",
year = "1985",
DOI = "https://doi.org/10.1007/BFb0074529",
MRclass = "76-08 (65M60 65N30 76D05)",
MRnumber = "802211 (87c:76008)",
MRreviewer = "Wolfgang Moldenhauer",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Math.",
acknowledgement = ack-nhfb,
}
@Book{Grisvard:1985:EPN,
author = "P. Grisvard",
title = "Elliptic problems in nonsmooth domains",
publisher = pub-PITMAN,
address = pub-PITMAN:adr,
pages = "xiv + 410",
year = "1985",
ISBN = "0-273-08647-2",
ISBN-13 = "978-0-273-08647-5",
LCCN = "QA379 .G74 1985",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Gustafson:1985:PEE,
author = "Karl Gustafson",
title = "Principles of electricity and economics in fluid
dynamics",
journal = j-NUMER-METHODS-PARTIAL-DIFFER-EQU,
volume = "1",
number = "2",
pages = "145--157",
year = "1985",
CODEN = "NMPDEB",
DOI = "https://doi.org/10.1002/num.1690010205",
ISSN = "0749-159X",
MRclass = "76-08 (90C50)",
MRnumber = "847023 (87k:76002)",
MRreviewer = "Eugene L. Wachspress",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Methods for Partial Differential Equations.
An International Journal",
}
@Book{Kuznetsov:1985:MVP,
editor = "Yu. A. Kuznetsov",
title = "Metody vychislitelnoi i prikladnoi matematiki",
publisher = "Akad. Nauk SSSR Vychisl. Tsentr",
address = "Moscow, USSR",
pages = "173",
year = "1985",
MRclass = "00A10 (65-06)",
MRnumber = "938318 (88k:00015)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Matsokin:1985:SAM,
author = "A. M. Matsokin and S. V. Nepomnyaschikh",
title = "A {Schwarz} alternating method in a subspace",
journal = j-SOV-MATH,
volume = "29",
number = "10",
pages = "78--84",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Przemieniecki:1985:TMS,
author = "J. S. Przemieniecki",
title = "Theory of Matrix Structural Analysis",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "468",
year = "1985",
ISBN = "0-486-64948-2",
ISBN-13 = "978-0-486-64948-1",
LCCN = "TA642.P77 1985",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Reprint of McGraw Hill, 1968",
}
@Article{Rodrigue:1985:IOI,
author = "Garry Rodrigue",
title = "Inner/outer iterative methods and numerical {Schwarz}
algorithms",
journal = j-PARALLEL-COMPUTING,
volume = "2",
number = "3",
pages = "205--218",
year = "1985",
CODEN = "PACOEJ",
DOI = "https://doi.org/10.1016/0167-8191(85)90003-1",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
MRclass = "65N20 (65W05)",
MRnumber = "825967 (87c:65138)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Parallel Computing. Theory and Applications",
}
@InCollection{Trufanov:1985:MDD,
author = "O. D. Trufanov",
booktitle = "{Methods of numerical and applied mathematics
(Russian)}",
title = "A method of domain decomposition for the {Helmholtz}
equation with a complex parameter",
publisher = "Akad. Nauk SSSR Vychisl. Tsentr",
address = "Moscow, USSR",
pages = "136--143",
year = "1985",
MRclass = "65N50",
MRnumber = "938330",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Yserentant:1985:HBF,
author = "Harry Yserentant",
title = "Hierarchical Bases of Finite-Element Spaces in the
Discretization of Nonsymmetric Elliptic Boundary Value
Problems",
journal = j-COMPUTING,
volume = "35",
pages = "39--49",
year = "1985",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Agoshkov:1986:DDM,
author = "V. I. Agoshkov",
booktitle = "{Computing methods in applied sciences and
engineering, VII (Versailles, 1985)}",
title = "Domain decomposition methods in problems of
hydrodynamics",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "303--310",
year = "1986",
MRclass = "65P05 (65W05 76-08)",
MRnumber = "905303 (88h:65226)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Book{Bespalov:1986:MRO,
author = "A. N. Bespalov and Yu. A. Kuznetsov",
title = "Metody razbieniya oblasti i fiktivnykh komponent dlya
rascheta obemnykh rezonatorov",
volume = "134",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "32",
year = "1986",
MRclass = "65N05 (39A70 47B39 78A50)",
MRnumber = "937510 (90a:65216)",
MRreviewer = "B. Belinskiy",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@Article{Bjorstad:1986:IMS,
author = "Petter E. Bj{\o}rstad and Olof B. Widlund",
title = "Iterative methods for the solution of elliptic
problems on regions partitioned into substructures",
journal = j-SIAM-J-NUMER-ANAL,
volume = "23",
number = "6",
pages = "1097--1120",
month = dec,
year = "1986",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N20 (65F10 65N30)",
MRnumber = "88h:65188",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bramble:1986:CPE,
author = "James H. Bramble and Joseph E. Pasciak and Alfred H.
Schatz",
title = "The construction of preconditioners for elliptic
problems by substructuring. {I}",
journal = j-MATH-COMPUT,
volume = "47",
number = "175",
pages = "103--134",
month = jul,
year = "1986",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008084",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N30 (65F10 65W05)",
MRnumber = "842125 (87m:65174)",
MRreviewer = "Charles I. Goldstein",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; MathSciNet database;
Parallel/mgnet.bib; Parallel/Multi.grid.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); B0290P (Differential
equations); C4130 (Interpolation and function
approximation); C4140 (Linear algebra); C4170
(Differential equations)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
fjournal = "Mathematics of Computation",
keywords = "algebraic system of equations; boundary-value
problems; condition number analysis; convergence of
numerical methods; differential; discrete systems;
domain decomposition; finite element analysis; finite
element methods; irregular geometry; iterative
convergence rate; iterative methods; linear algebra;
operators; parallel computing; parallel processing;
partial differential equations; preconditioners;
substructuring; symmetric elliptic boundary; value
problems",
kwds = "nla, preconditioning",
treatment = "T Theoretical or Mathematical",
}
@Article{Bramble:1986:IME,
author = "James H. Bramble and Joseph E. Pasciak and Alfred H.
Schatz",
title = "An iterative method for elliptic problems on regions
partitioned into substructures",
journal = j-MATH-COMPUT,
volume = "46",
number = "174",
pages = "361--369",
month = apr,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N20 (65F10 65N30)",
MRnumber = "88a:65123",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "analytic estimates; discretizations; elliptic
problems; iterative method; iterative methods; matrix
problems; preconditioners",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Dryja:1986:MDD,
author = "Maksymilian Dryja and Wlodek Proskurowski and Olof
Widlund",
editor = "Bl. Sendov",
booktitle = "Optimal Algorithms",
title = "A Method of Domain Decomposition with Crosspoints for
Elliptic Finite Element Problems",
publisher = pub-BULG-ACAD-SCI,
address = pub-BULG-ACAD-SCI:adr,
pages = "97--111",
year = "1986",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Glowinski:1986:DMS,
author = "Roland Glowinski and J. P{\'e}riaux",
booktitle = "{Innovative numerical methods in engineering (Atlanta,
Ga., 1986)}",
title = "Decomposition methods in scientific computing:
application to fluid calculations",
publisher = "Comput. Mech.",
address = "Southampton, UK",
pages = "1--15",
year = "1986",
MRclass = "65L05 (65M05 65N05)",
MRnumber = "902856 (88h:65136)",
MRreviewer = "Luciano Biasini",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Kuznetsov:1986:FCD,
author = "Yu. A. Kuznetsov",
booktitle = "{Computing methods in applied sciences and
engineering, VII (Versailles, 1985)}",
title = "Fictitious component and domain decomposition methods
for the solution of eigenvalue problems",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "155--172",
year = "1986",
MRclass = "65F15 (65F50)",
MRnumber = "905293 (88k:65035)",
MRreviewer = "Alan L. Andrew",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Kuznetsov:1986:IMS,
author = "Yurij A. Kuznetsov",
booktitle = "{Vistas in applied mathematics}",
title = "Iterative methods in subspaces for eigenvalue
problems",
publisher = "Optimization Software",
address = "New York, NY, USA",
pages = "96--113",
year = "1986",
MRclass = "65F15",
MRnumber = "859925 (88a:65043)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Transl. Ser. Math. Engrg.",
acknowledgement = ack-nhfb,
}
@Book{Lebedev:1986:CM,
author = "V. I. Lebedev",
title = "Composition methods",
publisher = pub-USSR-ACAD-SCI,
address = pub-USSR-ACAD-SCI:adr,
year = "1986",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "In Russian",
}
@Article{Marchuk:1986:FDD,
author = "G. I. Marchuk and Yu. A. Kuznetsov and A. M.
Matsokin",
title = "Fictitious domain and domain decomposition methods",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "1",
number = "1",
pages = "3--61",
year = "1986",
ISSN = "0169-2895",
MRclass = "65F10 (65N20)",
MRnumber = "897996 (88d:65061)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
xxpages = "3--35",
}
@Article{McCormick:1986:FAC,
author = "S. F. McCormick and J. W. Thomas",
title = "The fast adaptive composite grid ({FAC}) method for
elliptic equations",
journal = j-MATH-COMPUT,
volume = "46",
number = "174",
pages = "439--456",
month = apr,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N20 (65F10 65N50)",
MRnumber = "87e:65070",
MRreviewer = "Harry Yserentant",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib;
Parallel/Multi.grid.bib; Theory/o_ccd.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Colorado State Univ., Fort Collins,
CO, USA",
keywords = "boundary-value problems; coarse grid; differential
boundary value problems; differential equations;
elliptic; equations; fast adaptive grid method;
parallel computation; solution; vector computation",
treatment = "T Theoretical or Mathematical",
}
@Article{Miellou:1986:IMP,
author = "J.-C. Miellou and G.-R. Perrin and P. Spiteri",
title = "Inexpensive Method of Performance Evaluation for
Subdomain Decomposition Parallel Algorithms of
Three-Dimensional Elliptical Problems",
journal = j-J-SYST-SOFTW,
volume = "6",
number = "1--2",
pages = "169--173",
month = may,
year = "1986",
CODEN = "JSSODM",
ISSN = "0164-1212 (print), 1873-1228 (electronic)",
bibdate = "Wed Dec 16 15:40:53 MST 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/jsystsoftw.bib;
http://www.sciencedirect.com/science/journal/01641212",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ de Franche-Comte, Besancon, Fr",
classification = "722; 723; 921",
conference = "Perform 84, Modell and Perform Eval of",
journalabr = "J Syst Software",
keywords = "Algorithms; computer programming; computer systems,
digital --- Parallel Processing; mathematical software;
mathematical techniques --- Iterative Methods; parallel
algorithms; performance evaluation; subdomain
decomposition; three-dimensional elliptical problems",
meetingdate = "1986",
meetingdate2 = "84",
}
@Article{Miki:1986:NSP,
author = "Kazuyoshi Miki and Toshiyuki Takagi",
title = "Numerical solution of {Poisson}'s equation with
arbitrarily shaped boundaries using a domain
decomposition and overlapping technique",
journal = j-J-COMPUT-PHYS,
volume = "67",
number = "2",
pages = "263--278",
month = dec,
year = "1986",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(86)90262-7",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
MRclass = "65N30 (78-08)",
MRnumber = "867774 (87m:65188)",
bibdate = "Sun Jan 1 15:59:33 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
MathSciNet database",
URL = "http://www.sciencedirect.com/science/article/pii/0021999186902627",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@PhdThesis{Nepomnyaschikh:1986:DDS,
author = "Sergey V. Nepomnyaschikh",
title = "Domain Decomposition and Schwarz Methods in a Subspace
for the Approximate Solution of Elliptic Boundary Value
Problems",
school = inst-CC-SB-USSR-ACAD-SCI,
address = inst-CC-SB-USSR-ACAD-SCI:adr,
year = "1986",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Saad:1986:GGM,
author = "Y. Saad and M. H. Schultz",
title = "{GMRES}: {A} generalized minimum residual algorithm
for solving nonsymmetric linear systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
pages = "856--869",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Vassilevski:1986:MMS,
author = "Panayot Vassilevski",
booktitle = "{Multigrid methods, II (Cologne, 1985)}",
title = "Multigrid method in subspace and domain partitioning
in the discrete solution of elliptic problems",
volume = "1228",
publisher = pub-SV,
address = pub-SV:adr,
pages = "301--314",
year = "1986",
DOI = "https://doi.org/10.1007/BFb0072654",
MRclass = "65N20",
MRnumber = "896068 (88g:65102)",
MRreviewer = "Dietrich Braess",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Math.",
acknowledgement = ack-nhfb,
}
@Article{Yserentant:1986:HBG,
author = "Harry Yserentant",
title = "Hierarchical Bases Give Conjugate Gradient Type
Methods a Multigrid Speed of Convergence",
journal = j-APP-MATH-COMP,
volume = "19",
pages = "347--358",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Yserentant:1986:MLSa,
author = "Harry Yserentant",
title = "On the Multi-Level Splitting of Finite Element
Spaces",
journal = j-NUM-MATH,
volume = "49",
pages = "379--412",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Yserentant:1986:MLSb,
author = "Harry Yserentant",
title = "On the Multi-Level Splitting of Finite Element Spaces
for Indefinite Elliptic Boundary Value Problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "23",
number = "3",
pages = "581--595",
month = jun,
year = "1986",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N30 (65F10 65N20)",
MRnumber = "87m:65199",
MRreviewer = "Stephen W. Brady",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Agoshkov:1987:ROD,
author = "V. I. Agoshkov",
title = "Reflection operators and domain decomposition methods
in transport theory problems",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "2",
number = "5",
pages = "325--347",
year = "1987",
ISSN = "0169-2895",
MRclass = "65R20 (47B99 65J15 82A70)",
MRnumber = "915327 (88j:65288)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Translated from the Russian",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@InCollection{Bespalov:1987:FEM,
author = "A. N. Bespalov",
booktitle = "{Numerical methods and mathematical modeling
(Russian)}",
title = "The finite element method for a problem on the natural
oscillations of a three-dimensional resonator",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "82--103",
year = "1987",
MRclass = "78-08 (65N30)",
MRnumber = "1006886 (90j:78002)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Bespalov:1987:RCC,
author = "A. N. Bespalov and Yu. A. Kuznetsov",
title = "{RF} cavity computations by the domain decomposition
and fictitious components methods",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "2",
number = "4",
pages = "259--278",
year = "1987",
ISSN = "0169-2895",
MRclass = "78A50 (65N25 65N30 78-08)",
MRnumber = "907854 (89a:78010)",
MRreviewer = "Lubor Malina",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Translated from the Russian",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Article{Bramble:1987:CPE,
author = "James H. Bramble and Joseph E. Pasciak and Alfred H.
Schatz",
title = "The construction of preconditioners for elliptic
problems by substructuring, {II}",
journal = j-MATH-COMPUT,
volume = "49",
number = "179",
pages = "1--16",
month = jul,
year = "1987",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008246",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N30 (65F10)",
MRnumber = "890250 (88j:65248)",
MRreviewer = "Charles I. Goldstein",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; MathSciNet database;
Parallel/mgnet.bib; Parallel/Multi.grid.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4180 (Integral equations)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
fjournal = "Mathematics of Computation",
keywords = "algorithms; approximation; approximation theory;
boundary-value problems; condition number;
decomposition techniques; discrete systems; domain;
elliptic boundary value problems; environments; mesh
size; parallel computing; preconditioned system;
singularly perturbed problems; subdomain size;
substructuring; three-dimensions problems",
kwds = "nla, preconditioning",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Bramble:1987:PTI,
author = "James H. Bramble and Joseph E. Pasciak",
title = "A Preconditioning Technique for Indefinite Systems
Resulting from Mixed Approximations of Elliptic
Problems",
institution = "Cornell University",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Chan:1987:ADD,
author = "Tony F. Chan and Diana C. Resasco",
editor = "R. Vichnevetsky and R. Stepleman",
booktitle = "Advances in Computer Methods for Partial Differential
Equations",
title = "Analysis of Domain Decomposition Preconditioners on
Irregular Regions",
publisher = pub-IMACS,
address = pub-IMACS:adr,
year = "1987",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Chan:1987:APD,
author = "Tony F. Chan",
title = "Analysis of Preconditioners for Domain Decomposition",
journal = j-SIAM-J-NUMER-ANAL,
volume = "24",
number = "2",
pages = "382--390",
month = apr,
year = "1987",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0724029",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F10 (65N20)",
MRnumber = "881372 (88e:65033)",
MRreviewer = "Harry Yserentant",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@TechReport{Dryja:1987:AVS,
author = "Maksymilian Dryja and Olof B. Widlund",
title = "An Additive Variant of the {Schwarz} Alternating
Method for the Case of Many Subregions",
number = "339, also Ultracomputer Note 131",
institution = "Department of Computer Science, Courant Institute",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Gear:1987:SCP,
author = "C. W. Gear and R. G. Voigt",
title = "{Second Conference on Parallel Processing for
Scientific Computing}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "8",
number = "2",
pages = "S139--S287",
month = mar,
year = "1987",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Sat May 03 12:12:00 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other and miscellaneous); C4100 (Numerical
analysis)",
conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985",
conftitle = "Second Conference on Parallel Processing for
Scientific Computing",
keywords = "domain decomposition for elliptic PDEs; hyperbolic
conservation-law systems; hypercube algorithms;
numerical methods; parallel algorithms; performance
measurements; statistical analysis; symmetric
eigenvalue problem; symmetric tridiagonal eigenvalue
problem",
sponsororg = "SIAM; NSF; Air Force Office Sci. Res",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Glowinski:1987:DDM,
author = "Roland Glowinski and Mary F. Wheeler",
title = "Domain decomposition and mixed finite element methods
for elliptic problems",
number = "87-11",
institution = "Rice University",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Glowinski:1987:NMN,
author = "Roland Glowinski and Jacques F. P{\'e}riaux",
booktitle = "{Supercomputing}",
title = "Numerical methods for nonlinear problem in fluid
dynamics",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "381--479",
year = "1987",
MRclass = "65P05 (76-08)",
MRnumber = "1026941 (90k:65187)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Gonzalez:1987:DDE,
author = "Ruth Gonzalez and Mary Fanett Wheeler",
title = "Domain decomposition for elliptic partial differential
equations with {Neumann} boundary conditions",
journal = j-PARALLEL-COMPUTING,
volume = "5",
number = "1--2",
pages = "257--263",
month = jul,
year = "1987",
CODEN = "PACOEJ",
DOI = "https://doi.org/10.1016/0167-8191(87)90022-6",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
MRclass = "65N20 (65W05)",
MRnumber = "898046 (88d:65148)",
bibdate = "Mon Apr 14 12:07:40 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib;
MathSciNet database",
note = "Proceedings of the international conference on vector
and parallel computing---issues in applied research and
development (Loen, 1986).",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations); C5440 (Multiprocessor systems and
techniques)",
conflocation = "Loen, Norway; 2-6 June 1986",
conftitle = "International Conference on Vector and Parallel
Computing --- Issues in Applied Research and
Development",
corpsource = "Exxon Production Res. Co., Houston, TX, USA",
keywords = "conditions; dimensional problems; domain
decomposition; element discretizations; elliptic
partial differential equations; finite; finite
difference discretization; large two-; Neumann
boundary; parallel processing; partial differential
equations; preconditioned conjugate gradient method;
preconditioner",
sponsororg = "IBM Norway; R. Norwegian Council Sci. and Ind. Res.;
AMDAHL; FPS; CRAY",
treatment = "P Practical; T Theoretical or Mathematical",
}
@TechReport{Hart:1987:AMA,
author = "Leslie Hart and Steve McCormick",
title = "Asynchronous Multilevel Adaptive Methods for Solving
Partial Differential Equations on Multiprocessors:
Computational Analysis",
institution = "Comp. Math. Group, Univ. of Colorado at Denver",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Submitted to Parallel Computing",
}
@Book{Johnson:1987:NSP,
author = "Claes Johnson",
title = "Numerical Solutions of Partial Differential Equations
by the Finite Element Method",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "278",
year = "1987",
ISBN = "0-521-34514-6",
ISBN-13 = "978-0-521-34514-9",
LCCN = "TA347.F5 J621 1987",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Kang:1987:PAD,
author = "Li Shan Kang",
booktitle = "{Numerical methods for partial differential equations
(Shanghai, 1987)}",
title = "Parallel algorithms and domain decomposition",
volume = "1297",
publisher = pub-SV,
address = pub-SV:adr,
pages = "61--75",
year = "1987",
DOI = "https://doi.org/10.1007/BFb0078540",
MRclass = "65N20 (65W05)",
MRnumber = "929038 (89f:65113)",
MRreviewer = "Dirk Roose",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Math.",
acknowledgement = ack-nhfb,
}
@Article{Keyes:1987:CDD,
author = "David E. Keyes and William D. Gropp",
title = "A comparison of domain decomposition techniques for
elliptic partial differential equations and their
parallel implementation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "8",
number = "2",
pages = "S166--S202",
year = "1987",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0908020",
ISSN = "0196-5204",
MRclass = "65N20 (65F10 65W05)",
MRnumber = "879402 (88g:65101)",
MRreviewer = "Michel Cosnard",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Parallel processing for scientific computing (Norfolk,
Va., 1985)",
acknowledgement = ack-nhfb,
fjournal = "Society for Industrial and Applied Mathematics.
Journal on Scientific and Statistical Computing",
}
@Article{Kuznetsov:1987:DDM,
author = "Yu. A. Kuznetsov and O. D. Trufanov",
title = "Domain decomposition methods for the wave {Helmholtz}
equation",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "2",
number = "2",
pages = "113--136",
year = "1987",
ISSN = "0169-2895",
MRclass = "65N30 (35J05)",
MRnumber = "900367 (88i:65133)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@TechReport{Lee:1987:FPS,
author = "Daeshik Lee and E. J. (Efstratios J.) Gallopoulos",
title = "Fast {{Poisson}} solver on irregular regions by
boundary integral-based domain decomposition methods",
type = "Technical Report",
number = "CSRD 687",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "4",
year = "1987",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
annote = "[3-4].",
keywords = "Poisson's equation",
}
@InProceedings{Mastin:1987:IFD,
author = "C. Wayne Mastin",
booktitle = "{Proceedings of the 2nd international conference on
computational and applied mathematics (Leuven, 1986)}",
title = "Implicit finite difference methods on composite
grids",
volume = "20 (special issue)",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "317--323",
year = "1987",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(87)90148-8",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "65N50",
MRnumber = "920401 (89b:65292)",
MRreviewer = "Randall J. LeVeque",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = j-J-COMPUT-APPL-MATH,
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
}
@Article{Quarteroni:1987:DDT,
author = "A. Quarteroni",
title = "Domain decomposition techniques using spectral
methods",
journal = j-CALCOLO,
volume = "24",
number = "2",
pages = "141--177",
year = "1987",
CODEN = "CDABAE",
DOI = "https://doi.org/10.1007/BF02575820",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
MRclass = "65M50 (65N50)",
MRnumber = "945775 (89h:65149)",
MRreviewer = "Ji{\v{r}}{\'\i} H{\v{r}}eb{\'\i}{\v{c}}ek",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory
of Computation",
}
@Article{Takagi:1987:NAE,
author = "Toshiyuki Takagi and Kazuyoshi Miki and Hiroki Sano",
title = "New Approach to Electron Beam Analysis Using a Domain
Decomposition and Overlapping Method in a
Three-Dimensional Boundary-Fitted Coordinate System",
journal = j-APPL-NUM-MATH,
volume = "3",
number = "4",
pages = "305--316",
month = aug,
year = "1987",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
bibdate = "Sat Feb 8 10:10:32 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
classification = "723; 921; 932",
journalabr = "Appl Numer Math",
keywords = "computer software; domain decomposition; electron
beams; mathematical transformations; overlapping
method",
}
@InProceedings{White:1987:MPI,
author = "R. E. White",
booktitle = "{Proceedings of the first world congress on
computational mechanics (Austin, Tex., 1986)}",
title = "Multisplittings and parallel iterative methods",
volume = "64(1--3)",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "567--577",
year = "1987",
CODEN = "CMMECC",
DOI = "https://doi.org/10.1016/0045-7825(87)90057-0",
ISSN = "0045-7825, 0374-2830",
MRclass = "65W05 (65N20)",
MRnumber = "912527 (88j:65315)",
MRreviewer = "Mari{\'a}n Vajter{\v{s}}ic",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = j-COMPUT-METH-APPL-MECH-ENG,
acknowledgement = ack-nhfb,
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@InProceedings{Widlund:1987:ETF,
author = "Olof B. Widlund",
editor = "Wolfgang Hackbusch and Kristian Witsch",
booktitle = "Numerical Techniques in Continuum Mechanics",
title = "An Extension Theorem for Finite Element Spaces with
Three Applications",
volume = "16",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "110--122",
year = "1987",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Proceedings of the Second GAMM-Seminar, Kiel, January,
1986",
series = "Notes on Numerical Fluid Mechanics",
}
@Article{Zanolli:1987:DDA,
author = "P. Zanolli",
title = "Domain decomposition algorithms for spectral methods",
journal = j-CALCOLO,
volume = "24",
number = "3--4",
pages = "201--240",
year = "1987",
CODEN = "CDABAE",
DOI = "https://doi.org/10.1007/BF02679107",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
MRclass = "65N55",
MRnumber = "1004518 (91d:65193)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory
of Computation",
}
@Article{Zhao:1987:MTF,
author = "He Sheng Zhao",
title = "The {Marcinkiewicz} theorem for {Fourier} series on
compact {Lie} groups",
journal = "Chinese Ann. Math. Ser. A",
volume = "8",
number = "6",
pages = "693--702",
year = "1987",
ISSN = "1000-8314",
MRclass = "43A77",
MRnumber = "944428 (89f:43011)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "An English summary appears in Chinese Ann. Math. Ser.
B {{\bf{9}}} (1988), no. 1, 148--149",
acknowledgement = ack-nhfb,
fjournal = "Chinese Annals of Mathematics. Series A. Shuxue
Niankan. A Ji",
}
@Article{Agapov:1988:SVD,
author = "V. K. Agapov and Yu. A. Kuznetsov",
title = "On some versions of the domain decomposition method",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "3",
number = "4",
pages = "245--265",
year = "1988",
ISSN = "0169-2895",
MRclass = "65N30 (65F99)",
MRnumber = "953946 (89h:65170)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Translated from the Russian",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@InCollection{Agoshkov:1988:NRM,
author = "V. I. Agoshkov and S. N. Buleev",
booktitle = "{Conjugate equations and perturbation algorithms
(Russian)}",
title = "Numerical realization of the method of decomposition
of domains",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "3--27",
year = "1988",
MRclass = "65N55",
MRnumber = "1035713 (91k:65151)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Agoshkov:1988:PSO,
author = "V. I. Agoshkov",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "{Poincar{\'e}--Steklov} Operators and Domain
Decomposition Methods in Finite Dimensional Spaces",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "73--112",
year = "1988",
MRclass = "65N99 (65F10 65N30)",
MRnumber = "972513 (90d:65210)",
MRreviewer = "Robert Beauwens",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Book{Agoshkov:1988:SUA,
editor = "V. I. Agoshkov and V. P. Shutyaev",
title = "Sopryazhennye uravneniya i algoritmy vozmushchenii",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "168",
year = "1988",
MRclass = "00A10 (65-06)",
MRnumber = "1035712 (90h:00002)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Axelsson:1988:BPD,
author = "O. Axelsson and B. Polman",
title = "Block preconditioning and domain decomposition
methods. {II}",
journal = j-J-COMPUT-APPL-MATH,
volume = "24",
number = "1--2",
pages = "55--72",
year = "1988",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(88)90343-3",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "65N50 (65F30 65W05)",
MRnumber = "976603 (90m:65207)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Iterative methods for the solution of linear systems",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
}
@Article{Bank:1988:HBM,
author = "Randolph E. Bank and Todd F. Dupont and Harry
Yserentant",
title = "The Hierarchical Basis Multigrid Method",
journal = j-NUM-MATH,
volume = "52",
pages = "427--458",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Bjorstad:1988:IMS,
author = "Petter E. Bj{\o}rstad and Anders Hvidsten",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "Domain Decomposition Methods for Partial Differential
Equations",
title = "Iterative Methods for Substructured Elasticity
Problems in Structural Analysis",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1988",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Boulbrachene:1988:MFE,
author = "M. Boulbrachene and Ph. Cortey-Dumont and J.-C.
Miellou",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "Mixing finite elements and finite differences in a
subdomain method",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "198--216",
year = "1988",
MRclass = "65N30",
MRnumber = "972517 (90a:65232)",
MRreviewer = "R. S. Naoum",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Bourgat:1988:FVA,
author = "Jean-Fran{\c{c}}ois Bourgat and Roland Glowinski and
Patrick Le Tallec",
title = "Formulation variationnelle et algorithme de
d{\'e}composition de domaines pour les probl{\`e}mes
elliptiques. ({French}) [{Variational} formulation and
algorithm for the domain decomposition in elliptic
problems]",
journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH,
volume = "306",
number = "13",
pages = "569--572",
year = "1988",
CODEN = "CASMEI",
ISSN = "0249-6291",
MRclass = "65N50",
MRnumber = "941627 (89b:65290)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des
Sciences. S{\'e}rie I. Math{\'e}matique",
language = "French",
}
@Article{Bramble:1988:CPE,
author = "James H. Bramble and Joseph E. Pasciak and Alfred H.
Schatz",
title = "The construction of preconditioners for elliptic
problems by substructuring. {III}",
journal = j-MATH-COMPUT,
volume = "51",
number = "184",
pages = "415--430",
month = oct,
year = "1988",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008756",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N30 (65F10)",
MRnumber = "935071 (89e:65118)",
MRreviewer = "Charles I. Goldstein",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; MathSciNet database;
Parallel/mgnet.bib; Parallel/Multi.grid.bib;
Parallel/par.lin.alg.bib",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations); C4170 (Differential
equations); C4130 (Interpolation and function
approximation)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
fjournal = "Mathematics of Computation",
keywords = "boundary interface conditions; boundary-value
problems; Chebyshev approximation; converge;
convergence of numerical methods; discrete; elliptic
boundary value; elliptic problems; equations;
incomplete Chebyshev; iteration; iterative algorithms;
iterative methods; number of unknowns; numerical
approximation; preconditioners; problems;
substructuring; systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Bramble:1988:PTE,
author = "James H. Bramble and Richard E. Ewing and Joseph E.
Pasciak and Alfred H. Schatz",
title = "A preconditioning technique for the efficient solution
of problems with local grid refinement",
journal = j-COMP-METH-APP-MECH-ENG,
volume = "67",
pages = "149--159",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Brezzi:1988:SMF,
author = "F. Brezzi",
booktitle = "{Finite elements (Hampton, VA, 1986)}",
title = "A survey of mixed finite element methods",
publisher = pub-SV,
address = pub-SV:adr,
pages = "34--49",
year = "1988",
MRclass = "65N30",
MRnumber = "964479 (89m:65099)",
MRreviewer = "I. Christie",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "ICASE/NASA LaRC Ser.",
acknowledgement = ack-nhfb,
}
@InCollection{Buleev:1988:MMD,
author = "S. N. Buleev",
booktitle = "{Conjugate equations and perturbation algorithms
(Russian)}",
title = "A modification of the method of domain decomposition",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "28--37",
year = "1988",
MRclass = "65N55 (76M25 76R50)",
MRnumber = "1035714 (91d:65185)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Canuto:1988:SAS,
author = "C. Canuto and D. Funaro",
title = "The {Schwarz} Algorithm for Spectral Methods",
journal = j-SIAM-J-NUMER-ANAL,
volume = "25",
number = "1",
pages = "24--40",
month = feb,
year = "1988",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N35 (65N30)",
MRnumber = "89b:65286",
MRreviewer = "Viorel Arnautu",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@TechReport{Chan:1988:ADD,
author = "Tony F. Chan and Diana C. Resasco",
title = "An analysis of domain decomposition preconditioners on
{L}-shaped and {C}-shaped regions",
number = "{/DCS/RR-534}",
institution = "Yale University",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Chan:1988:DDA,
author = "T. F. Chan",
title = "Domain Decomposition Algorithms and Computational
Fluid Dynamics",
journal = j-IJSA,
volume = "2",
number = "4",
pages = "72--83",
month = "Winter",
year = "1988",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibdate = "Tue Feb 18 10:40:00 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover
library database",
acknowledgement = ack-nhfb,
affiliation = "California Univ., Los Angeles, CA, USA",
}
@TechReport{Chan:1988:DDI,
author = "Tony F. Chan and Thomas Y. Hou",
title = "Domain Decomposition Interface Preconditions for
General Second Order Elliptic Problems",
number = "CAM 88-16",
institution = "Department of Mathematics, UCLA",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Chan:1988:SSO,
author = "Tony F. Chan and Danny Goovaerts",
title = "{Schwarz} = {Schur}: Overlapping versus Nonoverlapping
Domain Decomposition",
number = "CAM 88-21",
institution = "Department of Mathematics, UCLA",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Chen:1988:SDD,
author = "Hsin-Chu Chen",
title = "The {SAS} domain decomposition method for structural
analysis",
type = "Technical Report",
number = "CSRD 754; UILU-ENG-88-8003",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "vi + 112",
year = "1988",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
annote = "Supported in part by the National Science Foundation.
Supported in part by the U.S. Department of Energy.
Supported in part by the U.S. Air Force Office of
Scientific Research.",
keywords = "Decomposition method; Structural analysis
(Engineering) --- Matrix methods; Symmetric domains",
}
@InCollection{Dinh:1988:CVI,
author = "Q. V. Dinh and R. Glowinski and J. P{\'e}riaux and G.
Terrasson",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "On the coupling of viscous and inviscid models for
incompressible fluid flows via domain decomposition",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "350--369",
year = "1988",
MRclass = "76-08 (76D05)",
MRnumber = "972518 (90a:76007)",
MRreviewer = "Michel Cotsaftis",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Dryja:1988:MDD,
author = "Maksymilian Dryja",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "A Method of Domain Decomposition for $3$-{D} Finite
Element Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "43--61",
year = "1988",
MRclass = "65N30 (65F10)",
MRnumber = "972511 (90b:65200)",
MRreviewer = "S. F. McCormick",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
xxtitle = "A method of domain decomposition for three-dimensional
finite element elliptic problems",
}
@TechReport{Ewing:1988:LRT,
author = "R. E. Ewing and R. D. Lazarov and P. S. Vassilevski",
title = "Local refinement techniques for elliptic problems on
cell-centered grids",
institution = "University of Wyoming",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Funaro:1988:DDM,
author = "Daniele Funaro",
title = "Domain decomposition methods for pseudospectral
approximations. {I}. {Second} order equations in one
dimension",
journal = j-NUM-MATH,
volume = "52",
number = "3",
pages = "329--344",
month = mar,
year = "1988",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01398883",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65L10",
MRnumber = "929576 (89b:65186)",
MRreviewer = "Erich Bohl",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "C1320 (Stability); C4130 (Interpolation and function
approximation)",
corpsource = "Pavia Univ., Italy",
fjournal = "Numerische Mathematik",
keywords = "boundary-value problems; Chebyshev approximation;
Chebyshev nodes; convergence; convergence of numerical
methods; domain decomposition methods; patching
conditions; pseudo spectral approximations; second
order boundary value problems; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Funaro:1988:IPI,
author = "Daniele Funaro and Alfio Quarteroni and Paola
Zanolli",
title = "An iterative procedure with interface relaxation for
domain decomposition methods",
journal = j-SIAM-J-NUMER-ANAL,
volume = "25",
number = "6",
pages = "1213--1236",
month = dec,
year = "1988",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0725069",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N30 (65F10)",
MRnumber = "972451 (90a:65236)",
MRreviewer = "I. Norman Katz",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database; MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@TechReport{Gallopoulos:1988:BID,
author = "E. J. (Efstratios J.) Gallopoulos and Daeshik Lee",
title = "Boundary integral domain decomposition on hierarchical
memory multiprocessors",
type = "Technical Report",
number = "CSRD 752",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "488--499",
year = "1988",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
annote = "Supported in part by the National Science Foundation.
Supported in part by the U.S. Department of Energy.
Supported in part by the Air Force Office of Scientific
Research.",
keywords = "Boundary element methods; Decomposition method;
Harmonic functions; Multiprocessors",
}
@Article{Gianni:1988:GBP,
author = "Patrizia Gianni and Barry Trager and Gail Zacharias",
title = "{Gr{\"o}bner bases and primary decomposition of
polynomial ideals}",
journal = j-J-SYMBOLIC-COMP,
volume = "6",
number = "2--3",
pages = "149--168 (or 149--167??)",
month = oct # "--" # dec,
year = "1988",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
MRclass = "68Q40 (13-04 13A17)",
MRnumber = "90f:68091",
MRreviewer = "Daniel Lazard",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib",
note = "Computational aspects of commutative algebra.",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C4130 (Interpolation and function
approximation); C6130 (Data handling techniques)",
corpsource = "Pisa Univ., Italy",
keywords = "polynomials; symbol manipulation; Gr{\"o}bner bases;
primary decomposition; polynomial ideals; algorithm;
primary decomposition; factorially closed; algorithmic
principal ideal domain; constructive PID; primary
decomposition",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Glowinski:1988:DDMb,
author = "Roland Glowinski and Mary Fanett Wheeler",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "Domain Decomposition and Mixed Finite Element Methods
for Elliptic Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "144--172",
year = "1988",
MRclass = "65N30",
MRnumber = "972516 (90a:65237)",
MRreviewer = "K. Najzar",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Gropp:1988:CPI,
author = "William D. Gropp and David E. Keyes",
title = "Complexity of parallel implementation of domain
decomposition techniques for elliptic partial
differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "9",
number = "2",
pages = "312--326",
month = mar,
year = "1988",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0909020",
ISSN = "0196-5204",
MRclass = "65N20 (65F10 65W05 68Q25)",
MRnumber = "930048 (88m:65167)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4240 (Programming
and algorithm theory); C5220 (Computer architecture)",
corpsource = "Res. Center for Sci. Comput., Yale Univ., New Haven,
CT, USA",
fjournal = "Society for Industrial and Applied Mathematics.
Journal on Scientific and Statistical Computing",
keywords = "communication startups; complexity; computational
complexity; domain decomposition; elliptic partial
differential equations; message-passing parallel
computers; parallel algorithms; parallel architectures;
partial differential equations; preconditioned
conjugate gradient",
treatment = "T Theoretical or Mathematical",
}
@Article{Hagstrom:1988:NED,
author = "Thomas Hagstrom and R. P. Tewarson and Aron
Jazcilevich",
title = "Numerical experiments on a domain decomposition
algorithm for nonlinear elliptic boundary value
problems",
journal = j-APPL-MATH-LETT,
volume = "1",
number = "3",
pages = "299--302",
year = "1988",
CODEN = "AMLEEL",
DOI = "https://doi.org/10.1016/0893-9659(88)90097-3",
ISSN = "0893-9659 (print), 1873-5452 (electronic)",
MRclass = "65N99",
MRnumber = "963704",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics Letters. An International Journal
of Rapid Publication",
}
@InProceedings{Hughes:1988:FVE,
author = "Thomas R. Hughes and Robert M. Ferencz",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "First International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Fully Vectorized {EBE} Preconditioners for Nonlinear
Solid Mechanics: Applications to Large-Scale
Three-Dimensional Continuum, Shell and Contact/Impact
Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1988",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Khoromskii:1988:KZMa,
author = "B. N. Khoromski{\u\i}",
title = "Kraevye zadachi magnitostatiki v nepolno-nelineinoi
postanovke i metody ikh resheniya. {Issledovanie}
nelineinoi problemy",
publisher = "Joint Inst. Nuclear Res.",
address = "Dubna, USSR",
pages = "23",
year = "1988",
MRclass = "65P05 (35Q20 78-04 78A30)",
MRnumber = "985755 (90a:65261)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "With an English summary",
series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
Yadernykh Issledovani\u\i. Dubna} [Communications of
the Joint Institute for Nuclear Research. Dubna],
R11-88-480",
acknowledgement = ack-nhfb,
}
@Book{Khoromskii:1988:KZMb,
author = "B. N. Khoromski{\u\i}",
title = "Kraevye zadachi magnitostatiki v nepolno-nelineinoi
postanovke i metody ikh resheniya. {Postroenie}
pereobuslavlivatelei",
publisher = "Joint Inst. Nuclear Res.",
address = "Dubna, USSR",
pages = "32",
year = "1988",
MRclass = "65P05 (35Q20 78-04 78A30)",
MRnumber = "985756 (90a:65262)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "With an English summary",
series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
Yadernykh Issledovani\u\i. Dubna} [Communications of
the Joint Institute for Nuclear Research. Dubna],
R11-88-784",
acknowledgement = ack-nhfb,
}
@Book{Knyazev:1988:MIM,
author = "A. V. Knyazev and A. L. Skorokhodov",
title = "Modifitsirovannye iteratsionnye metody v
podprostranstve dlya resheniya sistem uravnenii so
znakoneopredelennymi matritsami i spektralnykh zadach",
volume = "205",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "48",
year = "1988",
MRclass = "65F10 (65F15)",
MRnumber = "994806 (91a:65083)",
MRreviewer = "Zden{\v{e}}k Dost{\'a}l",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@Article{Kuznetsov:1988:DDM,
author = "Yu. A. Kuznetsov and A. V. Lapin",
title = "Domain decomposition method to realize an implicit
difference scheme for the one-phase {Stefan} problem",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "3",
number = "6",
pages = "487--504",
year = "1988",
ISSN = "0169-2895",
MRclass = "65N99 (65N50)",
MRnumber = "979716 (90h:65202)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Translated from the Russian",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@InCollection{Kuznetsov:1988:MMD,
author = "Yu. A. Kuznetsov",
booktitle = "{Numerical analysis and mathematical modeling
(Russian)}",
title = "Multilevel methods for domain decomposition",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "109--126",
year = "1988",
MRclass = "65N55",
MRnumber = "1063295 (91h:65192)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Kvarteroni:1988:DDM,
author = "Alfio Kvarteroni",
booktitle = "{Numerical analysis and mathematical modeling
(Russian)}",
title = "A domain decomposition method for the numerical
solution of partial differential equations",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "79--92",
year = "1988",
MRclass = "65N55",
MRnumber = "1063292 (91e:65139)",
MRreviewer = "G. Siganevich",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Lai:1988:FEU,
author = "C. H. Lai and H. M. Liddell",
title = "Finite elements using long vectors of the {DAP}",
journal = j-PARALLEL-COMPUTING,
volume = "8",
number = "1--3",
pages = "351--361",
month = oct,
year = "1988",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Mon Apr 14 11:08:33 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra); C4170 (Differential
equations)",
conflocation = "Liverpool, UK; 25-28 Aug. 1987",
conftitle = "International Conference on Vector and Parallel
Processors in Computational Science III",
corpsource = "Dept. of Comput. Sci. and Stat., Queen Mary Coll.,
London Univ., UK",
keywords = "1-step point Jacobi preconditioner; boundary
conditions; conjugate gradient method; domain
decomposition; equations; finite element analysis;
finite element equations; finite element method; global
matrix assembly; iteration; iterative methods; Jacobi
preconditioner; long vector mode; long vectors; m-step
multi-colour preconditioner; m-step point; matrix
algebra; methods; multinodes; parallel; partial
differential; partial differential equations; Perq
scientific workstation; sliced mapping technique",
sponsororg = "US Army Eur. Res. Office",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Lazarov:1988:SEP,
author = "R. D. Lazarov and P. S. Vassilevski and S. D.
Margenov",
booktitle = "{Supercomputing (Athens, 1987)}",
title = "Solving elliptic problems by the domain decomposition
method using preconditioning matrices derived by
multilevel splittings of the finite element matrix",
volume = "297",
publisher = pub-SV,
address = pub-SV:adr,
pages = "826--835",
year = "1988",
MRclass = "65N30 (65W05)",
MRnumber = "936232 (89b:65270)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Comput. Sci.",
acknowledgement = ack-nhfb,
}
@InProceedings{Lions:1988:SAM,
author = "Pierre Louis Lions",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "On the {Schwarz} alternating method. {I}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "1--42",
year = "1988",
MRclass = "65N35 (35J05 35Q10)",
MRnumber = "972510 (90a:65248)",
MRreviewer = "N. Gass",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Lucier:1988:PEM,
author = "B. J. Lucier",
title = "Performance evaluation for multiprocessors programmed
using monitors",
journal = j-SIGMETRICS,
volume = "16",
number = "1",
pages = "22--29",
month = may,
year = "1988",
CODEN = "????",
DOI = "https://doi.org/10.1145/55595.55598",
ISSN = "0163-5999 (print), 1557-9484 (electronic)",
ISSN-L = "0163-5999",
bibdate = "Thu Jun 26 11:05:57 MDT 2008",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/sigmetrics.bib",
abstract = "We present a classification of synchronization delays
inherent in multiprocessor systems programmed using the
monitor paradigm. This characterization is useful in
relating performance of such systems to algorithmic
parameters in subproblems such as domain decomposition.
We apply this approach to a parallel, adaptive grid
code for solving the equations of one-dimensional gas
dynamics implemented on shared memory multiprocessors
such as the Encore Multimax.",
acknowledgement = ack-nhfb,
}
@TechReport{Marinescu:1988:NAL,
author = "D. C. Marinescu and John R. Rice",
title = "Non-Algorithmic Load Imbalance Effects for Domain
Decomposition Methods on a Hypercube",
type = "Technical report",
number = "TR-832",
institution = inst-CS-PURDUE,
address = inst-CS-PURDUE:adr,
pages = "25",
month = dec,
year = "1988",
bibdate = "Sun Dec 30 13:46:29 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib",
URL = "http://www.cs.purdue.edu/research/technical_reports/1988/TR%2088-832.pdf",
acknowledgement = ack-nhfb,
}
@InCollection{Marini:1988:IPD,
author = "L. D. Marini and A. Quarteroni",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "An iterative procedure for domain decomposition
methods: a finite element approach",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "129--143",
year = "1988",
MRclass = "65N30",
MRnumber = "972515 (90d:65196)",
MRreviewer = "Wolfgang Moldenhauer",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Matsokin:1988:NST,
author = "A. M. Matsokin and S. V. Nepomnyaschikh",
title = "Norms in the space of traces of mesh functions",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "3",
number = "3",
pages = "199--216",
year = "1988",
ISSN = "0169-2895",
MRclass = "65N50 (65M50)",
MRnumber = "948943 (89i:65128)",
MRreviewer = "Chris Arney",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Article{Meurant:1988:DDM,
author = "G. Meurant",
title = "Domain Decomposition Methods for Partial Differential
Equations on Parallel Computers",
journal = j-IJSA,
volume = "2",
number = "4",
pages = "5--12",
month = "Winter",
year = "1988",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibdate = "Tue Feb 18 10:40:00 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover
library database",
acknowledgement = ack-nhfb,
affiliation = "CEA, Centre d'Etudes de Limeil-Valenton, Villeneuve,
St Georges, France",
}
@Article{Meurant:1988:DDP,
author = "G. Meurant",
title = "Domain decomposition preconditioners for the conjugate
gradient method",
journal = j-CALCOLO,
volume = "25",
number = "1--2",
pages = "103--119",
year = "1988",
CODEN = "CDABAE",
DOI = "https://doi.org/10.1007/BF02575749",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
MRclass = "65N55 (65Y05)",
MRnumber = "1053749 (91f:65193)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory
of Computation",
}
@InCollection{Mierendorff:1988:PMM,
author = "Hermann Mierendorff",
booktitle = "{Multigrid methods (Copper Mountain, CO, 1987)}",
title = "Parallelization of multigrid methods with local
refinements for a class of nonshared memory systems",
volume = "110",
publisher = "Dekker",
address = "New York, NY, USA",
pages = "449--465",
year = "1988",
MRclass = "65W05 (65N50)",
MRnumber = "959352 (89i:65145)",
MRreviewer = "Chris Arney",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Pure and Appl. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Nicolaides:1988:IME,
author = "R. A. Nicolaides and Shenaz Choudhury",
booktitle = "{Finite elements (Hampton, VA, 1986)}",
title = "Iterative methods for elliptic finite element
equations on general meshes",
publisher = pub-SV,
address = pub-SV:adr,
pages = "94--123",
year = "1988",
MRclass = "65N30",
MRnumber = "964482 (90c:65136)",
MRreviewer = "Chuan Miao Chen",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "ICASE/NASA LaRC Ser.",
acknowledgement = ack-nhfb,
}
@Article{Overton:1988:MME,
author = "Michael L. Overton",
title = "On minimizing the maximum eigenvalue of a symmetric
matrix",
journal = j-SIAM-J-MAT-ANAL-APPL,
volume = "9",
number = "2",
pages = "256--268",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Papamichael:1988:DDM,
author = "N. Papamichael and S. N. Stylianopoulos",
title = "On a domain decomposition method for the computation
of conformal modules",
journal = j-APPL-MATH-LETT,
volume = "1",
number = "3",
pages = "277--280",
year = "1988",
CODEN = "AMLEEL",
DOI = "https://doi.org/10.1016/0893-9659(88)90092-4",
ISSN = "0893-9659 (print), 1873-5452 (electronic)",
MRclass = "30C60 (30C30 65E05)",
MRnumber = "963699",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics Letters. An International Journal
of Rapid Publication",
}
@InProceedings{Pasciak:1988:DDPa,
author = "Joseph E. Pasciak",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "Domain Decomposition Preconditioners for Elliptic
Problems in Two and Three Dimensions: {First}
Approach",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "62--72",
year = "1988",
MRclass = "65N99",
MRnumber = "972512 (90b:65227)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Pasciak:1988:DDPb,
author = "Joseph E. Pasciak",
booktitle = "{Numerical algorithms for modern parallel computer
architectures (Minneapolis, MN, 1986--87)}",
title = "Domain decomposition preconditioners for elliptic
problems in two and three dimensions",
volume = "13",
publisher = pub-SV,
address = pub-SV:adr,
pages = "163--171",
year = "1988",
MRclass = "65N50 (65W05)",
MRnumber = "950708",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "IMA Vol. Math. Appl.",
acknowledgement = ack-nhfb,
}
@InCollection{Pierce:1988:TLP,
author = "D. J. Pierce and R. J. Plemmons",
booktitle = "{Linear algebra in signals, systems, and control
(Boston, MA, 1986)}",
title = "A two-level preconditioned conjugate gradient scheme",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "170--185",
year = "1988",
MRclass = "65F35",
MRnumber = "969792 (90c:65061)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Quarteroni:1988:DDP,
author = "Alfio Quarteroni and Giovanni Sacchi Landriani",
title = "Domain decomposition preconditioners for the spectral
collocation method",
journal = j-J-SCI-COMPUT,
volume = "3",
number = "1",
pages = "45--76",
year = "1988",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/BF01066482",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "65N35",
MRnumber = "976320 (90d:65207)",
MRreviewer = "Bruce A. Finlayson",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
}
@Article{Quarteroni:1988:PAC,
author = "A. Quarteroni and G. Sacchi Landriani",
title = "Parallel algorithms for the capacitance matrix method
in domain decompositions",
journal = j-CALCOLO,
volume = "25",
number = "1--2",
pages = "75--102",
year = "1988",
CODEN = "CDABAE",
DOI = "https://doi.org/10.1007/BF02575748",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
MRclass = "65N55",
MRnumber = "1053748 (92c:65149)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory
of Computation",
}
@Article{Raju:1988:FFD,
author = "K. V. S. V. N. Raju and Arun K. Majumdar",
title = "Fuzzy Functional Dependencies and Lossless Join
Decomposition of Fuzzy Relational Database Systems",
journal = j-TODS,
volume = "13",
number = "2",
pages = "129--166",
month = jun,
year = "1988",
CODEN = "ATDSD3",
ISSN = "0362-5915 (print), 1557-4644 (electronic)",
bibdate = "Sat Apr 14 10:34:48 MDT 2001",
bibsource = "Compendex database; Database/Graefe.bib;
Database/Wiederhold.bib; http://www.acm.org/pubs/toc/;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/tods.bib",
URL = "http://www.acm.org/pubs/articles/journals/tods/1988-13-2/p129-raju/p129-raju.pdf;
http://www.acm.org/pubs/citations/journals/tods/1988-13-2/p129-raju/;
http://www.acm.org/pubs/toc/Abstracts/tods/42344.html",
abstract = "This paper deals with the application of fuzzy logic
in a relational database environment with the objective
of capturing more meaning of the data. It is shown that
with suitable interpretations for the fuzzy membership
functions, a fuzzy relational data model can be used to
represent ambiguities in data values as well as
impreciseness in the association among them. Relational
operators for fuzzy relations have been studied, and
applicability of fuzzy logic in capturing integrity
constraints has been investigated. By introducing a
fuzzy resemblance measure EQUAL for comparing domain
values, the definition of classical functional
dependency has been generalized to fuzzy functional
dependency (ffd). The implication problem of ffds has
been examined and a set of sound and complete inference
axioms has been proposed. Next, the problem of lossless
join decomposition of fuzzy relations for a given set
of fuzzy functional dependencies is investigated. It is
proved that with a suitable restriction on EQUAL, the
design theory of a classical relational database with
functional dependencies can be extended to fuzzy
relations satisfying fuzzy functional dependencies.",
acknowledgement = ack-nhfb,
affiliation = "Ahdhra Univ, Visakhapatnam, India",
affiliationaddress = "Ahdhra Univ, Visakhapatnam, India",
annote = "Extend Armstrong's axioms to fuzzy domains. The
concept works out theoretically, but may not
necessarily agree with the intuition of the database
user. This paper is highly theoretical and notationally
intimidating. Yet worth to peruse.",
classification = "723; 921",
generalterms = "Design; Theory",
keywords = "database systems; fuzzy functional dependencies; fuzzy
relational database systems, design; lossless join
decomposition; mathematical techniques --- fuzzy sets;
relational; theory",
subject = "{\bf H.2.1}: Information Systems, DATABASE MANAGEMENT,
Logical Design. {\bf E.5}: Data, FILES. {\bf I.2.3}:
Computing Methodologies, ARTIFICIAL INTELLIGENCE,
Deduction and Theorem Proving, Uncertainty, ``fuzzy,''
and probabilistic reasoning.",
}
@TechReport{Scroggs:1988:SPP,
author = "Jeffrey Scott Scroggs",
title = "The solution of a parabolic partial differential
equation via domain decomposition: the synthesis of
asymptotic and numerical analysis",
type = "Technical Report",
number = "CSRD 791; UILU-ENG-88-8005",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "ix + 146",
year = "1988",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
annote = "Supported in part by the National Science Foundation.
Supported in part by the U.S. Department of Energy.
Supported in part by the Air Force Office of Scientific
Research.",
keywords = "Differential equations, Partial; Parallel programming
(Computer science)",
}
@InCollection{Temam:1988:SSF,
author = "Roger Temam",
booktitle = "{Finite elements (Hampton, VA, 1986)}",
title = "Survey of the status of finite element methods for
partial differential equations",
publisher = pub-SV,
address = pub-SV:adr,
pages = "1--33",
year = "1988",
MRclass = "65-02 (65M60 65N30)",
MRnumber = "964478 (89m:65003)",
MRreviewer = "I. Christie",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "ICASE/NASA LaRC Ser.",
acknowledgement = ack-nhfb,
}
@InProceedings{Tezduyar:1988:EEI,
author = "T. E. Tezduyar and J. Liou",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "First International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Element-by-element and implicit-explicit finite
element formulations for computational fluid dynamics",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1988",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Wait:1988:FEA,
author = "R. Wait and S. E. Audish and C. J. Willis",
booktitle = "{Numerical mathematics, Singapore 1988}",
title = "Finite element analysis on a highly parallel
multiprocessor architecture",
volume = "86",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "507--518",
year = "1988",
MRclass = "65W05",
MRnumber = "1022980 (90i:65263)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Internat. Schriftenreihe Numer. Math.",
acknowledgement = ack-nhfb,
}
@Article{Wait:1988:PPF,
author = "R. Wait",
title = "Partitioning and preconditioning of finite element
matrices on the {DAP}",
journal = j-PARALLEL-COMPUTING,
volume = "8",
number = "1--3",
pages = "275--284",
month = oct,
year = "1988",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Mon Apr 14 11:08:33 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
conflocation = "Liverpool, UK; 25-28 Aug. 1987",
conftitle = "International Conference on Vector and Parallel
Processors in Computational Science III",
corpsource = "Dept. of Stat. and Comput. Math., Liverpool Univ.,
UK",
keywords = "architectures; array; coarse grid smoothing; conjugate
gradient; DAP; domain decomposition; finite element
analysis; finite element matrices; iteration; linear
finite element equations; local memory; matrix algebra;
one-way dissection; parallel SIMD; partitioning;
preconditioning; processor; relaxation",
sponsororg = "US Army Eur. Res. Office",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Widlund:1988:CSD,
author = "Olof B. Widlund",
title = "A Comparison of Some Domain Decomposition and
Iterative Refinement Algorithms for Elliptic Finite
Element Problems",
number = "BSC 88/15",
institution = "IBM Bergen Scientific Centre",
address = "Thorm{\o}hlensgaten 55, N-5006 Bergen, Norway",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Widlund:1988:ISMa,
author = "Olof B. Widlund",
booktitle = "Computational Processes and Systems, 6",
title = "Iterative Substructuring Methods: {The} General
Elliptic Case",
publisher = pub-NAUKA,
address = pub-NAUKA:adr,
year = "1988",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Proceedings of Modern Problems in Numerical Analysis,
a conference held in Moscow, USSR, September 1986. In
Russian, also available from the author, in English.",
}
@InProceedings{Widlund:1988:ISMb,
author = "Olof B. Widlund",
editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
Meurant and Jacques P{\'e}riaux",
booktitle = "{First International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Paris,
1987)}",
title = "Iterative Substructuring Methods: {Algorithms} and
Theory for Elliptic Problems in the Plane",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "113--128",
year = "1988",
MRclass = "65N30",
MRnumber = "972514 (90c:65138)",
MRreviewer = "Mari{\'a}n Vajter{\v{s}}ic",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Aboulaich:1989:IMS,
author = "R. Aboula{\"{\i}}ch and M. Fortin",
booktitle = "{Proceedings of the Eighth International Conference on
Computing Methods in Applied Sciences and Engineering
(Versailles, 1987)}",
title = "Iterative methods for the solution of {Stokes}
equations",
volume = "75(1--3)",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "317--324",
year = "1989",
CODEN = "CMMECC",
DOI = "https://doi.org/10.1016/0045-7825(89)90032-7",
ISSN = "0045-7825, 0374-2830",
MRclass = "76M10 (76D05)",
MRnumber = "1035754 (91a:76060)",
MRreviewer = "Timothy Nigel Phillips",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = j-COMPUT-METH-APPL-MECH-ENG,
acknowledgement = ack-nhfb,
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@InCollection{Agoshkov:1989:DDM,
author = "V. I. Agoshkov",
booktitle = "{Conjugate equations and perturbation algorithms in
problems of mathematical physics (Russian)}",
title = "Domain decomposition methods in problems of
mathematical physics",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "31--90",
year = "1989",
MRclass = "65M55 (65N55)",
MRnumber = "1704500",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Book{Agoshkov:1989:SUA,
editor = "V. I. Agoshkov and V. P. Shutyaev",
title = "Sopryazhennye uravneniya i algoritmy vozmushchenii v
zadachakh matematicheskoi fiziki",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "206",
year = "1989",
MRclass = "00B15 (35-06 65-06)",
MRnumber = "1704498 (2000c:00022)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Book{Anonymous:1989:MS,
editor = "Anonymous",
title = "Mathematical sciences",
volume = "32",
publisher = "Academia Sinica Institute of Mathematical Sciences",
address = "Chengdu, PRC",
pages = "19",
year = "1989",
MRclass = "65-06",
MRnumber = "1060956 (90m:65007)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Shuli Kexue [Mathematical Sciences. Research Reports
IMS]",
acknowledgement = ack-nhfb,
}
@Article{Babuska:1989:PSS,
author = "Ivo Babu{\v{s}}ka and M. Griebel and J.
Pitk{\"{a}}ranta",
title = "The Problem of Selecting the Shape Functions for a
$p$-type Finite Element",
journal = j-INT-J-NUM-METH-ENG,
volume = "28",
pages = "1891--1908",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Bernardi:1989:ARS,
author = "Christine Bernardi and Yvon Maday",
title = "Approximation results for spectral methods with domain
decomposition",
journal = j-APPL-NUM-MATH,
volume = "6",
number = "1--2",
pages = "33--52",
month = dec,
year = "1989",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(89)90053-6",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N35 (65N55)",
MRnumber = "1045017 (91e:65135)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
note = "Spectral multi-domain methods (Paris, 1988).",
acknowledgement = ack-nhfb,
affiliation = "CNRS and Univ Pierre et Marie Curie",
affiliationaddress = "Paris, Fr",
classification = "921",
conference = "12th International Association for Mathematics and
Computation in Simulation (IMACS) World Congress on
Scientific Computation",
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journalabr = "Appl Numer Math",
keywords = "Domain Decomposition; Finite Element Method;
Mathematical Techniques--Approximation Theory;
Polynomial Approximation; Projection Operators;
Spectral Methods; Spectrum Analysis; Weighted Sobolev
Spaces",
meetingaddress = "Paris, Fr",
meetingdate = "Jul 18--22 1988",
meetingdate2 = "07/18--22/88",
}
@TechReport{Berry:1989:ADC,
author = "Michael Berry",
title = "Algorithmic design on the {CEDAR} multiprocessor",
type = "Technical Report",
number = "CSRD 851",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "33",
month = feb,
year = "1989",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "The CEDAR system under development in the Center for
Supercomputing Research and Development (CSRD) at the
University of Illinois at Urbana-Champaign is a
clustered shared-memory multiprocessor system which can
be used to support parallel processing for a wide range
of numerical and non-numerical applications. In this
paper. we survey selected algorithms and applications
for CEDAR which are under investigation by members of
the CSRD Applications Group. Topics include the design
of sparse basic linear algebra kernels, the Conjugate
Gradient method for linear systems of equations, direct
block tridiagonal linear system solvers, a domain
decomposition technique for structural mechanics,
boundary integral domain decomposition for partial
differential equations, parallel algorithms for circuit
simulation, and parallelization of a computer graphics
technique (ray tracing). Performance results on the
2-cluster CEDAR system, Alliant FX/8, and Cray X-MP/48
are presented.",
acknowledgement = ack-nhfb,
annote = "To appear in Proc. of Fourth Int'l Conf. on
Supercomputing and Third World Computer Exhibition,
Santa Clara, CA, April 1989. Supported in part by
National Science Foundation. Supported in part by U.S.
Department of Energy.",
keywords = "Algorithms; Multiprocessors",
}
@InProceedings{Bjorstad:1989:MAS,
author = "Petter E. Bj{\o}rstad",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "Multiplicative and Additive {Schwarz} Methods:
Convergence in the 2 domain case",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Bjorstad:1989:OON,
author = "Petter E. Bj{\o}rstad and Olof B. Widlund",
title = "To Overlap or Not to Overlap: {A} Note on a Domain
Decomposition Method for Elliptic Problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "10",
number = "5",
pages = "1053--1061",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Boergers:1989:DDL,
author = "Christoph B{\"o}rgers and Olof B. Widlund",
title = "A Domain Decomposition {Laplace} Solver for Internal
Combustion Modeling",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "10",
number = "4",
pages = "211--226",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Boergers:1989:NDD,
author = "Christoph B{\"o}rgers",
title = "The {Neumann--Dirichlet} domain decomposition method
with inexact solvers on the subdomains",
journal = j-NUM-MATH,
volume = "55",
pages = "123--136",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Borgers:1989:DDL,
author = "Christoph B{\"o}rgers and Olof B. Widlund",
title = "A domain decomposition {Laplace} solver for internal
combustion engine modeling",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "10",
number = "2",
pages = "211--226",
month = mar,
year = "1989",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20 (65F10)",
MRnumber = "90f:65192",
MRreviewer = "M. M. Sussman",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "C7440 (Civil and mechanical engineering)",
corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA",
keywords = "algorithms; combustion engine modeling; convergence
analysis; convergence of numerical methods; domain
decomposition; elliptic problems; internal combustion
engine modeling; internal combustion engines; Laplace
solver; Laplace transforms; mechanical engineering
computing; multigrid cycles; standard software",
treatment = "T Theoretical or Mathematical",
}
@Article{Borgers:1989:NDD,
author = "Christoph B{\"o}rgers",
title = "The {Neumann--Dirichlet} domain decomposition method
with inexact solvers on the subdomains",
journal = j-NUM-MATH,
volume = "55",
number = "2",
pages = "123--136",
month = may,
year = "1989",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N20 (65F10)",
MRnumber = "90f:65191",
MRreviewer = "G. Maess",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA",
keywords = "boundary-value problems; inexact solvers; iterative
method; iterative methods; linear elliptic boundary
value problems; Neumann--Dirichlet domain decomposition
method; subdomains",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Bourgat:1989:VFA,
author = "Jean-Fran\c{c}ois Bourgat and Roland Glowinski and
Patrick Le Tallec and Marina Vidrascu",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "Variational Formulation and Algorithm for Trace
Operator in Domain Decomposition Calculations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Bramble:1989:CPE,
author = "James H. Bramble and Joseph E. Pasciak and Alfred H.
Schatz",
title = "The construction of preconditioners for elliptic
problems by substructuring. {IV}",
journal = j-MATH-COMPUT,
volume = "53",
number = "187",
pages = "1--24",
month = jul,
year = "1989",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N30 (65F35)",
MRnumber = "89m:65098",
MRreviewer = "Charles I. Goldstein",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4180 (Integral
equations)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "algebraic system of; boundary-value problems;
condition number; discretization; domain decomposition;
elliptic boundary value problems; equations; parallel
computing architectures; preconditioned system;
preconditioners; substructuring; three-dimensional
Euclidean space",
treatment = "T Theoretical or Mathematical",
}
@Article{Brezzi:1989:PDR,
author = "Franco Brezzi and Craig C. Douglas and L. Donatella
Marini",
title = "A parallel domain reduction method",
journal = j-NUMER-METHODS-PARTIAL-DIFFER-EQU,
volume = "5",
number = "3",
pages = "195--202",
year = "1989",
CODEN = "NMPDEB",
DOI = "https://doi.org/10.1002/num.1690050304",
ISSN = "0749-159X",
MRclass = "65N55",
MRnumber = "1107884 (92a:65324)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Methods for Partial Differential Equations.
An International Journal",
}
@InCollection{Buleev:1989:ISD,
author = "S. N. Buleev and V. I. Agoshkov",
booktitle = "{Conjugate equations and perturbation algorithms in
problems of mathematical physics (Russian)}",
title = "Investigation of some domain decomposition
algorithms",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "91--111",
year = "1989",
MRclass = "65N06 (65N38)",
MRnumber = "1704501",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@PhdThesis{Cai:1989:SDD,
author = "Xiao-Chuan Cai",
title = "Some Domain Decomposition Algorithms for
Nonselfadjoint Elliptic and Parabolic Partial
Differential Equations",
school = "Courant Institute of Mathematical Sciences",
month = sep,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Tech. Rep. 461, Department of Computer Science,
Courant Institute",
}
@InCollection{Chan:1989:DDA,
author = "Tony F. Chan",
booktitle = "{Vector and parallel computing (Troms\o, 1988)}",
title = "Domain decomposition algorithms and computational
fluid dynamics",
publisher = "Horwood",
address = "Chichester, UK",
pages = "65--82",
year = "1989",
MRclass = "65N55 (76M99)",
MRnumber = "1101638",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Ellis Horwood Ser. Comput. Appl.",
acknowledgement = ack-nhfb,
}
@TechReport{Chan:1989:IPD,
author = "Tony F. Chan and David F. Keyes",
title = "Interface Preconditioning for Domain-Decomposed
Convection-Diffusion Operators",
number = "CAM 89-28",
institution = "Department of Mathematics, UCLA",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Chan:1989:SCD,
author = "Tony F. Chan and Danny Goovaerts",
title = "{Schur} complement domain decomposition algorithms for
spectral methods",
journal = j-APPL-NUM-MATH,
volume = "6",
number = "1--2",
pages = "53--64",
month = dec,
year = "1989",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(89)90054-8",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N99",
MRnumber = "1045018 (91b:65137)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
note = "Spectral multi-domain methods (Paris, 1988).",
acknowledgement = ack-nhfb,
affiliation = "Univ of California",
affiliationaddress = "Los Angeles, CA, USA",
classification = "921",
conference = "12th International Association for Mathematics and
Computation in Simulation (IMACS) World Congress on
Scientific Computation",
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journalabr = "Appl Numer Math",
keywords = "Domain Decomposition; Mathematical
Techniques--Differential Equations; Parallel
Algorithms; Partial Differential Equations;
Preconditioned Conjugate Gradient; Spectral Element
Method; Spectral Methods; Spectrum Analysis",
meetingaddress = "Paris, Fr",
meetingdate = "Jul 18--22 1988",
meetingdate2 = "07/18--22/88",
}
@TechReport{Chen:1989:DDM,
author = "Hsin-Chu Chen and Ahmed Sameh",
title = "A domain decomposition method for {3D} elasticity
problems",
type = "Technical Report",
number = "CSRD 890",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "18",
month = sep,
year = "1989",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "The symmetric-and-antisymmetric (SAS) domain
decomposition method is a special matrix decomposition
scheme for certain classes of discretized physical
problems. This scheme decomposes the original problem
into independent or loosely coupled subproblems by
taking advantage of symmetry or partial symmetry. This
is achieved by exploiting important properties
possessed by two special classes of matrices A and B, A
and B [are elements of] C[superscript nxn], which
satisfy the relations A = PAP and B = - PBP where P is
some symmetric signed permutation matrix. In this paper
we present the application of the SAS decomposition
method to 3D isotropic elasticity problems using the
(preconditioned) conjugate gradient algorithm. The
method is first applied to problems with symmetric
domains and boundary conditions. We then extend its
application to general asymmetric problems by choosing
the preconditioner to be the stiffness matrix of some
symmetrically discretized substructure. This method is
not only superior to classical schemes on sequential
computers, but also lends itself to efficient
implementation on multiprocessors with several levels
of parallelism.",
acknowledgement = ack-nhfb,
annote = "Supported in part by the U.S. Department of Energy.",
keywords = "Decomposition method; Symmetric domains",
}
@InCollection{Demaret:1989:NSS,
author = "P. Demaret and M. Deville and C. Schneidesch",
booktitle = "{Numerical and applied mathematics, Part II (Paris,
1988)}",
title = "{Navier--Stokes} solutions by spectral multi-domain
decomposition and finite element preconditioning:
application to thermal convection",
volume = "1",
publisher = "Baltzer",
address = "Basel, Switzerland",
pages = "725--727",
year = "1989",
MRclass = "65N99",
MRnumber = "1066079",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "IMACS Ann. Comput. Appl. Math.",
acknowledgement = ack-nhfb,
}
@Article{Demaret:1989:TCS,
author = "P. Demaret and M. O. Deville and C. Schneidesch",
title = "Thermal convection solutions by {Chebyshev}
pseudospectral multi-domain decomposition and finite
element preconditioning",
journal = j-APPL-NUM-MATH,
volume = "6",
number = "1--2",
pages = "107--121",
month = dec,
year = "1989",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(89)90057-3",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "76-08 (65N99 76R10)",
MRnumber = "1 045 021",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
note = "Spectral multi-domain methods (Paris, 1988).",
acknowledgement = ack-nhfb,
affiliation = "Univ Catholique de Louvain",
affiliationaddress = "Louvain, Belg",
classification = "641; 921",
conference = "12th International Association for Mathematics and
Computation in Simulation (IMACS) World Congress on
Scientific Computation",
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journalabr = "Appl Numer Math",
keywords = "Chebyshev Polynomials; Convection; Finite Element
Preconditioning; Galerkin Finite Element Technique;
Heat Transfer; Mathematical Techniques--Chebyshev
Approximation; Pseudospectral Multi-domain
Decomposition; Spectrum Analysis",
meetingaddress = "Paris, Fr",
meetingdate = "Jul 18--22 1988",
meetingdate2 = "07/18--22/88",
}
@InProceedings{Dong:1989:DPD,
author = "Guozhu Dong",
title = "On distributed processibility of datalog queries by
decomposing databases",
crossref = "Clifford:1989:PAS",
pages = "26--35",
year = "1989",
bibdate = "Wed Oct 25 12:40:13 MDT 2000",
bibsource = "http://www.acm.org/pubs/contents/proceedings/series/sigmod_pods/;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pods.bib",
URL = "http://www.acm.org/pubs/articles/proceedings/mod/67544/p26-dong/p26-dong.pdf;
http://www.acm.org/pubs/citations/proceedings/mod/67544/p26-dong/",
abstract = "We consider distributed or parallel processing of
datalog queries. We address this issue by decomposing
databases into a number of subdatabases such that the
computation of a program on a database can be achieved
by {\em unioning its independent evaluations\/} on the
subdatabases. More specifically, we identify two kinds
of distributed-processable programs according to the
properties of database decomposition. (i) A program is
{\em disjoint distributive\/} if it is distributed
processable over a decomposition consisting of
subdatabases with disjoint domains. A characterization
of such programs is given in terms of an easily
decidable syntactic property called {\em connectivity}.
(ii) A program is {\em bounded distributive\/} if it is
distributed processable over a decomposition consisting
of subdatabases with a fixed size. Three interesting
characterizations of such a program are presented, the
first by bounded recursion, the second by equivalence
to a 1-bounded-recursive program, and the third by
constant parallel complexity",
acknowledgement = ack-nhfb,
generalterms = "Algorithms; Design",
subject = "Mathematics of Computing --- Numerical Analysis ---
General (G.1.0): {\bf Parallel algorithms}; Software
--- Programming Techniques --- Concurrent Programming
(D.1.3); Information Systems --- Database Management
--- Systems (H.2.4): {\bf Distributed databases};
Information Systems --- Database Management --- Systems
(H.2.4): {\bf Query processing}; Information Systems
--- Database Management --- Systems (H.2.4): {\bf
Concurrency}",
}
@InProceedings{Dryja:1989:ASA,
author = "Maksymilian Dryja",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "An Additive {Schwarz} Algorithm for Two- and
Three-Dimensional Finite Element Elliptic Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Dryja:1989:OAI,
author = "Maksymilian Dryja and Olof B. Widlund",
booktitle = "Proceedings of the Fourth Copper Mountain Conference
on Multigrid Methods",
title = "On the Optimality of an Additive Iterative Refinement
Method",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "161--170",
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Dryja:1989:SDD,
author = "Maksymilian Dryja and Olof B. Widlund",
editor = "Linda Hayes and David Kincaid",
booktitle = "Iterative Methods for Large Linear Systems",
title = "Some Domain Decomposition Algorithms for Elliptic
Problems",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "273--291",
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Proceeding of the Conference on Iterative Methods for
Large Linear Systems held in Austin, Texas, October
19--21, 1988, to celebrate the sixty-fifth birthday of
David M. Young, Jr.",
}
@Article{Duff:1989:EOP,
author = "Iain S. Duff and G{\'e}rard A. Meurant",
title = "The effect of ordering on preconditioned conjugate
gradients",
journal = j-BIT,
volume = "29",
number = "4",
pages = "635--657",
year = "1989",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01932738",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65F35",
MRnumber = "1038122 (91d:65064)",
MRreviewer = "Cs. J. Heged{\H{u}}s",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
}
@InProceedings{Ewing:1989:DDT,
author = "Richard E. Ewing",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "Domain Decomposition Techniques for Efficient Adaptive
Local Grid Refinement",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Ewing:1989:PCG,
author = "Richard E. Ewing",
title = "Preconditioned conjugate gradient methods for
large-scale fluid flow applications",
journal = j-BIT,
volume = "29",
number = "4",
pages = "850--866",
year = "1989",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01932749",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65F10 (65N55 76M25)",
MRnumber = "1038133 (91d:65052)",
MRreviewer = "Cs. J. Heged{\H{u}}s",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
}
@Article{Gazdag:1989:CCS,
author = "J. Gazdag and H.-H. Wang",
title = "Concurrent computing by sequential staging of tasks",
journal = j-IBM-SYS-J,
volume = "28",
number = "4",
pages = "646--660",
year = "1989",
CODEN = "IBMSA7",
ISSN = "0018-8670",
bibdate = "Tue Mar 19 17:38:46 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/ibmsysj.bib",
abstract = "Described is a new approach to parallel formulation of
scientific problems on shared-memory multiprocessors
such as the IBM ES/3090 system. The class of problems
considered is characterized by repetitive operations
applied over the computational domain D. In each such
operation, some fields of interest are extrapolated or
advanced by an amount of Delta tau. The integration
variable tau may be time, distance, or iteration
sequence number, depending on the problem under
consideration. An extensively studied approach to
parallel formulation of such computational problems is
based on domain decomposition, which attempts to
partition the domain of integration into many pieces,
then construct the global solution from these local
solutions. Thus, domain decomposition methods are
confined to D alone at a single tau level. An inquiry
into the possibilities of formulating parallel tasks in
tau, or more significantly in the D* tau domain, opens
up new horizons and untapped opportunities. The aim of
this paper is to detail an approach to exploit this tau
domain parallelism that will be referred to as
sequential staging of tasks (SST). Concurrency is
realized by means of ordering the tasks sequentially
and executing them in a partially overlapped or
pipelined manner. The SST approach can yield remarkable
speedup for jobs requiring intensive paging I/O, even
when a single processor is available for executing
multiple tasks. Noteworthy features of the SST method
are demonstrated and highlighted by using results
obtained from computer experiments performed with a
numerical solution method of the Poisson equation and
migration of seismic reflection data.",
acknowledgement = ack-nhfb,
affiliation = "IBM Palo Alto Sci. Centre, CA, USA",
classification = "C5440 (Multiprocessor systems and techniques)",
keywords = "Computational domain; Concurrent computing; Domain
decomposition; IBM ES/3090 system; Integration
variable; Numerical solution method; Parallel tasks;
Partially overlapped tasks; Pipeline execution; Poisson
equation; Repetitive operations; Scientific problems;
Seismic reflection data; Sequential task staging;
Shared-memory multiprocessors; Speedup",
pubcountry = "USA",
thesaurus = "Parallel processing; Pipeline processing",
}
@Book{Golub:1989:MC,
author = "Gene H. Golub and Charles F. {Van Loan}",
title = "Matrix Computations",
volume = "3",
publisher = pub-JOHNS-HOPKINS,
address = pub-JOHNS-HOPKINS:adr,
edition = "Second",
pages = "xix + 642",
year = "1989",
ISBN = "0-8018-3772-3 (hardcover), 0-8018-3739-1 (paperback)",
ISBN-13 = "978-0-8018-3772-2 (hardcover), 978-0-8018-3739-5
(paperback)",
LCCN = "QA188 .G65 1989",
MRclass = "65Fxx (65-02)",
MRnumber = "90d:65055",
MRreviewer = "Perry Smith",
bibdate = "Mon Oct 26 07:31:01 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib;
http://www.math.utah.edu/pub/tex/bib/texbook2.bib",
price = "US\$14.50",
series = "Johns Hopkins Series in the Mathematical Sciences",
ZMnumber = "0733.65016",
abstract = "Thoroughly revised, updated, and expanded by more than
one third, this new edition of Golub and Van Loan's
landmark book in scientific computing provides the
vital mathematical background and algorithmic skills
required for the production of numerical software. New
chapters on high performance computing use matrix
multiplication to show how to organize a calculation
for vector processors as well as for computers with
shared or distributed memories. Also new are
discussions of parallel vector methods for linear
equations, least squares, and eigenvalue problems.",
acknowledgement = ack-nhfb,
author-dates = "Gene Howard Golub (February 29, 1932--November 16,
2007)",
keywords = "book; math; matrices --- data processing; matrices ---
informatique; na; nla",
libnote = "Not yet in my library.",
remark = "See review by G. W. Steward in Mathematics of
Computation, Vol. 56, No. 193 (Jan., 1991),
pp. 380--381.",
shorttableofcontents = "Preface to the Third Edition \\
Software \\
Selected References \\
Matrix Multiplication Problems / 1 \\
Matrix Analysis / 48 \\
General Linear Systems / 87 \\
Special Linear Systems / 133 \\
Orthogonalization and Least Squares / 206 \\
Parallel Matrix Computations / 275 \\
The Unsymmetric Eigenvalue Problem / 308 \\
The Symmetric Eigenvalue Problem / 391 \\
Lanczos Methods / 470 \\
Iterative Methods for Linear Systems / 508 \\
Functions of Matrices / 555 \\
Special Topics / 579 \\
Bibliography / 637 \\
Index / 687",
tableofcontents = "Preface to the First Edition / xi \\
Preface to the Second Edition / xv \\
Using the Book / xvii \\
1: Matrix Multiplication Problems / 1 \\
1.1 Basic Algorithms and Notations / 2 \\
1.2 Exploiting Structure / 16 \\
1.3 Block Matrices and Algorithms / 25 \\
1.4 Aspects of Vector Pipeline Computing / 35 \\
2: Matrix Analysis / 49 \\
2.1 Basic Ideas from Linear Algebra / 49 \\
2.2 Vector Norms / 53 \\
2.3 Matrix Norms / 55 \\
2.4 Finite Precision Matrix Computations / 60 \\
2.5 Orthogonality and the SVD / 70 \\
2.6 Projections and the CS Decomposition / 75 \\
2.7 The Sensitivity of Square Linear Systems / 79 \\
3: General Linear Systems / 86 \\
3.1 Triangular Systems / 86 \\
3.2 Computing the LU Factorization / 92 \\
3.3 Roundoff Analysis of Gaussian Elimination / 104 \\
3.4 Pivoting / 108 \\
3.5 Improving and Estimating Accuracy / 123 \\
4: Special Linear Systems / 133 \\
4.1 The $LDM^T$ and $LDL^T$ Factorizations / 134 \\
4.2 Positive Definite Systems / 139 \\
4.3 Banded Systems / 149 \\
4.4 Symmetric Indefinite Systems / 159 \\
4.5 Block Tridiagonal Systems / 170 \\
4.6 Vandermonde Systems / 178 \\
4.7 Toeplitz Systems / 183 \\
5: Orthogonalization and Least Squares / 193 \\
5.1 Householder and Givens Transformations / 194 \\
5.2 The $Q R$ Factorization / 211 \\
5.3 The Full Rank Least Squares Problem / 221 \\
5.4 Other Orthogonal Factorizations / 233 \\
5.5 The Rank Deficient Least Squares Problem / 241 \\
5.6 Weighting and Iterative Improvement / 250 \\
5.7 A Note on Square and Underdetermined Systems / 256
\\
6: Parallel Matrix Computations / 260 \\
6.1 Distributed Memory Gaxpy / 261 \\
6.2 Shared Memory Gaxpy / 276 \\
6.3 Parallel Matrix Multiplication / 288 \\
6.4 Ring Factorization Procedures / 301 \\
6.5 Mesh Factorization Procedures / 310 \\
6.6 Shared Memory Factorization Methods / 321 \\
7: The Unsymmetric Eigenvalue Problem / 331 \\
7.1 Properties and Decompositions / 332 \\
7.2 Perturbation Theory / 341 \\
7.3 Power Iterations / 351 \\
7.4 Hessenberg and Real Schur Forms / 361 \\
7.5 The Practical $Q R$ Algorithm / 373 \\
7.6 Invariant Subspace Computations / 382 \\
7.7 The $QZ$ Method for $A x = \lambda B x$ / 394 \\
8: The Symmetric Eigenvalue Problem / 409 \\
8.1 Properties, Decompositions, Perturbation Theory /
410 \\
8.2 The Symmetric $Q R$ Algorithm / 418 \\
8.3 Computing the SVD / 427 \\
8.4 Some Special Methods / 437 \\
8.5 Jacobi Methods / 444 \\
8.6 A Divide and Conquer Method / 459 \\
8.7 More Generalized Eigenvalue Problems / 466 \\
9: Lanczos Methods / 475 \\
9.1 Derivation and Convergence Properties / 476 \\
9.2 Practical Lanczos Procedures / 484 \\
9.3 Applications and Extensions / 494 \\
10: Iterative Methods for Linear Systems / 505 \\
10.1 The Standard Iterations / 506 \\
10.2 The Conjugate Gradient Method / 516 \\
10.3 Preconditioned Conjugate Gradient Methods / 527
\\
11: Functions of Matrices / 539 \\
11.1 Eigenvalue Methods / 540 \\
11.2 Approximation Methods / 546 \\
11.3 The Matrix Exponential / 555 \\
12: Special Topics / 561 \\
12.1 Some Constrained Least Squares Problems / 561 \\
12.2 Subset Selection Using the SVD / 571 \\
12.3 Total Least Squares / 576 \\
12.4 Comparing Subspaces Using the SVD / 581 \\
12.5 Some Modified Eigenvalue Problems / 587 \\
12.6 Updating the $Q R$ Factorization / 592 \\
Bibliography / 601 \\
Index / 635",
}
@Article{Gottlieb:1989:PPD,
author = "David Gottlieb and Richard S. Hirsh",
title = "Parallel pseudospectral domain decomposition
techniques",
journal = j-J-SCI-COMPUT,
volume = "4",
number = "4",
pages = "309--325",
year = "1989",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/BF01060991",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "65N55 (65L60)",
MRnumber = "1055280 (91f:65192)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
}
@Article{Greenbaum:1989:CLS,
author = "Anne Greenbaum and Congming Li and Han Zheng Chao",
title = "Comparison of linear system solvers applied to
diffusion-type finite element equations",
journal = j-NUM-MATH,
volume = "56",
number = "6",
pages = "529--546",
month = dec,
year = "1989",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01396343",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10 (65N30)",
MRnumber = "1024011 (90k:65096)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C4130 (Interpolation and function
approximation); C4140 (Linear algebra)",
corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA",
fjournal = "Numerische Mathematik",
keywords = "approximation theory; diagonal scaling; diffusion-type
finite element equations; finite element analysis;
finite element approximations; hierarchical basis
functions; incomplete Cholesky decomposition; iterative
methods; linear algebra; linear system solvers;
Neumann--Dirichlet domain decomposition; parallel
architectures; parallel machines; performance;
preconditioned conjugate gradient methods;
preconditioner; self-adjoint elliptic differential
operators; serial architectures; serial machines",
treatment = "T Theoretical or Mathematical",
}
@Article{Greenbaum:1989:PPC,
author = "Anne Greenbaum and Congming Li and Han Zheng Chao",
title = "Parallelizing Preconditioned Conjugate Gradient
Algorithms",
journal = j-COMP-PHYS-COMM,
volume = "53",
number = "1--3",
pages = "295--309",
month = may,
year = "1989",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(89)90167-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:28:26 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465589901677",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
xxauthor = "Anne Greenbaum and Congming Li and Zheng Chao Han",
}
@Article{Gropp:1989:DDP,
author = "William D. Gropp and David E. Keyes",
title = "Domain Decomposition on Parallel Computers",
journal = j-IMP-COMP-SCI-ENG,
volume = "1",
pages = "421--439",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Ilin:1989:PSM,
editor = "V. P. Il{\cprime}in",
title = "Proektsionno-setochnye metody v zadachakh chislennogo
analiza",
publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "176",
year = "1989",
MRclass = "65-06",
MRnumber = "1140729 (92f:65010)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@TechReport{Keyes:1989:DDL,
author = "David E. Keyes and William D. Gropp",
title = "Domain Decomposition with Local Mesh refinement",
number = "YALEU/DCS/RR-726",
institution = "Yale University",
month = aug,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Keyes:1989:DDT,
author = "David E. Keyes and William D. Gropp and Ali Ecder",
booktitle = "{Solution of superlarge problems in computational
mechanics (Mystic, CT, 1988)}",
title = "Domain decomposition techniques for large sparse
nonsymmetric systems arising from elliptic problems
with first-order terms",
publisher = "Plenum",
address = "New York, NY, USA",
pages = "251--266",
year = "1989",
MRclass = "65N55 (65F50 65Y05)",
MRnumber = "1058270 (91g:65262)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Kolotilina:1989:BSP,
author = "L. Yu. Kolotilina and A. Yu. Yeremin",
title = "Block {SSOR} preconditionings for high order {$3$D FE}
systems",
journal = j-BIT,
volume = "29",
number = "4",
pages = "805--823",
year = "1989",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65F10 (65N30)",
MRnumber = "91d:65054",
MRreviewer = "Beny Neta",
bibdate = "Fri Nov 13 11:52:23 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
acknowledgement = ack-nhfb,
}
@Article{Kopriva:1989:DDB,
author = "David A. Kopriva",
title = "Domain decomposition with both spectral and finite
difference methods for the accurate computation of
flows with shocks",
journal = j-APPL-NUM-MATH,
volume = "6",
number = "1--2",
pages = "141--151",
month = dec,
year = "1989",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(89)90059-7",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "76-08 (65N99)",
MRnumber = "1 045 022",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
note = "Spectral multi-domain methods (Paris, 1988).",
acknowledgement = ack-nhfb,
affiliation = "Florida State Univ",
affiliationaddress = "Tallahassee, FL, USA",
classification = "631; 921",
conference = "12th International Association for Mathematics and
Computation in Simulation (IMACS) World Congress on
Scientific Computation",
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journalabr = "Appl Numer Math",
keywords = "Domain Decomposition; Flow of Fluids--Nozzles; Gas
Dynamics; Laval Nozzle; Mathematical Techniques--Finite
Difference Method; Spectrum Analysis; Steady Shocked
Flow",
meetingaddress = "Paris, Fr",
meetingdate = "Jul 18--22 1988",
meetingdate2 = "07/18--22/88",
}
@Article{Kuznetsov:1989:AMD,
author = "Yu. A. Kuznetsov",
title = "Algebraic multigrid domain decomposition methods",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "4",
number = "5",
pages = "351--379",
year = "1989",
ISSN = "0169-2895",
MRclass = "65N50 (65F10)",
MRnumber = "1026910 (90j:65140)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@InCollection{Kuznetsov:1989:DDM,
author = "S. B. Kuznetsov",
booktitle = "{Projection-difference methods in problems of
numerical analysis (Russian)}",
title = "The domain decomposition method in three-dimensional
problems of magnetostatics",
publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "91--108",
year = "1989",
MRclass = "78-08 (65N55 78A30)",
MRnumber = "1140735",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Kuznetsov:1989:MDDa,
author = "Yu. A. Kuznetsov",
booktitle = "{Proceedings of the Eighth International Conference on
Computing Methods in Applied Sciences and Engineering
(Versailles, 1987)}",
title = "Multigrid domain decomposition methods for elliptic
problems",
volume = "75(1--3)",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "185--193",
year = "1989",
CODEN = "CMMECC",
DOI = "https://doi.org/10.1016/0045-7825(89)90023-6",
ISSN = "0045-7825, 0374-2830",
MRclass = "65N55",
MRnumber = "1035752 (91k:65154)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = j-COMPUT-METH-APPL-MECH-ENG,
acknowledgement = ack-nhfb,
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@InProceedings{Kuznetsov:1989:MDDb,
author = "S. B. Kuznetsov",
booktitle = "{Proceedings of the Fifth International Symposium on
Numerical Methods in Engineering, Vol.\ 1, 2 (Lausanne,
1989)}",
title = "Method of domain decomposition in {$3$-D} problems of
magnetostatics",
publisher = "Comput. Mech.",
address = "Southampton, UK",
pages = "571--577",
year = "1989",
MRclass = "78-08 (78A30)",
MRnumber = "1052970",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Kuznetsov:1989:MDDc,
author = "Yuri A. Kuznetsov",
title = "Multilevel Domain Decomposition Methods",
journal = j-APP-NUM-MATH,
volume = "5",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
}
@Book{Kuznetsov:1989:MMD,
author = "Yu. A. Kuznetsov and G. K. Osorgin",
title = "Mnogosetochnyi metod dlya trekhmernoi zadachi teorii
uprugosti",
volume = "240",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, USSR",
pages = "28",
year = "1989",
MRclass = "73V20 (73C02 73V05)",
MRnumber = "1086168 (91i:73047)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@Book{Lapin:1989:MDO,
author = "A. V. Lapin",
title = "Metod dekompozitsii oblasti dlya setochnoi
approksimatsii dvukhfaznoi zadachi {Stefana}",
volume = "856",
publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "29",
year = "1989",
MRclass = "65N55",
MRnumber = "1070717 (91m:65297)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@Article{Liang:1989:NDD,
author = "Guo Ping Liang and Ping Liang",
title = "Nonconforming domain decomposition with the hybrid
finite element method",
journal = "Math. Numer. Sinica",
volume = "11",
number = "3",
pages = "323--332",
year = "1989",
ISSN = "0254-7791",
MRclass = "65N55 (65N30)",
MRnumber = "1037456 (91d:65188)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@InProceedings{Lions:1989:SAM,
author = "Pierre Louis Lions",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "On the {Schwarz} alternating method. {II}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Lu:1989:PAV,
author = "Tao L{\"u} and Chin Bo Liem and Tsi Min Shih",
booktitle = "{Mathematical sciences}",
title = "Parallel algorithms for variational inequalities based
on domain decomposition",
volume = "32(2)",
publisher = "Acad. Sinica Inst. Math.",
address = "Chengdu, PRC",
pages = "11",
year = "1989",
MRclass = "65K05 (65N55)",
MRnumber = "1060958 (91f:65124)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Math. Sci. Res. Rep. IMS",
acknowledgement = ack-nhfb,
}
@InCollection{Lu:1989:SDD,
author = "Tao L{\"u} and Tsi Min Shih and Chin Bo Liem",
booktitle = "{Mathematical sciences}",
title = "A synchronous domain decomposition method with an
estimate of convergence rate",
volume = "32(1)",
publisher = "Acad. Sinica Inst. Math.",
address = "Chengdu, PRC",
pages = "8",
year = "1989",
MRclass = "65N55",
MRnumber = "1060957 (91g:65265)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Math. Sci. Res. Rep. IMS",
acknowledgement = ack-nhfb,
}
@TechReport{Mandel:1989:BDS,
author = "Jan Mandel",
title = "On Block Diagonal and {Schur} Complement
Preconditioning",
institution = "Computational Mathematics Group, University of
Colorado at Denver",
month = nov,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Mandel:1989:EDD,
author = "Jan Mandel",
title = "Efficient Domain Decomposition Preconditioning for the
p-version Finite Element Method in Three Dimensions",
institution = "Computational Mathematics Group, University of
Colorado at Denver",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Mandel:1989:ISEa,
author = "Jan Mandel and Steve McCormick",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "Iterative Solution of Elliptic Equations with
Refinement: {The} Two-Level Case",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Mandel:1989:ISEb,
author = "Jan Mandel and Steve McCormick",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "Iterative Solution of Elliptic Equations with
Refinement: The Model Multi-Level Case",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Book{Marchuk:1989:DDM,
editor = "G. I. Marchuk",
title = "Domain decomposition methods",
publisher = "VSP",
address = "Zeist, The Netherlands",
pages = "431--533",
year = "1989",
ISSN = "0169-2895",
MRclass = "65-06 (01A12)",
MRnumber = "1045004 (90j:65005)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Selected translations, Soviet J. Numer. Anal. Math.
Modelling {{\bf{4}}} (1989), no. 6",
acknowledgement = ack-nhfb,
}
@Book{Marchuk:1989:MVM,
author = "G. I. Marchuk",
title = "Metody vychislitelnoi matematiki",
publisher = "Nauka",
address = "Moscow, Russia",
edition = "Third",
pages = "608",
year = "1989",
ISBN = "5-02-014222-0",
ISBN-13 = "978-5-02-014222-0",
MRclass = "65-01",
MRnumber = "1043176 (91h:65002)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Marini:1989:RPD,
author = "L. D. Marini and A. Quarteroni",
title = "A relaxation procedure for domain decomposition
methods using finite elements",
journal = j-NUM-MATH,
volume = "55",
number = "5",
pages = "575--598",
month = aug,
year = "1989",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N30",
MRnumber = "90g:65150",
MRreviewer = "David F. Griffiths",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/mgnet.bib; Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classification = "A4710 (General theory, simulation and other
computational methods); B0290F (Interpolation and
function approximation); C4130 (Interpolation and
function approximation)",
corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy",
keywords = "automatic selection; convergence analysis; convergence
of numerical methods; domain decomposition methods;
elliptic equations; finite element analysis; finite
elements; flow; incompressible Stokes equations;
iterative methods; iterative procedure; relaxation
procedure; subdomains; transmission conditions",
treatment = "T Theoretical or Mathematical",
}
@PhdThesis{Mathew:1989:DDI,
author = "Tarek P. Mathew",
title = "Domain Decomposition and Iterative Refinement Methods
for Mixed Finite Element Discretisations of Elliptic
Problems",
school = "Courant Institute of Mathematical Sciences",
month = sep,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Tech. Rep. 463, Department of Computer Science,
Courant Institute",
}
@Article{Matsokin:1989:UBM,
author = "A. M. Matsokin and S. V. Nepomnyaschikh",
title = "On using the bordering method for solving systems of
mesh equations",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "4",
number = "6",
pages = "487--492",
year = "1989",
ISSN = "0169-2895",
MRclass = "65N22",
MRnumber = "1045005 (91d:65161)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Domain decomposition methods",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Book{McCormick:1989:MAM,
author = "Stephen F. McCormick",
title = "Multilevel Adaptive Methods for Partial Differential
Equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "ix + 162",
year = "1989",
ISBN = "0-89871-247-5",
ISBN-13 = "978-0-89871-247-6",
LCCN = "QA377 .M32 1989",
bibdate = "Mon Jul 11 12:54:12 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{McCormick:1989:MAS,
author = "Steve McCormick",
booktitle = "{Proceedings of the Fifth International Symposium on
Numerical Methods in Engineering, Vol.\ 1, 2 (Lausanne,
1989)}",
title = "Multilevel adaptive schemes and domain decomposition
methods",
publisher = "Comput. Mech.",
address = "Southampton, UK",
pages = "245--252",
year = "1989",
MRclass = "65N50",
MRnumber = "1052958",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Meurant:1989:DDM,
author = "G{\'e}rard Meurant",
booktitle = "{Vector and parallel computing (Troms\o, 1988)}",
title = "Domain decomposition methods for partial differential
equations on parallel computers",
publisher = "Horwood",
address = "Chichester, UK",
pages = "241--253",
year = "1989",
MRclass = "65N55 (65Y05)",
MRnumber = "1101640",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Ellis Horwood Ser. Comput. Appl.",
acknowledgement = ack-nhfb,
}
@Article{Mroz:1989:DDM,
author = "Monika Mr{\'o}z",
title = "Domain decomposition method for elliptic mixed
boundary value problems",
journal = j-COMPUTING,
volume = "42",
number = "1",
pages = "45--59",
year = "1989",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65N20 (65F10)",
MRnumber = "90g:65137",
MRreviewer = "H. R. Schwarz",
bibdate = "Mon Oct 11 20:38:38 MDT 1999",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@TechReport{Ong:1989:HBP,
author = "M. E. G. Ong",
title = "Hierarchical Basis Preconditioners for Second Order
Elliptic Problems in Three Dimensions",
number = "89--3",
institution = "Dept. of Applied Math. University of Washington,
Seattle",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Oswald:1989:EHB,
author = "Peter Oswald",
title = "On estimates for hierarchic basis representations of
finite element functions",
number = "N/89/16",
institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Oswald:1989:IHS,
author = "Peter Oswald",
title = "On ${C}^1$ interpolating hierarchical spline bases",
number = "N/89/16",
institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Papamichael:1989:NCM,
author = "N. Papamichael",
booktitle = "{Proceedings of the 3rd International Congress on
Computational and Applied Mathematics (Leuven, 1988)}",
title = "Numerical conformal mapping onto a rectangle with
applications to the solution of {Laplacian} problems",
volume = "28 (special issue)",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "63--83",
year = "1989",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(89)90321-X",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "30C30",
MRnumber = "1038832 (90m:30011)",
MRreviewer = "D. Gaier",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = j-J-COMPUT-APPL-MATH,
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
}
@InProceedings{Quarteroni:1989:DDA,
author = "Alfio Quarteroni",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "Domain Decomposition Algorithms for the {Stokes}
Equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Quarteroni:1989:ISN,
author = "A. Quarteroni and G. Sacchi Landriani",
booktitle = "{Applications of mathematics in industry and
technology (Siena, 1988)}",
title = "Iteration by subdomains in numerical fluid dynamics",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "54--76",
year = "1989",
MRclass = "76M10 (65N99 76D07 76M25)",
MRnumber = "1079943 (91k:76111)",
MRreviewer = "Timothy Nigel Phillips",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Rodrigue:1989:CCA,
author = "Garry Rodrigue and Li Shan Kang and Yu Hui Liu",
title = "Convergence and comparison analysis of some numerical
{Schwarz} methods",
journal = j-NUM-MATH,
volume = "56",
number = "2--3",
pages = "123--138",
month = oct,
year = "1989",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01409781",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N50",
MRnumber = "1018297 (90k:65182)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C1120 (Analysis); C4130
(Interpolation and function approximation); C4140
(Linear algebra); C4170 (Differential equations)",
corpsource = "California Univ., Davis, CA, USA",
fjournal = "Numerische Mathematik",
keywords = "approximation theory; block Gauss-Siedel methods;
block Jacobi methods; comparison analysis; convergence
analysis; convergence behavior; convergence of
numerical methods; domain decomposition methods;
elliptic equations; inner-outer iterative procedure;
iterative methods; M-matrix analysis; matrix algebra;
multi-processors; numerical Schwarz methods; partial
differential equations; subdomain approximations;
subdomain iteration procedures",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Roeck:1989:LPD,
author = "Yann-Herv{\'e} De Roeck",
title = "A local preconditioner in a domain-decomposed method",
number = "TR89/10",
institution = "Centre Europ{\'e}en de Recherche et de Formation
Avanc{\'e}e en Calcul Scientifique",
address = "Toulouse, France",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Rogers:1989:PDT,
author = "Anne Rogers and Keshav Pingali",
title = "Process decomposition through locality of reference",
journal = j-SIGPLAN,
volume = "24",
number = "7",
pages = "69--80",
month = jul,
year = "1989",
CODEN = "SINODQ",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Sun Dec 14 09:15:41 MST 2003",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/proceedings/pldi/73141/index.html;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/sigplan1980.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/pldi/73141/p69-rogers/",
abstract = "In the context of sequential computers, it is common
practice to exploit temporal locality of reference
through devices such as caches and virtual memory. In
the context of multiprocessors, we believe that it is
equally important to exploit spatial locality of
reference. We are developing a system which, given a
sequential program and its domain decomposition,
performs process decomposition so as to enhance spatial
locality of reference. We describe an application of
this method --- generating code from shared-memory
programs for the (distributed memory) Intel iPSC/2.",
acknowledgement = ack-nhfb,
affiliationaddress = "Ithaca, NY, USA",
annote = "Published as part of the Proceedings of PLDI'89.",
classification = "722; 723",
conference = "Proceedings of the SIGPLAN '89 Conference on
Programming Language Design and Implementation",
journalabr = "SIGPLAN Not",
keywords = "algorithms; Computer Operating Systems--Program
Compilers; Computer Programming Languages; Computer
Systems Programming--Multiprocessing Programs; Design;
design; Optimizing Compilers; performance; Process
Decomposition",
meetingaddress = "Portland, OR, USA",
meetingdate = "Jun 21--23 1989",
meetingdate2 = "06/21--23/89",
sponsor = "ACM, Special Interest Group on Programming Languages,
New York; SS NY, USA",
subject = "{\bf D.1.4} Software, PROGRAMMING TECHNIQUES,
Sequential Programming. {\bf D.1.1} Software,
PROGRAMMING TECHNIQUES, Applicative (Functional)
Programming. {\bf D.4.1} Software, OPERATING SYSTEMS,
Process Management,
Multiprocessing/multiprogramming/multitasking.",
}
@InCollection{Shakib:1989:EEA,
author = "Farzin Shakib and Thomas J. R. Hughes and Zden{\v{e}}k
Johan",
booktitle = "{Solution of superlarge problems in computational
mechanics (Mystic, CT, 1988)}",
title = "Element-by-element algorithms for nonsymmetric matrix
problems arising in fluids",
publisher = "Plenum",
address = "New York, NY, USA",
pages = "1--33",
year = "1989",
MRclass = "65F10 (65N55 76M10)",
MRnumber = "1058262 (91f:65070)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Shakib:1989:MEG,
author = "Farzin Shakib and Thomas J. R. Hughes and Zden{\v{e}}k
Johan",
booktitle = "{Proceedings of the Eighth International Conference on
Computing Methods in Applied Sciences and Engineering
(Versailles, 1987)}",
title = "A multi-element group preconditioned {GMRES} algorithm
for nonsymmetric systems arising in finite element
analysis",
volume = "75(1--3)",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "415--456",
year = "1989",
CODEN = "CMMECC",
DOI = "https://doi.org/10.1016/0045-7825(89)90040-6",
ISSN = "0045-7825, 0374-2830",
MRclass = "76M10 (76-04)",
MRnumber = "1035757 (91a:76065)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = j-COMPUT-METH-APPL-MECH-ENG,
acknowledgement = ack-nhfb,
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@Article{Smelov:1989:FIP,
author = "V. V. Smelov",
title = "Formulation of the iterative process on subdomains for
transport theory problems in odd
{$P_{2N+1}$}-approximation",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "4",
number = "6",
pages = "507--521",
year = "1989",
ISSN = "0169-2895",
MRclass = "82D75 (65N22)",
MRnumber = "1045006 (91c:82083)",
MRreviewer = "B. Kellogg",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Domain decomposition methods",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Article{Succi:1989:FCP,
author = "Sauro Succi and Maurizio Benassi",
title = "A four-color parallel algorithm for the solution of a
two-dimensional advection-diffusion equation with the
finite element method",
journal = j-J-SCI-COMPUT,
volume = "4",
number = "1",
pages = "61--70",
year = "1989",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/BF01061266",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "65W05 (65N30)",
MRnumber = "1028924 (90i:65262)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
}
@InProceedings{Widlund:1989:ISE,
author = "Olof B. Widlund",
editor = "T. J. Chung and G. R. Karr",
booktitle = "Finite Element Analysis in Fluids",
title = "Iterative Solution of Elliptic Finite Element Problems
on Locally Refined Meshes",
publisher = pub-U-ALABAMA,
address = pub-U-ALABAMA:adr,
pages = "462--467",
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Proceeding of the 7th International Conference on
Finite Element Methods in Flow Problems held in
Huntsville, Alabama, April 3 -- 7, 1989.",
}
@InProceedings{Widlund:1989:OIR,
author = "Olof B. Widlund",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Domain Decomposition Methods",
title = "Optimal Iterative Refinement Methods",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1989",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Widlund:1989:RCC,
author = "Olof B. Widlund",
title = "On the Rate of Convergence of the Classical {Schwarz}
Alternating Method in the Case of more than Two
Subregions",
institution = "Department of Computer Science, Courant Institute",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "A revised version in preparation",
}
@Article{Widlund:1989:SDD,
author = "Olof B. Widlund",
title = "Some Domain Decomposition and Iterative Refinement
Algorithms for Elliptic Finite Element Problems",
journal = j-J-COMP-MATH,
volume = "7",
number = "2",
pages = "200--208",
year = "1989",
CODEN = "JCMMEB",
ISSN = "0254-9409",
MRclass = "65N30",
MRnumber = "1016840 (90m:65204)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Proceedings of the China - U. S. Seminar on Boundary
Integral Equations and Boundary Element Methods in
Physics and Engineering, held at the Xi'an Jiaotong
University, Xi'an, The People's Republic of China,
December 27, 1987 - January 1, 1988.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Mathematics. An International
Journal on Numerical Methods, Analysis and
Applications",
xxjournal = j-COMP-MATH,
}
@InProceedings{Wu:1989:DDT,
author = "Chang Hui Wu and Song Wang",
booktitle = "{Proceedings of the 3rd International Congress on
Computational and Applied Mathematics (Leuven, 1988)}",
title = "Domain decomposition technique for the continuity
equations of semiconductor device models",
volume = "28 (special issue)",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "403--412",
year = "1989",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(89)90351-8",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "65N50",
MRnumber = "1038860",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = j-J-COMPUT-APPL-MATH,
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
}
@PhdThesis{Xu:1989:TMM,
author = "Jinchao Xu",
title = "Theory of Multilevel Methods",
school = "Cornell University",
month = may,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Zampieri:1989:IMD,
author = "E. Zampieri",
title = "Iterative methods for domain decomposition using
spectral tau and collocation approximation",
journal = j-CALCOLO,
volume = "26",
number = "1",
pages = "61--91",
year = "1989",
CODEN = "CDABAE",
DOI = "https://doi.org/10.1007/BF02576507",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
MRclass = "65N35",
MRnumber = "1053308 (91f:65180)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory
of Computation",
}
@InCollection{Abdulaev:1990:DDM,
author = "G. S. Abdulaev and Yu. A. Kuznetsov",
booktitle = "{Numerical methods and software (Russian)}",
title = "The domain decomposition method for nonstationary
semiconductor equations",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, Russia",
pages = "4--14",
year = "1990",
MRclass = "65M55 (65M60 65N55)",
MRnumber = "1108843 (92c:65107)",
MRreviewer = "Bernd Heinrich",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Agoshkov:1990:ASD,
author = "V. I. Agoshkov",
booktitle = "{Conjugate equations in problems of mathematical
physics (Russian)}",
title = "The application of some of domain decomposition
methods to nonstationary problems and to problems with
small parameter",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, Russia",
pages = "133--149",
year = "1990",
MRclass = "65N55",
MRnumber = "1156975",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Agoshkov:1990:GSA,
author = "V. I. Agoshkov and V. I. Lebedev",
title = "Generalized {Schwartz} algorithm with variable
parameters [translation of {Preprint} 19, {Akad}.\
{Nauk SSSR}, {Otdel}.\ {Vychisl}.\ {Mat}., {Moscow},
1981]",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "5",
number = "1",
pages = "1--26",
year = "1990",
ISSN = "0169-2895",
MRclass = "65N55",
MRnumber = "1124933 (92j:65190)",
MRreviewer = "Relja Vulanovi{\'c}",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Book{Agoshkov:1990:MRO,
author = "V. I. Agoshkov",
title = "Metod razdeleniya oblasti: nekotorye rezultaty teorii
i prilozhenii",
volume = "257",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, Russia",
pages = "40",
year = "1990",
MRclass = "65N55",
MRnumber = "1115300 (92d:65209)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "With an English summary",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@Book{Agoshkov:1990:SUV,
editor = "V. I. Agoshkov and V. P. Shutyaev",
title = "Sopryazhennye uravneniya v zadachakh matematicheskoi
fiziki",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, Russia",
pages = "150",
year = "1990",
MRclass = "00B15",
MRnumber = "1156969 (92m:00024)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Agoshkov:1990:VAD,
author = "V. I. Agoshkov and V. I. Lebedev",
title = "Variational algorithms of the domain decomposition
method [translation of {Preprint} 54, {Akad}.\ {Nauk
SSSR}, {Otdel}.\ {Vychisl}.\ {Mat}., {Moscow}, 1983]",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "5",
number = "1",
pages = "27--46",
year = "1990",
ISSN = "0169-2895",
MRclass = "65N55 (65K10)",
MRnumber = "1124934 (92j:65191)",
MRreviewer = "Relja Vulanovi{\'c}",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Book{Anonymous:1990:SJN,
editor = "Anonymous",
title = "{Soviet Journal of Numerical Analysis and Mathematical
Modelling}",
publisher = "VSP",
address = "Zeist, The Netherlands",
pages = "1--90",
year = "1990",
ISSN = "0169-2895",
MRclass = "65-06 (00B50)",
MRnumber = "1124932 (92d:65011)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Selected translations, Soviet J. Numer. Anal. Math.
Modelling {{\bf{5}}} (1990), no. 1",
acknowledgement = ack-nhfb,
}
@TechReport{Baber:1990:HAD,
author = "Marc Baber",
title = "Hypertasking: automatic data parallel domain
decomposition on the {Intel} parallel supercomputer",
type = "Technical report",
number = "CS/E 90-006",
institution = "Oregon Graduate Institute of Science and Technology,
Dept. of Computer Science and Engineering",
address = "Beaverton, OR",
pages = "16",
month = may,
year = "1990",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "Many nearest neighbor data parallel problems share a
similar domain decomposition strategy for hypercube
architectures. That strategy is to map sub-blocks, or
grains, of each array variable to the available nodes
in a manner that matches the hypercube topology to the
geometry of the underlying problem, maximizing locality
of reference and minimizing message passing overhead.
Each node then applies the same algorithm used in the
original sequential code to its subset of the data,
synchronizing with its neighbors as necessary. This
paper describes a domain decomposition tool that
accepts a sequential C program with comment directives
as input, and produces a new SPMD (Single Program
Multiple Data) C program which can be run on a
hypercube of any size. Directives allow the user to
mark certain arrays to become distributed memory
virtual arrays, to limit loops to indices that refer to
the local sub-block of an array, and to cause exchanges
of boundary values to occur between nodes. The
preprocessor approach maintains code portability and is
similar to some techniques used on shared memory
machines.",
acknowledgement = ack-nhfb,
keywords = "Parallel processing (Electronic computers);
Supercomputers",
}
@Book{Bank:1990:PSP,
author = "Randolph E. Bank",
title = "{PLTMG}: {A} Software Package for Solving Elliptic
Partial Differential Equations. Users' Guide 6.0",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "ix + 162",
year = "1990",
ISBN = "0-89871-255-6",
ISBN-13 = "978-0-89871-255-1",
LCCN = "QA377 .B26 1990",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Bernardi:1990:RPT,
author = "Christine Bernardi and Yvon Maday",
title = "Rel{\`e}vement Polynomial de Traces et Applications.
({French}) [{Polynomial} raising of Traces and
Applications]",
journal = j-MMAN,
volume = "24",
number = "5",
pages = "557--611",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
language = "French",
}
@InProceedings{Bjorstad:1990:PDD,
author = "Petter E. Bj{\o}rstad and Randi Moe and Morten
Skogen",
editor = "Wolfgang Hackbusch",
booktitle = "Parallel Algorithms for PDEs, Proceedings of the 6th
GAMM-Seminar held in Kiel, Germany, January 19--21,
1990",
title = "Parallel Domain Decomposition and Iterative Refinement
Algorithms",
publisher = pub-VIEWEG-VERLAG,
address = pub-VIEWEG-VERLAG:adr,
year = "1990",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Borgers:1990:FED,
author = "Christoph B{\"o}rgers and Olof B. Widlund",
title = "On Finite Element Domain Imbedding Methods",
journal = j-SIAM-J-NUMER-ANAL,
volume = "27",
number = "4",
pages = "963--978",
month = aug,
year = "1990",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N30",
MRnumber = "91g:65235",
MRreviewer = "Chuan Miao Chen",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bourquin:1990:ACS,
author = "Fr{\'e}d{\'e}ric Bourquin",
title = "Analysis and comparison of several component mode
synthesis methods on one-dimensional domains",
journal = j-NUM-MATH,
volume = "58",
number = "1",
pages = "11--33",
year = "1990",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01385608",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N55 (34A46 65L15 65N25)",
MRnumber = "1069651 (92a:65323)",
MRreviewer = "Rolf Rannacher",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@TechReport{Bramble:1990:DDM,
author = "James H. Bramble and Richard E. Ewing and Rossen R.
Parashkevov and Joseph E. Pasciak",
title = "Domain Decomposition Methods for Problems with Partial
Refinement",
institution = "Cornell University",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Bramble:1990:DDT,
author = "James H. Bramble and Joseph E. Pasciak",
title = "A domain decomposition technique for {Stokes}
problems",
journal = j-APPL-NUM-MATH,
volume = "6",
number = "4",
pages = "251--261",
month = may,
year = "1990",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55 (76D07 76M10 76M25)",
MRnumber = "91f:65188",
bibdate = "Sat Feb 8 10:09:54 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
}
@Article{Bramble:1990:PMP,
author = "James H. Bramble and Joseph E. Pasciak and Jin Chao
Xu",
title = "Parallel Multilevel Preconditioners",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "1--22",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N30 (65F10)",
MRnumber = "90k:65170",
MRreviewer = "Wolfgang Moldenhauer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; Math/kbmath.bib; Parallel/mgnet.bib;
Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "abstract theory; approximation theory; boundary-value
problems; condition number; differential; discrete
systems; equations; full approximation space; nested
subspaces; numerical approximation; parallel multilevel
preconditioners; problems; symmetric elliptic boundary
value",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Bramley:1990:DDP,
author = "Randall Barry Bramley and Ahmed Sameh",
title = "Domain decomposition for parallel row projection
algorithms",
number = "CSRD 958",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "13",
month = jan,
year = "1990",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "Row projection algorithms for solving nonsymmetric
linear systems are theoretically robust, converging for
systems with indefinite symmetric parts and arbitrarily
distributed eigenvalues. Slow convergence, however, has
prevented their widespread use. This paper shows that a
domain decomposition approach gives row projections
methods that allow parallelism in the computations. The
level of concurrency and size of the created subtasks
can be chosen to suit the target machine, and the
resulting algorithms have advantages over standard
domain decomposition methods.",
acknowledgement = ack-nhfb,
annote = "Submitted to Applied Numerical Mathematics, 1990.
Supported in part by the National Science Foundation.
Supported in part by U.S. Department of Energy.
Supported in part by AT\&T. Supported in part by the
Air Force Office of Scientific Research.",
keywords = "Eigenvalues; Linear systems",
}
@Book{Buleev:1990:PRA,
author = "S. N. Buleev",
title = "Programmnaya realizatsiya algoritmov razdeleniya
oblasti",
volume = "244",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, Russia",
pages = "24",
year = "1990",
MRclass = "65N55",
MRnumber = "1086624 (91m:65293)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@InProceedings{Cai:1990:ASA,
author = "Xiao-Chuan Cai",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "An Additive {Schwarz} Algorithm for Nonselfadjoint
Elliptic Equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1990",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Cai:1990:CRE,
author = "Xiao-Chuan Cai and William D. Gropp and David E.
Keyes",
title = "Convergence Rate Estimate for a Domain Decomposition
Method",
institution = "Yale University",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Submitted to Numer. Math.",
}
@Article{Coron:1990:ECA,
author = "F. Coron",
title = "Errata: ``{Computation} of the asymptotic states for
linear half space kinetic problems''",
journal = "Transport Theory Statist. Phys.",
volume = "19",
number = "6",
pages = "581",
year = "1990",
CODEN = "TTSPB4",
DOI = "https://doi.org/10.1080/00411459008260825",
ISSN = "0041-1450",
MRclass = "82C40 (65M99 82C80)",
MRnumber = "1090949 (92b:82103b)",
MRreviewer = "B. Kellogg",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Transport Theory and Statistical Physics",
}
@Article{Despres:1990:DDP,
author = "Bruno Despr{\'e}s",
title = "{D{\'e}composition} de domaine et probl{\`e}me de
{Helmholtz}. ({French}) [{Domain} decomposition in the
{Helmholtz} problem]",
journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH,
volume = "311",
number = "6",
pages = "313--316",
year = "1990",
CODEN = "CASMEI",
ISSN = "0764-4442 (print), 1778-3577 (electronic)",
MRclass = "65N55",
MRnumber = "1071633 (91k:65153)",
MRreviewer = "A. Quarteroni",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus de l'Acad{\'e}mie des Sciences.
S{\'e}rie I. Math{\'e}matique",
language = "French",
}
@Article{Deville:1990:CCS,
author = "M. O. Deville",
title = "{Chebyshev} collocation solutions of flow problems",
journal = j-COMPUT-METH-APPL-MECH-ENG,
volume = "80",
number = "1--3",
pages = "27--37",
year = "1990",
CODEN = "CMMECC",
DOI = "https://doi.org/10.1016/0045-7825(90)90012-B",
ISSN = "0045-7825, 0374-2830",
MRclass = "76M10 (65N35 76A05 76D05 76D07 76M25)",
MRnumber = "1067940 (91g:76063)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Spectral and high order methods for partial
differential equations (Como, 1989)",
acknowledgement = ack-nhfb,
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@Article{Dostal:1990:PPD,
author = "Zden{\v{e}}k Dost{\'a}l",
title = "Projector preconditioning and domain decomposition
methods",
journal = j-APPL-MATH-COMP,
volume = "37",
number = "2 (part II)",
pages = "75--81",
month = may,
year = "1990",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
MRclass = "65N55 (65F35)",
MRnumber = "1 055 447",
bibdate = "Fri Feb 28 14:35:55 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
acknowledgement = ack-nhfb,
affiliation = "Hornicky Ustav CSAV, Ostrava, Czechoslovakia",
}
@InProceedings{Dryja:1990:TUT,
author = "Maksymilian Dryja and Olof B. Widlund",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations, held in
Houston, Texas, March 20-22, 1989",
title = "Towards a Unified Theory of Domain Decomposition
Algorithms for Elliptic Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1990",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@MastersThesis{Frank:1990:ECM,
author = "George N. Frank",
title = "Experiments on the {Cedar} multicluster with parallel
block cyclic reduction and an application to domain
decomposition methods",
type = "Thesis (M.S.)",
number = "CSRD 1056; UILU-ENG-90-8032",
school = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "vii + 69",
month = nov,
year = "1990",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "The objective of this work is to map certain
algorithms for the efficient solution of a class of
elliptic partial differential equations on an
architecture with multiple levels of computational
parallelism and hierarchical memory organization. The
prototype system is the Cedar multicluster, developed
at the Center for Supercomputing Research and
Development (CSRD) at the University of Illinois. In
our experiments, each cluster of Cedar is a modified
Alliant FX/8 with four processors. The algorithms we
implement are parallel block cyclic reduction, and
certain domain decomposition methods based on the Schur
complement, for T-shaped regions. They are written to
exploit the multiple cluster capabilities of the
machine, as well as the concurrent and vector
computational resources of each cluster. For each of
these applications we obtain good multi-cluster
performance: good speedups are obtained for the new
implementations on multiple clusters of Cedar, relative
to the implementations best suited for a single
cluster. Most importantly, our experiments also point
to advantages of the multi-cluster organization. For
the case of block cyclic reduction, for example, the
performance using the new multicluster algorithm on
eight processors organized in two clusters is superior
to that of the original parallel algorithm optimized
for the eight faster processors of the Alliant FX/80.",
acknowledgement = ack-nhfb,
annote = "Supported in part by the National Science Foundation.
Supported in part by the U.S. Department of Energy.",
keywords = "Algorithms; Differential equations, Partial; Parallel
processing (Electronic computers)",
}
@TechReport{Frank:1990:EEP,
author = "G. Frank and E. J. (Efstratios J.) Gallopoulos and
Ulrike Meier",
title = "Experiments with elliptic problem solvers on the
{Cedar} multicluster",
type = "Technical Report",
number = "CSRD 902",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "6",
month = mar,
year = "1990",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "The implementation and performance of algorithms for
the solution of elliptic problems on the Cedar
multiprocessor is examined. The algorithms considered
are conjugate gradient schemes with or without
preconditioning on a rectangular domain and domain
decomposition techniques with overlapping (Schwarz
Alternating Method) and nonoverlapping subdomains on a
T-shaped domain. We present some preliminary results
from our current research effort.",
acknowledgement = ack-nhfb,
annote = "To appear in Proc. of Fourth SIAM Conference on
Parallel Processing Sci. Computing, Chicago, IL,
December 1989 (revised March 1990) Supported in part by
the National Science Foundation. Supported in part by
the U.S. Dept. of Energy. Supported in part by AT\&T.
Supported in part by the Air Force Office of Scientific
Research. Supported in part by NASA Ames Research
Center.",
keywords = "Multiprocessors",
}
@Article{Gaier:1990:MLQ,
author = "D. Gaier and W. K. Hayman",
title = "Moduli of long quadrilaterals and thick ring domains",
journal = j-REND-MAT-APPL-1981,
volume = "10",
number = "4",
pages = "809--834 (1991)",
year = "1990",
CODEN = "RNMTAN",
ISSN = "1120-7183",
MRclass = "30C35 (30C30)",
MRnumber = "1145682 (93b:30007)",
MRreviewer = "N. Papamichael",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Rendiconti di Matematica e delle sue Applicazioni.
Serie VII",
}
@InProceedings{Glowinski:1990:ADD,
author = "R. Glowinski and W. Kinton and M. F. Wheeler",
editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
and Olof Widlund",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations, held in
Houston, Texas, March 20-22, 1989",
title = "Acceleration of Domain Decomposition Algorithms for
Mixed Finite Elements by Multi-level Methods",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1990",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Haase:1990:NADa,
author = "Gundolf Haase and Ulrich Langer and Arnd Meyer",
title = "A New Approach to the {Dirichlet} Domain Decomposition
Method",
institution = "Technical University of Chemnitz",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Haase:1990:NADb,
author = "Gundolf Haase and Ulrich Langer and Arnd Meyer",
booktitle = "{Fifth Multigrid Seminar (Eberswalde, 1990)}",
title = "A new approach to the {Dirichlet} domain decomposition
method",
volume = "90",
publisher = "Karl-Weierstrass-Inst. Math.",
address = "Berlin, Germany",
pages = "1--59",
year = "1990",
MRclass = "65N55 (65F35)",
MRnumber = "1100487 (92a:65327)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Rep. MATH",
acknowledgement = ack-nhfb,
}
@Article{Huang:1990:UFD,
author = "Lan Chieh Huang",
title = "The {ULWC} finite difference scheme for the numerical
solution of incompressible {Navier--Stokes} equations",
journal = "Math. Numer. Sinica",
volume = "12",
number = "2",
pages = "194--205",
year = "1990",
ISSN = "0254-7791",
MRclass = "65P05 (76D05 76M20)",
MRnumber = "1070309 (91i:65199)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@TechReport{Hvidsten:1990:PFE,
author = "Anders Hvidsten",
title = "On the Parallelization of a Finite Element Structural
Analysis Program",
institution = "University of Bergen, Norway",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Ph.D. Thesis. Computer Science Department",
}
@Book{Ilin:1990:CMM,
editor = "V. P. Il{\cprime}in",
title = "Chislennye metody i matematicheskoe modelirovanie",
publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "167",
year = "1990",
MRclass = "65-06 (35-06)",
MRnumber = "1209167 (93i:65007)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Kang:1990:DDM,
author = "Li Shan Kang and Garry Rodrigue",
title = "Domain decomposition methods for solving {PDEs} on
multi-processors",
journal = "Acta Math. Sci. (English Ed.)",
volume = "10",
number = "4",
pages = "459--470",
year = "1990",
ISSN = "0252-9602",
MRclass = "65N55 (65N12 65Y05)",
MRnumber = "1107374 (92a:65328)",
MRreviewer = "Stanly L. Steinberg",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Scientia. English Edition. Shuxue
Wuli Xuebao",
}
@Article{Karageorghis:1990:EDM,
author = "Andreas Karageorghis and Timothy N. Phillips",
title = "On efficient direct methods for conforming spectral
domain decomposition techniques",
journal = j-J-COMPUT-APPL-MATH,
volume = "33",
number = "2",
pages = "141--155",
year = "1990",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(90)90364-6",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "65M55 (65M70)",
MRnumber = "1090891 (92a:65254)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
}
@Article{Keyes:1990:DDT,
author = "David E. Keyes and William D. Gropp",
title = "Domain Decomposition Techniques for the Parallel
Solution of Nonsymmetric Systems of Elliptic {BVPs}",
journal = j-APP-NUM-MATH,
volume = "6",
pages = "281--301",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Khoromsky:1990:DDM,
author = "B. N. Khoromsky and G. E. Mazurkevich and E. P.
Zhidkov",
title = "Domain decomposition method for magnetostatics
nonlinear problems in combined formulation",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "5",
number = "2",
pages = "111--136",
year = "1990",
ISSN = "0169-2895",
MRclass = "65N55 (78-08 78A30)",
MRnumber = "1122364 (92h:65185)",
MRreviewer = "P. Rochus",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Article{Kiss:1990:IMN,
author = "B{\'e}la Kiss",
title = "An iterative method for nonselfadjoint elliptic
problems on regions partitioned into substructures",
journal = "Ann. Univ. Sci. Budapest. Sect. Comput.",
volume = "10",
pages = "19--33",
year = "1990",
ISSN = "0138-9491",
MRclass = "65N55 (65N30)",
MRnumber = "1097031 (92a:65330)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Annales Universitatis Scientiarum Budapestinensis de
Rolando E{\"o}tv{\"o}s Nominatae. Sectio
Computatorica",
}
@InCollection{Konshin:1990:OMD,
author = "I. N. Kon{\cprime}shin",
booktitle = "{Numerical methods and software (Russian)}",
title = "Optimization of multigrid domain decomposition
methods",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, Russia",
pages = "73--94",
year = "1990",
MRclass = "65N55",
MRnumber = "1108848",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Korshiya:1990:DMS,
author = "T. K. Korshiya and G. B. Lobzhanidze",
title = "The decomposition method for solving block-tape
systems of algebraic equations",
journal = "Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy",
volume = "40",
pages = "103--149, 247--248",
year = "1990",
ISSN = "0376-2637",
MRclass = "65N22 (65F05 65N06 65N30 65N55 65Y05)",
MRnumber = "1122576 (92h:65161)",
MRreviewer = "W. Govaerts",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Tbilisski\u\i\ Gosudarstvenny\u\i\ Universitet.
Institut Prikladno\u\i\ Matematiki. Trudy",
}
@Book{Kuznetsov:1990:CMP,
editor = "Yu. A. Kuznetsov",
title = "Chislennye metody i programmnoe obespechenie",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, Russia",
pages = "164",
year = "1990",
MRclass = "65-06 (00B15)",
MRnumber = "1108842 (91m:65004)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Kuznetsov:1990:DDMa,
author = "I. B. Kuznetsov and S. B. Kuznetsov and K. M.
Shkol{\cprime}nik",
booktitle = "{Numerical methods and mathematical modeling
(Russian)}",
title = "The domain decomposition method for the
parallelization of a sequential upper relaxation
algorithm",
publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "95--104",
year = "1990",
MRclass = "65N55",
MRnumber = "1209171",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Kuznetsov:1990:DDMb,
author = "Yu. A. Kuznetsov",
booktitle = "{Computing methods in applied sciences and engineering
(Paris, 1990)}",
title = "Domain decomposition methods for unsteady
convection-diffusion problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "211--227",
year = "1990",
MRclass = "65N55",
MRnumber = "1102024",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Kuznetsov:1990:MLD,
author = "Yu. A. Kuznetsov",
title = "Multi-level domain decomposition methods",
journal = j-APPL-NUM-MATH,
volume = "6",
number = "4",
pages = "303--314",
month = may,
year = "1990",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55",
MRnumber = "91g:65264",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Sat Feb 8 10:09:54 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
}
@Article{Kuznetsov:1990:MMP,
author = "Yu. A. Kuznetsov and G. K. Osorgin",
title = "Multigrid method for the plane problem of elasticity
theory",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "5",
number = "2",
pages = "137--156",
year = "1990",
ISSN = "0169-2895",
MRclass = "65N55 (65N22 73C02 73V10)",
MRnumber = "1122365 (92d:65210)",
MRreviewer = "S. F. McCormick",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Article{Landriani:1990:MSC,
author = "G. Sacchi Landriani and H. Vandeven",
title = "A multidomain spectral collocation method for the
{Stokes} problem",
journal = j-NUM-MATH,
volume = "58",
number = "4",
pages = "441--464",
year = "1990",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01385635",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N35 (76D07 76M25)",
MRnumber = "1077588 (91j:65168)",
MRreviewer = "Timothy Nigel Phillips",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Liang:1990:NDD,
author = "Gou-ping Liang and Ping Liang",
title = "Nonconforming domain decomposition with hybrid
method",
journal = j-J-COMP-MATH,
volume = "8",
number = "4",
pages = "363--370",
year = "1990",
CODEN = "JCMMEB",
ISSN = "0254-9409",
MRclass = "65N55",
MRnumber = "1149718 (92i:65186)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Mathematics. An International
Journal on Numerical Methods, Analysis and
Applications",
}
@InProceedings{Lions:1990:SAM,
author = "Pierre Louis Lions",
editor = "Tony F. Chan and Roland Glowinski and Jacques
P{\'e}riaux and Olof Widlund",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations , held in
Houston, Texas, March 20-22, 1989",
title = "On the {Schwarz} alternating method. {III}: {A}
variant for nonoverlapping subdomains",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1990",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Mandel:1990:HPP,
author = "Jan Mandel",
editor = "Tony F. Chan and Roland Glowinski and Jacques
P{\'e}riaux and Olof Widlund",
booktitle = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations, held in
Houston, Texas, March 20-22, 1989",
title = "Hierarchical preconditioning and partial
orthogonalization for the p-version finite element
method",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1990",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Mandel:1990:ISS,
author = "Jan Mandel",
title = "Iterative solvers by substructuring for the p-version
finite element method",
journal = j-COMP-METH-APP-MECH-ENG,
volume = "80",
pages = "117--128",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Mandel:1990:TLD,
author = "Jan Mandel",
title = "Two-level domain decomposition preconditioning for the
p-version finite element version in three dimensions",
journal = j-INT-J-NUM-METH-ENG,
volume = "29",
pages = "1095--1108",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Mansfield:1990:CGS,
author = "Lois Mansfield",
title = "On the Conjugate Gradient Solution of the {Schur}
Complement System Obtained from Domain Decomposition",
journal = j-SIAM-J-NUMER-ANAL,
volume = "27",
number = "6",
pages = "1612--1620",
month = dec,
year = "1990",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0727094",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F35 (65N55)",
MRnumber = "1080341 (91i:65083)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database; MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@Article{Meyer:1990:PPC,
author = "A. Meyer",
title = "A Parallel Preconditioned Conjugate Gradient Method
Using Domain Decomposition and Inexact Solvers on Each
Subdomain",
journal = j-COMPUTING,
volume = "45",
number = "3",
pages = "217--234",
year = "1990",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02250634",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65N55 (65F35)",
MRnumber = "1080792 (91i:65192)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database; OCLC Contents1st database",
acknowledgement = ack-nhfb,
affiliation = "Acad of Science GDR",
affiliationaddress = "Chemnitz, Germany",
classification = "723; 921",
fjournal = "Computing. Archives for Scientific Computing",
journalabr = "Computing (Vienna/New York)",
keywords = "Computer Systems Programming--Multiprocessing
Programs; Conjugate Gradient Methods; Domain
Decomposition; Iterative Solvers; Mathematical
Techniques",
}
@Article{Morandi:1990:CMI,
author = "R. Morandi and A. Sestini",
title = "{Cray Y-MP\slash 432} implementation of a domain
decomposition method",
journal = j-SUPERCOMPUTER,
volume = "7",
number = "6",
pages = "27--33",
month = nov,
year = "1990",
CODEN = "SPCOEL",
ISSN = "0168-7875",
bibdate = "Wed Mar 18 08:37:01 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/supercom.bib",
acknowledgement = ack-nhfb,
affiliation = "Dipartimento di Energetica, Firenze Univ., Italy",
classification = "C4170 (Differential equations)",
corpsource = "Dipartimento di Energetica, Firenze Univ., Italy",
keywords = "Cray Y-MP/432; domain decomposition; elliptic partial
differential equations; large sparse linear systems;
microtasking; parallel algorithms; partial differential
equations",
pubcountry = "Netherlands",
treatment = "P Practical",
}
@Book{Nepomnyashchikh:1990:MRO,
author = "S. V. Nepomnyashchikh",
title = "Metod razdeleniya oblasti dlya ellipticheskikh zadach
s razryvnymi koeffitsientami",
volume = "891",
publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "21",
year = "1990",
MRclass = "65N55",
MRnumber = "1086627 (92a:65332)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "With an English summary",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@TechReport{Neta:1990:DDM,
author = "B. Neta and N. Okamoto",
title = "On Domain Decomposition Methods for Solving Partial
Differential Equations",
number = "NPS-MA-90-004",
institution = inst-MATH-NPS,
address = inst-MATH-NPS:adr,
year = "1990",
bibdate = "Fri Nov 11 14:50:24 MST 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/n/neta-beny.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/neta-beny.bib",
acknowledgement = ack-nhfb,
}
@Article{Oswald:1990:DNS,
author = "Peter Oswald",
title = "On the degree of nonlinear spline approximation in
{Besov-Sobolev} spaces",
journal = j-APP-THEORY,
volume = "61",
number = "2",
pages = "131--157",
year = "1990",
MRclass = "41A15 (41A25)",
MRnumber = "91c:41030",
MRreviewer = "G{\"u}nther N{\"u}rnberger",
bibdate = "Fri Oct 23 19:07:40 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Oswald:1990:FSR,
author = "Peter Oswald",
title = "On function spaces related to finite element
approximation theory",
journal = j-Z-ANA-ANW,
volume = "9",
number = "1",
pages = "43--64",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Papamichael:1990:NPD,
author = "N. Papamichael and N. S. Stylianopoulos",
booktitle = "{Computational methods and function theory
(Valpara{\'\i} so, 1989)}",
title = "On the numerical performance of a domain decomposition
method for conformal mapping",
volume = "1435",
publisher = pub-SV,
address = pub-SV:adr,
pages = "155--169",
year = "1990",
DOI = "https://doi.org/10.1007/BFb0087905",
MRclass = "30C30",
MRnumber = "1071770 (91k:30016)",
MRreviewer = "D. Gaier",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Math.",
acknowledgement = ack-nhfb,
}
@Article{Perkins:1990:DDM,
author = "A. Louise Perkins and Garry Rodrigue",
title = "A domain decomposition method for solving a
two-dimensional viscous {Burgers}' equation",
journal = j-APPL-NUM-MATH,
volume = "6",
number = "4",
pages = "329--340",
month = may,
year = "1990",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65P05 (65N55 76D05 76M20)",
MRnumber = "91h:65209",
bibdate = "Sat Feb 8 10:09:54 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Phillips:1990:SDD,
author = "Timothy N. Phillips",
booktitle = "{Spectral and high order methods for partial
differential equations (Como, 1989)}",
title = "Spectral domain decomposition techniques for viscous
incompressible flows",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "389--395",
year = "1990",
MRclass = "65M70 (65M55 76A05 76D05 76M25)",
MRnumber = "1180578",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Quarteroni:1990:DDG,
author = "Alfio Quarteroni and Alberto Valli",
booktitle = "{Proceedings of the Third European Conference on
Mathematics in Industry (Glasgow, 1988)}",
title = "Domain decomposition for a generalized {Stokes}
problem",
volume = "5",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "59--74",
year = "1990",
MRclass = "65N55 (35Q30 76D07 76M25)",
MRnumber = "1076426 (91k:65155)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "European Consort. Math. Indust.",
acknowledgement = ack-nhfb,
}
@Article{Quarteroni:1990:DDM,
author = "Alfio Quarteroni",
title = "Domain Decomposition Methods for Systems of
Conservation Laws: Spectral Collocation
Approximations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "11",
number = "6",
pages = "1029--1052",
month = nov,
year = "1990",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0911058",
ISSN = "0196-5204",
MRclass = "65N55 (65M55 65M70 65N35)",
MRnumber = "1068495 (91k:65156)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis)",
corpsource = "Dipartimento di Matematica, Univ. Cattolica, Brescia,
Italy",
fjournal = "Society for Industrial and Applied Mathematics.
Journal on Scientific and Statistical Computing",
keywords = "conservation laws; convergence analysis; convergence
of numerical methods; difference equations; domain
decomposition; error-reduction factor; finite
difference schemes; hyperbolic systems;
iteration-by-subdomain procedure; iterative methods;
nonlinear problem; spectral collocation
approximations",
treatment = "T Theoretical or Mathematical",
}
@Article{Shao:1990:SDD,
author = "Jian Ping Shao",
title = "A symmetric domain decomposition method based on the
symmetrization principle",
journal = "Math. Appl. (Wuhan)",
volume = "3",
number = "2",
pages = "6--11",
year = "1990",
ISSN = "1001-9847",
MRclass = "65L60 (65N55)",
MRnumber = "1073312 (91i:65143)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Applicata. Yingyong Shuxue",
}
@PhdThesis{Smith:1990:DDAa,
author = "Barry F. Smith",
title = "Domain Decomposition Algorithms for the Partial
Differential Equations of Linear Elasticity",
school = "Courant Institute of Mathematical Sciences",
month = sep,
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Tech. Rep. 517, Department of Computer Science,
Courant Institute",
}
@Article{Smith:1990:DDAb,
author = "Barry F. Smith and Olof B. Widlund",
title = "A Domain Decomposition Algorithm Using a Hierarchical
Basis",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "11",
number = "6",
pages = "1212--1220",
month = nov,
year = "1990",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0911069",
ISSN = "0196-5204",
MRclass = "65F35 (65N55)",
MRnumber = "1068505 (91m:65125)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA",
fjournal = "Society for Industrial and Applied Mathematics.
Journal on Scientific and Statistical Computing",
keywords = "coarsest mesh; conjugate gradient methods; domain
decomposition algorithm; elliptic finite element
problems; finite element analysis; hierarchical basis;
linear algebra; multigrid method; neighboring
subregions; preconditioned conjugate gradient methods;
preconditioner",
treatment = "T Theoretical or Mathematical",
}
@Article{Vabishchevich:1990:IMD,
author = "P. N. Vabishchevich",
title = "Iterative methods of domain decomposition with overlap
for elliptic boundary value problems",
journal = "Differentsial\cprime nye Uravneniya",
volume = "26",
number = "7",
pages = "1197--1207, 1286",
year = "1990",
ISSN = "0374-0641",
MRclass = "65N55",
MRnumber = "1072216 (91h:65194)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Differentsial\cprime nye Uravneniya",
}
@InCollection{Vasilevskii:1990:DDM,
author = "Yu. V. Vasilevski{\u\i}",
booktitle = "{Numerical methods and software (Russian)}",
title = "The domain decomposition method with approximate
solution of subproblems",
publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.",
address = "Moscow, Russia",
pages = "23--29",
year = "1990",
MRclass = "65N55 (65N30)",
MRnumber = "1108845 (92c:65151)",
MRreviewer = "Lutz Angermann",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Yserentant:1990:TPB,
author = "Harry Yserentant",
title = "Two preconditioners based on the multi-level splitting
of finite element spaces",
journal = j-NUM-MATH,
volume = "58",
number = "2",
pages = "163--184",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Agoshkov:1991:DDM,
author = "V. I. Agoshkov",
booktitle = "{Computational processes and systems, No.\ 8
(Russian)}",
title = "Domain decomposition methods in problems of
mathematical physics",
publisher = "Nauka",
address = "Moscow, Russia",
pages = "3--51",
year = "1991",
MRclass = "65M55 (65M60 65R20 76M10 76Rxx)",
MRnumber = "1151879 (92m:65115)",
MRreviewer = "G. W. Hedstrom",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Babuska:1991:EPV,
author = "I. Babu{\v{s}}ka and A. Craig and J. Mandel and J.
Pitk{\"a}ranta",
title = "Efficient preconditioning for the {$p$}-version finite
element method in two dimensions",
journal = j-SIAM-J-NUMER-ANAL,
volume = "28",
number = "3",
pages = "624--661",
month = jun,
year = "1991",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N30 (65Y05)",
MRnumber = "92a:65282",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{BacchelliMontefusco:1991:DDM,
author = "L. {Bacchelli Montefusco} and C. Guerrini",
title = "A domain decomposition method for scattered data
approximation on a distributed memory multiprocessor",
journal = j-PARALLEL-COMPUTING,
volume = "17",
number = "2--3",
pages = "253--263",
month = jun,
year = "1991",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Mon Apr 14 11:08:33 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C7310 (Mathematics)",
corpsource = "Dept. of Math., Messina Univ., Italy",
keywords = "algorithms; approximation theory; coarse; distributed
memory multiprocessor; domain decomposition method;
dynamic arithmetic load-balance; grained parallel
algorithm; Hypercube iPSC/2; mathematics computing;
parallel; performance; scattered data approximation;
sequential algorithm; sequential algorithms; weight
functions",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InCollection{Bjorstad:1991:PDD,
author = "Petter E. Bj{\o}rstad and Randi Moe and Morten
Skogen",
booktitle = "{Parallel algorithms for partial differential
equations (Kiel, 1990)}",
title = "Parallel domain decomposition and iterative refinement
algorithms",
volume = "31",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "28--46",
year = "1991",
MRclass = "65N55 (65Y05)",
MRnumber = "1167866",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@Article{Bjorstad:1991:SSO,
author = "Petter E. Bj{\o}rstad and Jan Mandel",
title = "On the Spectra of Sums of Orthogonal Projections with
Applications to Parallel Computing",
journal = j-BIT,
volume = "31",
number = "1",
pages = "76--88",
year = "1991",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65J10 (35P05 65Y05)",
MRnumber = "91m:65157",
MRreviewer = "I. Norman Katz",
bibdate = "Fri Nov 13 07:00:34 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
acknowledgement = ack-nhfb,
}
@Article{Bramble:1991:CEM,
author = "James H. Bramble and Joseph E. Pasciak and Jun Ping
Wang and Jinchao Xu",
title = "Convergence estimates for multigrid algorithms without
regularity assumptions",
journal = j-MATH-COMPUT,
volume = "57",
number = "195",
pages = "23--45",
month = jul,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65J10 (65N55)",
MRnumber = "91m:65158",
MRreviewer = "Rong Hua Li",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290F (Interpolation
and function approximation); C4130 (Interpolation and
function approximation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "approximation; approximation theory; assumption;
coefficients; convergence of numerical methods;
convergence rate estimates; differential equations;
irregular; large jumps coefficients; multigrid
refinement applications; multigrip algorithms; nodes;
rate of convergence estimates; smooth; symmetric
positive definite problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Bramble:1991:CEP,
author = "James H. Bramble and Joseph E. Pasciak and Jun Ping
Wang and Jinchao Xu",
title = "Convergence estimates for product iterative methods
with applications to domain decomposition",
journal = j-MATH-COMPUT,
volume = "57",
number = "195",
pages = "1--21",
month = jul,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65J10 (65M55 65N22 65N55)",
MRnumber = "92d:65094",
MRreviewer = "I. P. Gavrilyuk",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "approximation; approximation theory; convergence
estimates; convergence of numerical methods;
decomposition; domain; error-reducing operator; finite
element; iterative methods; norm-reduction estimates;
orthogonal projections; product iterative methods;
Schwarz algorithms; second-order elliptic problems;
subspaces; symmetric positive definite problems",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Bramble:1991:ISN,
author = "James H. Bramble and Zbigniew Leyk and Joseph E.
Pasciak",
title = "Iterative Schemes for Non-symmetric and Indefinite
Elliptic Boundary Value Problems",
institution = "Cornell University",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Bramble:1991:NEM,
author = "James H. Bramble and Joseph E. Pasciak",
title = "New Estimates for Multilevel Algorithms Including the
{V}-cycle",
institution = "Cornell University",
month = aug,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Bramble:1991:SEW,
author = "James H. Bramble and Jinchao Xu",
title = "Some Estimates for a Weighted ${L}^2$ Projection",
journal = j-MATH-COMPUT,
volume = "56",
number = "194",
pages = "463--476",
month = apr,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N30 (65N15 65N55)",
MRnumber = "91k:65140",
MRreviewer = "A. Quarteroni",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290B (Error
analysis in numerical methods); C4170 (Differential
equations); C4110 (Error analysis in numerical
methods)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "boundary-value problems; domain decomposition method;
elliptic boundary problems; error analysis; error
estimates; estimates; jump discontinuities; multigrid
method; multilevel preconditioner; optimal; weighted
L/sup 2/ projection",
treatment = "T Theoretical or Mathematical",
}
@Article{Bramley:1991:DDP,
author = "R. Bramley and A. Sameh",
title = "Domain decomposition for parallel row projection
algorithms",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "4--5",
pages = "303--315",
month = nov,
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90071-7",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65Y05 (65F10 65N55)",
MRnumber = "1136829 (92g:65152)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
}
@TechReport{Bramley:1991:SOD,
author = "Randall Barry Bramley and James Bordner",
title = "Sequential optimization and data distribution for
{ARC2D} on the {Cedar} hierarchical multiprocessor",
type = "Technical Report",
number = "CSRD 1128",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "48",
month = sep,
year = "1991",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "The Fortran code ARC2D from the Perfect Benchmark
Suite is described, and its optimization for a
hierarchical shared memory multiprocessor (Cedar) is
presented. First sequential optimizations are
described, which reduce the number of floating point
operations by 33\% and improve data locality. For the
Cedar version, the data is distributed among the
cluster memories, instead of placing the data into
global memory and simply using Cedar as a 32 processor
shared memory machine. The approach is commonly called
domain decomposition but is more accurately described
as data decomposition or data distribution.",
acknowledgement = ack-nhfb,
annote = "James Bordner given as second author on P. 1.
Supported in part by the U.S. Department of Energy.
Supported in part by the National Science Foundation.
Supported in part by the U.S. Air Force Office of
Scientific Research. Supported in part by AT\&T.
Supported in part by Digital Equipment Corporation.",
keywords = "Distributed data bases; Multiprocessors; Sequential
machine theory",
}
@InCollection{Bruch:1991:MDD,
author = "J. C. {Bruch, Jr.}",
booktitle = "{Computational modelling of free and moving boundary
problems, Vol.\ 1 (Southampton, 1991)}",
title = "Multisplitting and domain decomposition techniques
applied to free surface flow through porous media",
publisher = "Comput. Mech.",
address = "Southampton, UK",
pages = "3--20",
year = "1991",
MRclass = "76M25 (65N55 76S05)",
MRnumber = "1162746",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Cai:1991:ASA,
author = "Xiao-Chuan Cai",
title = "Additive {Schwarz} Algorithms for Parabolic
Convection-Diffusion Equations",
journal = j-NUM-MATH,
volume = "60",
number = "1",
pages = "41--61",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Carlenzoli:1991:DDA,
author = "Claudio Carlenzoli and Paola Zanolli",
title = "Domain decomposition approximation to a generalized
{Stokes} problem by spectral methods",
journal = j-MATH-MODELS-METHODS-APPL-SCI,
volume = "1",
number = "4",
pages = "501--515",
year = "1991",
CODEN = "MMMSEU",
DOI = "https://doi.org/10.1142/S0218202591000253",
ISSN = "0218-2025",
MRclass = "65N55 (65N35 76D07 76M25)",
MRnumber = "1144185 (92i:65182)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Models \& Methods in Applied Sciences",
}
@InProceedings{Chan:1991:APT,
author = "Tony F. Chan and Tarek P. Mathew",
editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "An Application of the Probing Technique to the Vertex
Space Method in Domain Decomposition",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Chan:1991:DDI,
author = "Tony F. Chan and Wei Nan E and Jia Chang Sun",
title = "Domain decomposition interface preconditioners for
fourth-order elliptic problems",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "4--5",
pages = "317--331",
month = nov,
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90072-8",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55",
MRnumber = "1136830 (92g:65125)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
}
@Article{Chan:1991:EDD,
author = "Tony F. Chan and Thomas Y. Hou",
title = "Eigendecomposition of Domain Decomposition Interface
Operators for Constant Coefficient Elliptic Problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "12",
number = "6",
pages = "1471--1479",
month = nov,
year = "1991",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N22 (65F10)",
MRnumber = "92f:65129",
bibdate = "Sat Oct 24 13:20:45 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
}
@Article{Chan:1991:GRC,
author = "Tony F. Chan and Thomas Y. Hou and P. L. Lions",
title = "Geometry Related Convergence Results for Domain
Decomposition Algorithms",
journal = j-SIAM-J-NUMER-ANAL,
volume = "28",
number = "2",
pages = "378--391",
month = apr,
year = "1991",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N55 (65F30)",
MRnumber = "92a:65325",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@InCollection{Cottet:1991:PGD,
author = "G.-H. Cottet",
booktitle = "{Vortex dynamics and vortex methods (Seattle, WA,
1990)}",
title = "Particle-grid domain decomposition methods for the
{Navier--Stokes} equations in exterior domains",
volume = "28",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "103--117",
year = "1991",
MRclass = "76M25 (65N55)",
MRnumber = "1146470",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lectures in Appl. Math.",
acknowledgement = ack-nhfb,
}
@InProceedings{Cowsar:1991:PDDb,
author = "Lawrence C. Cowsar and Mary F. Wheeler",
editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Proceedings of the Fourth International Symposium on
Domain Decomposition Methods for Partial Differential
Equations",
title = "Parallel Domain Decomposition Method for Mixed Finite
Elements for Elliptic Partial Differential Equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed Aug 31 09:33:27 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cowsar-lawrence-charles.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/cowsar-lawrence-c.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Dannevik:1991:CMM,
author = "W. Dannevik",
title = "Computing modeling in a {MIMD} environment",
crossref = "IEEE:1991:PSA",
pages = "678--??",
year = "1991",
bibdate = "Wed Apr 15 16:28:01 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/supercomputing91.bib",
acknowledgement = ack-nhfb,
classification = "A9210D (Dynamics of the deep ocean); A9210F
(Dynamics of the upper ocean); A9260B (General
circulation); A9260S (Climatology); A9365 (Data
acquisition, processing and storage); C6110P (Parallel
programming); C7340 (Geophysics)",
corpsource = "Lawrence Livermore Nat. Lab., CA, USA",
keywords = "1D domain decomposition; 2D decomposition; atmospheric
circulation model; atmospheric movements; BBN TC2000
MIMD system; climate model numerical algorithms;
climatology; data structure definition;
distributed-memory programming models; finite
difference models; general circulation models;
geophysics computing; load-balancing; message-passing
paradigms; MIMD environment; oceanography; parallel
efficiency; parallel processing; Semtner-Chervin ocean
circulation model; shared-memory programming model;
spatial resolution; time-advance algorithm selection",
sponsororg = "IEEE; ACM",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Dawson:1991:DDM,
author = "Clint N. Dawson and Qiang Du",
editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "A Domain Decomposition Method for Parabolic Equations
Based on Finite Elements",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Dawson:1991:FDD,
author = "Clint N. Dawson and Qiang Du and Todd F. Dupont",
title = "A finite difference domain decomposition algorithm for
numerical solution of the heat equation",
journal = j-MATH-COMPUT,
volume = "57",
number = "195",
pages = "63--71",
month = jul,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N06 (65N55)",
MRnumber = "91m:65254",
MRreviewer = "Zhong Xiong Pan",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A4410 (Heat conduction (models, phenomenological
description)); A0260 (Numerical approximation and
analysis); A0230 (Function theory, analysis)",
corpsource = "Dept. of Math., Chicago Univ., IL, USA",
keywords = "backward differencing; difference domain decomposition
algorithm; difference equations; discretization;
finite; heat; heat equation; interior; maximum norm
error estimates; numerical; one space dimension;
parameters; solution; time steps; two space dimensions;
values",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{DeRoeck:1991:ATL,
author = "Yann-Herv{\'e} {De Roeck} and Patrick Le Tallec",
editor = "Roland Glowinski and Yuri Kuznetsov and G{\'e}rard
Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Analysis and Test of a Local Domain Decomposition
Preconditioner",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@PhdThesis{DeRoeck:1991:ROM,
author = "Yann-Herv{\'e} {De Roeck}",
title = "{R}{\'e}solution sur Ordinateurs Multi-Processeurs de
Probl{\`e}me d'{\'E}lasticit{\'e} par
{D}{\'e}composition de Domaines. ({French})
[{Multiprocessor}-computer resolution of the elasticity
problem by domain decomposition]",
school = "Universit{\'e} Paris IX Daupine",
address = "Paris, France",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
language = "French",
}
@Book{Despres:1991:MDD,
author = "Bruno Despr{\'e}s",
title = "{M}{\'e}thodes de d{\'e}composition de domaine pour
les probl{\`e}mes de propagation d'ondes en r{\'e}gime
harmonique. {Le} th{\'e}or{\`e}me de {Borg} pour
l'{\'e}quation de {Hill} vectorielle. ({French})
[{Domain}-decomposition methods for the problem of wave
propagation in a harmonic regime. {Borg}'s theorem for
the vector {Hill} equation]",
publisher = "Institut National de Recherche en Informatique et en
Automatique (INRIA)",
address = "Rocquencourt, France",
pages = "vi + 233",
year = "1991",
ISBN = "2-7261-0706-0",
ISBN-13 = "978-2-7261-0706-5",
MRclass = "65N55 (00B15 34A55 34L05 78A40)",
MRnumber = "1291197 (95f:65215)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Th{\`e}se, Universit{\'e} de Paris IX (Dauphine),
Paris, 1991",
acknowledgement = ack-nhfb,
language = "French",
}
@PhdThesis{Donato:1991:IMS,
author = "June M. Donato",
title = "Iterative Methods for Scalar and Coupled Systems of
Elliptic Equations",
school = "Department of Mathematics, UCLA",
month = sep,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "CAM 91-20",
}
@Article{Dorr:1991:DDP,
author = "Milo R. Dorr",
title = "A domain decomposition preconditioner with reduced
rank interdomain coupling",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "4--5",
pages = "333--352",
month = nov,
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90073-9",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55 (65N30)",
MRnumber = "1136831 (92g:65127)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
}
@Article{Douglas:1991:TAD,
author = "Craig C. Douglas",
title = "A tupleware approach to domain decomposition methods",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "4--5",
pages = "353--373",
month = nov,
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90074-A",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55 (65Y05)",
MRnumber = "1136832 (92g:65128)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
}
@InProceedings{Dryja:1991:MAM,
author = "Maksymilian Dryja and Olof B. Widlund",
editor = "Wolfgang Hackbusch",
booktitle = "Parallel Algorithms for Partial Differential
Equations, Proceedings of the Sixth GAMM-Seminar, Kiel,
January 19--21, 1990",
title = "Multilevel Additive Methods for Elliptic Finite
Element Problems",
volume = "31",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "58--69",
year = "1991",
MRclass = "65N55 (65N30)",
MRnumber = "1167868 (93b:65188)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@InProceedings{Dryja:1991:SMP,
author = "Maksymilian Dryja",
editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Substructuring Methods for Parabolic Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Ewing:1991:ADD,
author = "Richard E. Ewing",
title = "Application of domain decomposition techniques in
large-scale fluid flow problems",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "4--5",
pages = "375--388",
month = nov,
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90075-B",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "76M25 (76S05 76T05)",
MRnumber = "1136833 (92j:76071)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
affiliation = "Univ of Wyoming",
affiliationaddress = "Laramie, WY, USA",
classification = "631; 723; 921; 931",
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journalabr = "Appl Numer Math",
keywords = "Computers, Supercomputer --- Applications; Domain
Decomposition Techniques; Flow Of Fluids; Flow Of
Fluids --- Multiphase; Fluid Dynamics --- Computer
Simulation; Large Scale Fluid Flow Problems; Local Grid
Refinement; Mathematical Models; Mathematical
Techniques --- Algorithms; Mathematical Techniques ---
Finite Difference Method; Numerical Simulation;
Preconditioned Gradient Type Iterative Techniques;
Stand Alone Iterative Methods",
}
@TechReport{Ewing:1991:ASA,
author = "Richard E. Ewing and Junping Wang",
title = "Analysis of the {Schwarz} Algorithm for Mixed Finite
Element Methods",
institution = "University of Wyoming",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InBook{Freund:1991:ISL,
author = "R. Freund and G. H. Golub and N. Nachtigal",
title = "Iterative Solution of Linear Systems",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "57--100",
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
series = "Acta Numerica 1992",
}
@InCollection{Georgiev:1991:DDM,
author = "K. Georgiev and S. Margenov",
booktitle = "{Computer arithmetic, scientific computation and
mathematical modelling (Albena, 1990)}",
title = "On domain decomposition methods for problems with
discontinuous coefficients",
volume = "12",
publisher = "Baltzer",
address = "Basel, Switzerland",
pages = "281--292",
year = "1991",
MRclass = "65N55 (65F10 65N22 65N30)",
MRnumber = "1189148",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "IMACS Ann. Comput. Appl. Math.",
acknowledgement = ack-nhfb,
}
@Article{Goovaerts:1991:ESD,
author = "D. Goovaerts and T. F. Chan and Robert Piessens",
title = "The eigenvalue spectrum of domain decomposed
preconditioners",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "4--5",
pages = "389--410",
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90076-C",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55 (65F15)",
MRnumber = "1136834 (92g:65130)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
}
@InProceedings{Gropp:1991:PDD,
author = "William D. Gropp and David E. Keyes",
editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Parallel Domain Decomposition and the Solution of
Nonlinear Systems of Equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Haase:1991:ADDa,
author = "G. Haase and U. Langer and A. Meyer",
title = "The Approximate {Dirichlet} Domain Decomposition
Method. {Part I}: An Algebraic Approach",
journal = j-COMPUTING,
volume = "47",
number = "2",
pages = "137--151",
year = "1991",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02253431",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65N55 (65F10 65N22)",
MRnumber = "1139433 (93e:65146a)",
MRreviewer = "Jan Mandel",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database; OCLC Contents1st database",
acknowledgement = ack-nhfb,
affiliation = "Technical Univ of Chemnitz",
affiliationaddress = "Chemnitz, Germany",
classification = "723; 921",
fjournal = "Computing. Archives for Scientific Computing",
journalabr = "Comput Vienna New York",
keywords = "Computer Systems Programming --- Multiprocessing
Programs; Conjugate Gradient Methods; Dirichlet
Problems; Domain Decomposition; Mathematical
Techniques; Mathematical Techniques --- Boundary Value
Problems",
}
@Article{Haase:1991:ADDb,
author = "G. Haase and U. Langer and A. Meyer",
title = "The Approximate {Dirichlet} Domain Decomposition
Method. {Part II}: Applications to $2$nd-order Elliptic
{B.V.P.s}",
journal = j-COMPUTING,
volume = "47",
number = "2",
pages = "153--167",
year = "1991",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02253432",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65N55 (65F10 65N22)",
MRnumber = "1139434 (93e:65146b)",
MRreviewer = "Jan Mandel",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database; OCLC Contents1st database",
acknowledgement = ack-nhfb,
affiliation = "Technical Univ of Chemnitz",
affiliationaddress = "Chemnitz, Germany",
classification = "723; 921",
fjournal = "Computing. Archives for Scientific Computing",
journalabr = "Comput Vienna New York",
keywords = "Computer Systems Programming --- Multiprocessing
Programs; Domain Decomposition; Mathematical
Techniques; Mathematical Techniques --- Boundary Value
Problems",
}
@InCollection{Haase:1991:UMP,
author = "G. Haase and U. Langer",
booktitle = "{Parallel algorithms for partial differential
equations (Kiel, 1990)}",
title = "On the use of multigrid preconditioners in the domain
decomposition method",
volume = "31",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "101--110",
year = "1991",
MRclass = "65N55 (65F35 65N30)",
MRnumber = "1167871",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@TechReport{Hackbusch:1991:FDM,
author = "Wolfgang Hackbusch",
title = "The Frequency Decomposition Multi-Grid Method, Part
{II}: Convergence Analysis Based on the Additive
{Schwarz} Method",
institution = "Christian-Albrecht-Universit\H{a}t, Kiel, Germany",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Hu:1991:PSE,
author = "Xian Cheng Hu and De Lin Chu",
title = "A preconditioner for solving elliptic problems based
on domain decomposition",
journal = "J. Tsinghua Univ.",
volume = "31",
number = "6",
pages = "12--19",
year = "1991",
CODEN = "QDXKE8",
ISSN = "1000-0054",
MRclass = "65N55",
MRnumber = "1169004 (93d:65107)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Tsinghua University. Science and
Technology. Qinghua Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Ilin:1991:AIF,
author = "V. P. Il{\cprime}in",
title = "Application of incomplete factorizations in domain
decomposition methods",
journal = "Soviet J. Numer. Anal. Math. Modelling",
volume = "6",
number = "4",
pages = "299--314",
year = "1991",
ISSN = "0169-2895",
MRclass = "65N55 (65N12)",
MRnumber = "1136530 (92h:65184)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Soviet Journal of Numerical Analysis and Mathematical
Modelling",
}
@Article{Jung:1991:AMM,
author = "Michael Jung and Ulrich Langer",
title = "Applications of multilevel methods to practical
problems",
journal = "Surveys Math. Indust.",
volume = "1",
number = "3",
pages = "217--257",
year = "1991",
CODEN = "SMINER",
ISSN = "0938-1953",
MRclass = "65N55 (65N30 65Y05 73V05 78-08)",
MRnumber = "1144247 (92i:65185)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Surveys on Mathematics for Industry",
}
@Article{Kamenetskii:1991:BEP,
author = "D. S. Kamenetski{\u\i} and V. S.
Ryaben{\cprime}ki{\u\i} and S. V. Tsynkov",
title = "Boundary equations with projectors in composite
domains",
journal = "Akad. Nauk SSSR Inst. Prikl. Mat. Preprint",
volume = "112",
number = "??",
pages = "20",
year = "1991",
MRclass = "65N55",
MRnumber = "1278545 (94m:65187)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Akademiya Nauk SSSR. Institut Prikladno\u\i\
Matematiki. Preprint",
}
@Article{Kamenetskii:1991:DAB,
author = "D. S. Kamenetski{\u\i} and V. S.
Ryaben{\cprime}ki{\u\i} and S. V. Tsynkov",
title = "Decomposition algorithms based on boundary equations
with projectors",
journal = "Akad. Nauk SSSR Inst. Prikl. Mat. Preprint",
volume = "113",
number = "??",
pages = "23",
year = "1991",
MRclass = "65N55",
MRnumber = "1278546 (95e:65117)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Akademiya Nauk SSSR. Institut Prikladno\u\i\
Matematiki. Preprint",
}
@InCollection{Kiss:1991:PDD,
author = "B{\'e}la Kiss and Gy{\H{o}}z{\H{o}} Moln{\'a}rka",
booktitle = "{Parallel algorithms for partial differential
equations (Kiel, 1990)}",
title = "A preconditioned domain decomposition algorithm for
the solution of the elliptic {Neumann} problem",
volume = "31",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "129--139",
year = "1991",
MRclass = "65N55 (65F35 65N30 65Y05)",
MRnumber = "1167874 (93a:65172)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@InCollection{Kojima:1991:IMF,
author = "Fumio Kojima",
booktitle = "{Computation and control, II (Bozeman, MT, 1990)}",
title = "Identification of microscopic flaws arising in thermal
tomography by domain decomposition method",
volume = "11",
publisher = pub-BIRKHAUSER-BOSTON,
address = pub-BIRKHAUSER-BOSTON:adr,
pages = "237--245",
year = "1991",
MRclass = "93B30",
MRnumber = "1140025",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Progr. Systems Control Theory",
acknowledgement = ack-nhfb,
}
@InCollection{Kolodziej:1991:DDB,
author = "Jan A. Ko{\l}odziej and Grzegorz Musielak",
booktitle = "{Parallel algorithms for partial differential
equations (Kiel, 1990)}",
title = "Domain decomposition in boundary collocation method",
volume = "31",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "140--156",
year = "1991",
MRclass = "65N55 (65N35)",
MRnumber = "1167875",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@Article{Kuznetsov:1991:MDD,
author = "S. B. Kuznetsov",
title = "A method of domain decomposition in {$3$-D} problems
of magnetostatics",
journal = "EDF Bull. Direction {\'E}tudes Rech. S{\'e}r. C Math.
Inform.",
volume = "4",
number = "??",
pages = "iii + 17--22",
year = "1991",
ISSN = "0013-4511",
MRclass = "35Q60 (78-08 78A30)",
MRnumber = "1150858",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "{\'E}lectricit{\'e} de France. Bulletin de la
Direction des {\'E}tudes et Recherches. S{\'e}rie C.
Math{\'e}matiques. Informatique",
}
@InProceedings{Kuznetsov:1991:ODD,
author = "Yuri A. Kuznetsov",
editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Overlapping Domain Decomposition Methods for
{FE}-Problems with Elliptic Singular Perturbed
Operators",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Lu:1991:PAV,
author = "Tao L{\"u} and Chin Bo Liem and Tsi Min Shih",
title = "Parallel algorithms for variational inequalities based
on domain decomposition",
journal = "Systems Sci. Math. Sci.",
volume = "4",
number = "4",
pages = "341--348",
year = "1991",
CODEN = "SMASE2",
ISSN = "1000-9590",
MRclass = "49J40 (47H19 49M27 65K10 65Y05)",
MRnumber = "1142773 (93b:49010)",
MRreviewer = "Ya. I. Al{\cprime}ber",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Systems Science and Mathematical Sciences",
}
@Article{Mandel:1991:DDP,
author = "Jan Mandel and G. Scott Lett",
title = "Domain decomposition preconditioning for {$p$}-version
finite elements with high aspect ratios",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "4--5",
pages = "411--425",
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90077-D",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55 (65N30 65Y05)",
MRnumber = "1136835 (93c:65154)",
MRreviewer = "Lutz Tobiska",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
}
@Book{Marchuk:1991:VPS,
editor = "G. I. Marchuk",
title = "Vychislitelnye protsessy i sistemy. {Vyp}. 8",
publisher = "Nauka",
address = "Moscow, Russia",
pages = "382",
year = "1991",
ISBN = "5-02-014291-3",
ISBN-13 = "978-5-02-014291-6",
MRclass = "65-06",
MRnumber = "1151878 (92i:65008)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Meddahi:1991:DDM,
author = "S. Meddahi and F. Gaspar",
booktitle = "{Proceedings of the XII Congress on Differential
Equations and Applications/II Congress on Applied
Mathematics (Spanish) (Oviedo, 1991)}",
title = "A domain-decomposition method for a linear parabolic
problem",
publisher = "Universidad de Oviedo",
address = "Oviedo, Spain",
pages = "251--256",
year = "1991",
MRclass = "65N55 (65M55)",
MRnumber = "1202464 (93j:65204)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Meurant:1991:DDM,
author = "G{\'e}rard A. Meurant",
title = "A domain decomposition method for parabolic problems",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "4--5",
pages = "427--441",
month = nov,
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90078-E",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65M55 (65M06)",
MRnumber = "1136836 (93c:65113)",
MRreviewer = "Lutz Tobiska",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
}
@InProceedings{Meurant:1991:NED,
author = "G{\'e}rard A. Meurant",
editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Numerical Experiments with a Domain Decomposition
Method for Parabolic Problems on Parallel Computers",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Miellou:1991:SDM,
author = "J.-C. Miellou and L. Giraud and A. Laouar and P.
Spiteri",
booktitle = "{Progress in partial differential equations: the Metz
surveys}",
title = "Subdomain decomposition methods with overlapping and
asynchronous iterations",
volume = "249",
publisher = "Longman Sci. Tech.",
address = "Harlow, UK",
pages = "166--183",
year = "1991",
MRclass = "65N55",
MRnumber = "1251562 (94h:65125)",
MRreviewer = "Beny Neta",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Pitman Res. Notes Math. Ser.",
acknowledgement = ack-nhfb,
}
@InProceedings{Nepomnyaschikh:1991:ADD,
author = "Sergey V. Nepomnyaschikh",
editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
booktitle = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Application of Domain Decomposition to Elliptic
Problems on with Discontinuous Coefficients",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Nepomnyaschikh:1991:ETC,
author = "Sergey V. Nepomnyaschikh and Olof B. Widlund",
title = "Extension Theorems for the Case of Locally Refined
Meshes",
number = "",
institution = "Dept. of Computer Science, Courant Institute of
Mathematical Sciences",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
}
@Article{NKaoua:1991:SNR,
author = "T. N'Kaoua",
title = "Solution of the nonlinear radiative transfer equations
by a fully implicit matrix {Monte Carlo} method coupled
with the {Rosseland} diffusion equation via domain
decomposition",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "12",
number = "3",
pages = "505--520",
month = may,
year = "1991",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "85A25 (65C05 85-04)",
MRnumber = "91k:85011",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "A0540 (Fluctuation phenomena, random processes, and
Brownian motion); A0560 (Transport processes: theory);
A4440 (Heat radiation)",
corpsource = "Dept. de Math. Appliqu{\'e}es, CEA, Villeneuve
Saint-Georges, France",
keywords = "diffusion; domain decomposition; energy balance
equation; fully implicit matrix Monte Carlo method;
heat transfer; Monte Carlo methods; nonlinear radiative
transfer equations; particle tracking; radiative
transfer; Rosseland diffusion equation",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Oswald:1991:BPP,
author = "Peter Oswald",
title = "On a {BPX}-Preconditioner For {P}1 Elements",
number = "Math./91/2",
institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "(part 2)",
}
@InProceedings{Oswald:1991:DNE,
author = "Peter Oswald",
booktitle = "Proc. Int. Conf. Theory of Functions, Varna 91",
title = "On Discrete Norm Estimates Related to Multilevel
Preconditioners in the Finite Element Method",
publisher = "????",
address = "????",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
}
@TechReport{Oswald:1991:MPA,
author = "Peter Oswald",
title = "On multilevel preconditioners adapted to a variable
coefficient problem",
number = "Math./91/1",
institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Oswald:1991:PDB,
author = "Peter Oswald",
title = "Preconditioners for discretizations of the biharmonic
equation by rectangular finite elements",
institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Oswald:1991:TRM,
author = "Peter Oswald",
title = "Two remarks on multilevel preconditioners",
number = "Math./91/2",
institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "(part 2)",
}
@InCollection{Papadopoulos:1991:DDF,
author = "C. A. Papadopoulos and K.-P. Wang and J. M. Sloss and
J. C. {Bruch, Jr.}",
booktitle = "{Computational modelling of free and moving boundary
problems, Vol.\ 1 (Southampton, 1991)}",
title = "Domain decomposition for free boundary seepage",
publisher = "Comput. Mech.",
address = "Southampton, UK",
pages = "37--48",
year = "1991",
MRclass = "76M25 (65N55 76S05)",
MRnumber = "1162748",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Pasquarelli:1991:DDS,
author = "Franco Pasquarelli",
title = "Domain decomposition for spectral approximation to
{Stokes} equations via divergence-free functions",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "6",
pages = "493--514",
month = dec,
year = "1991",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(91)90111-C",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55 (65N30 65N35 76D07 76M25)",
MRnumber = "1140285 (92i:65188)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
affiliation = "Univ Cattolica",
affiliationaddress = "Brescia, Italy",
classification = "921.6",
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journalabr = "Appl Numer Math",
keywords = "Diversion-Free Functions; Domain Decomposition;
Galerkin Approach; Mathematical Techniques;
Mathematical Techniques --- Function Evaluation;
Numerical Methods; Spectral Approximation; Spectrum
Analysis --- Calculations; Stokes Equations",
}
@TechReport{Pavarino:1991:ASM,
author = "Luca F. Pavarino",
title = "An Additive {Schwarz} Method for the p-version Finite
Element Method",
number = "580",
institution = "Courant Institute of Mathematical Sciences, Department
of Computer Science",
month = sep,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "A revised version has been submitted to Numer. Math.",
}
@Article{Quarteroni:1991:CVI,
author = "A. Quarteroni and G. Sacchi Landriani and A. Valli",
title = "Coupling of viscous and inviscid {Stokes} equations
via a domain decomposition method for finite elements",
journal = j-NUM-MATH,
volume = "59",
number = "8",
pages = "831--859",
month = oct,
year = "1991",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N55 (65N30 76D05 76M10)",
MRnumber = "93b:65190",
MRreviewer = "Charles I. Goldstein",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A4710
(General theory, simulation and other computational
methods); C4170 (Differential equations); C4185 (Finite
element analysis); C7320 (Physics and Chemistry)",
corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy",
keywords = "convergence analysis; convergence of numerical
methods; domain decomposition method; finite element
analysis; finite elements; generalized Stokes problem;
inviscid Stokes equations; iteration-by-subdomain
algorithms; iterative procedure; Navier--Stokes
equations; numerical discretization; physics computing;
stability; viscosity",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Quarteroni:1991:DDP,
author = "Alfio Quarteroni",
title = "Domain decomposition and parallel processing for the
numerical solution of partial differential equations",
journal = "Surveys Math. Indust.",
volume = "1",
number = "1",
pages = "75--118",
year = "1991",
CODEN = "SMINER",
ISSN = "0938-1953",
MRclass = "65N55 (65N30 65Y05 76M25)",
MRnumber = "1133619 (92i:65189)",
MRreviewer = "Timothy Nigel Phillips",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Surveys on Mathematics for Industry",
}
@InCollection{Quarteroni:1991:TAS,
author = "A. Quarteroni and A. Valli",
booktitle = "{Applied and industrial mathematics (Venice, 1989)}",
title = "Theory and application of {Steklov--Poincar{\'e}}
operators for boundary-value problems",
volume = "56",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "179--203",
year = "1991",
MRclass = "35J30 (35Q30 65N55 76D07 76M99)",
MRnumber = "1147198 (92m:35069)",
MRreviewer = "I. Aganovi{\'c}",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Math. Appl.",
acknowledgement = ack-nhfb,
}
@InCollection{Sbosny:1991:DDM,
author = "Hannes Sbosny",
booktitle = "{Multigrid methods: special topics and applications,
II (Bonn, 1990)}",
title = "Domain decomposition methods and parallel multigrid
algorithms",
volume = "189",
publisher = "Gesellsch. Math. Datenverarbeitung",
address = "St. Augustin, Switzerland",
pages = "297--308",
year = "1991",
MRclass = "65N55 (65Y05)",
MRnumber = "1142834",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "GMD-Stud.",
acknowledgement = ack-nhfb,
}
@InCollection{Sbosny:1991:PMU,
author = "Hannes Sbosny and Kristian Witsch",
booktitle = "{Parallel algorithms for partial differential
equations (Kiel, 1990)}",
title = "Parallel multigrid using domain decomposition",
volume = "31",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "200--215",
year = "1991",
MRclass = "65N55 (65N30 65Y05)",
MRnumber = "1167879 (93a:65173)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@Article{Scroggs:1991:PMD,
author = "Jeffrey S. Scroggs",
title = "A physically motivated domain decomposition for
singularly perturbed equations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "28",
number = "1",
pages = "168--178",
month = feb,
year = "1991",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65M55 (65N55 76H05 76M25)",
MRnumber = "91m:65245",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Smith:1991:DDA,
author = "Barry F. Smith",
title = "A Domain Decomposition Algorithm for Elliptic Problems
in Three Dimensions",
journal = j-NUM-MATH,
volume = "60",
number = "2",
pages = "219--234",
month = nov,
year = "1991",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01385722",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N55 (65F10)",
MRnumber = "1133580 (92m:65159)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "C4185 (Finite element analysis)",
corpsource = "Argonne Nat. Lab., IL, USA",
fjournal = "Numerische Mathematik",
keyword = "domain decomposition, wirebasket methods, iterative
substructuring",
keywords = "domain decomposition; elliptic problems; finite
element analysis; iterative methods; potential
parallelism; substructuring algorithm; three
dimensions",
treatment = "T Theoretical or Mathematical",
}
@Book{Szabo:1991:FEA,
author = "Barna Szab{\'o} and Ivo Babu{\v{s}}ka",
title = "Finite Element Analysis",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xv + 368",
year = "1991",
ISBN = "0-471-50273-1",
ISBN-13 = "978-0-471-50273-9",
LCCN = "TA347.F5 S98 1991",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Tallec:1991:DDM,
author = "Patrick Le Tallec and Yann-Herv{\'e} De Roeck and
Marina Vidrascu",
title = "Domain-decomposition methods for large linearly
elliptic three dimensional problems",
journal = j-COMP-APPL-MATH,
volume = "34",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Elsevier Science Publishers, Amsterdam",
}
@InCollection{Thomas:1991:DDE,
author = "J.-M. Thomas",
booktitle = "{Math{\'e}matiques appliqu{\'e}es aux sciences de
l'ing{\'e}nieur (Santiago, 1989)}. ({French})
[{Applied} mathematics in engineering science]",
title = "{D}{\'e}composition de domaines et {\'e}l{\'e}ments
finis. ({French}) [{Domain} decomposition and finite
elements]",
publisher = "C{\'e}padu{\`e}s",
address = "Toulouse, France",
pages = "395--410",
year = "1991",
MRclass = "65N55 (65N30)",
MRnumber = "1142633 (92m:65160)",
MRreviewer = "O. Widlund",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Tong:1991:DDP,
author = "Charles H. Tong and Tony F. Chan and C. C. Jay Kuo",
title = "A Domain Decomposition Preconditioner Based on a
Change to a Multilevel Nodal Basis",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "12",
number = "6",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Trompert:1991:SRM,
author = "R. A. Trompert and J. G. Verwer",
title = "A static-regridding method for two-dimensional
parabolic partial differential equations",
journal = j-APPL-NUM-MATH,
volume = "8",
number = "1",
pages = "65--90",
month = aug,
year = "1991",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65M50",
MRnumber = "92h:65146",
bibdate = "Sat Feb 8 10:10:32 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
affiliation = "Centre for Mathematics and Computer Science",
affiliationaddress = "Amsterdam, Neth",
classification = "521; 723; 921",
journalabr = "Appl Numer Math",
keywords = "Combustion; Computers--Applications; Domain
Decomposition; Mathematical Models; Mathematical
Techniques--Differential Equations; Partial
Differential Equations; Static Regridding Method;
Subdomains",
}
@Article{Vabishchevich:1991:NSE,
author = "P. N. Vabishchevich",
title = "Numerical solution of elliptic boundary value problems
on composite grids",
journal = "Mat. Model.",
volume = "3",
number = "8",
pages = "112--123",
year = "1991",
ISSN = "0234-0879",
MRclass = "65N55",
MRnumber = "1157314 (92m:65161)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Matematicheskoe Modelirovanie",
}
@Article{Xu:1991:CCW,
author = "Jinchao Xu",
title = "Counterexamples concerning a weighted ${L}^2$
projection",
journal = j-MATH-COMPUT,
volume = "57",
number = "196",
pages = "563--568",
month = oct,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N30 (65M60)",
MRnumber = "92b:65090",
MRreviewer = "J. T. Oden",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290T (Finite element analysis); B0290B (Error
analysis in numerical methods); C4185 (Finite element
analysis); C4110 (Error analysis in numerical
methods)",
corpsource = "Pennsylvania State Univ., University Park, PA, USA",
keywords = "error analysis; finite element analysis; L/sup
2/-projection; stability estimates",
treatment = "T Theoretical or Mathematical",
}
@Article{Zhang:1991:MML,
author = "Sheng Zhang and Hong Ci Huang",
title = "Multigrid multi-level domain decomposition",
journal = j-J-COMP-MATH,
volume = "9",
number = "1",
pages = "17--27",
year = "1991",
CODEN = "JCMMEB",
ISSN = "0254-9409",
MRclass = "65N55",
MRnumber = "1150162 (92m:65162)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Mathematics. An International
Journal on Numerical Methods, Analysis and
Applications",
}
@PhdThesis{Zhang:1991:SDD,
author = "Xuejun Zhang",
title = "Studies in Domain Decomposition: Multilevel Methods
and the Biharmonic {Dirichlet} Problem",
number = "584",
institution = "Courant Institute of Mathematical Sciences, Department
of Mathematics",
school = "Courant Institute, New York University",
month = sep,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Baiocchi:1992:SGM,
author = "C. Baiocchi and F. Brezzi and L. D. Marini",
booktitle = "{Future tendencies in computer science, control and
applied mathematics (Paris, 1992)}",
title = "Stabilization of {Galerkin} methods and applications
to domain decomposition",
volume = "653",
publisher = pub-SV,
address = pub-SV:adr,
pages = "345--355",
year = "1992",
MRclass = "65N12 (65N55)",
MRnumber = "1228218 (94g:65119)",
MRreviewer = "Dietrich Braess",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Comput. Sci.",
acknowledgement = ack-nhfb,
}
@InCollection{Beckie:1992:MAD,
author = "R. Beckie and E. F. Wood and A. A. Aldama",
booktitle = "{Computational methods in water resources, IX, Vol. 1
(Denver, CO, 1992)}",
title = "A multigrid acceleration for domain decomposition
mixed finite element simulation of groundwater flow",
publisher = "Comput. Mech.",
address = "Southampton, UK",
pages = "589--596",
year = "1992",
MRclass = "76M10 (76S05 86-08)",
MRnumber = "1195368",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Bjorstad:1992:DDA,
author = "Petter E. Bj{\o}rstad and Morten Skogen",
editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A.
Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Domain Decomposition Algorithms of {Schwarz} Type,
Designed for Massively Parallel Computers",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1992",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Black:1992:PCU,
author = "Kelly Black",
title = "Polynomial collocation using a domain decomposition
solution to parabolic {PDEs} via the penalty method and
explicit/implicit time marching",
journal = j-J-SCI-COMPUT,
volume = "7",
number = "4",
pages = "313--338",
year = "1992",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/BF01108035",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "65M55 (80-08 80A20)",
MRnumber = "1214932 (93k:65076)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
}
@InCollection{Boglaev:1992:DDT,
author = "I. P. Boglaev and V. V. Sirotkin",
booktitle = "{Computational and applied mathematics, II (Dublin,
1991)}",
title = "Domain decomposition technique for singularly
perturbed problems and its parallel implementation",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "259--268",
year = "1992",
MRclass = "65N55 (65L10)",
MRnumber = "1204690 (94a:65063)",
MRreviewer = "Relja Vulanovi{\'c}",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@TechReport{Bornemann:1992:BNE,
author = "Folkmar Bornemann and Harry Yserentant",
title = "A Basic Norm Equivalence for the Theory of Multilevel
Methods",
institution = "Zuse-Zentrum, Berlin",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Submitted to Numer. Math",
}
@Article{Bramble:1992:DDM,
author = "James H. Bramble and Richard E. Ewing and Rossen R.
Parashkevov and Joseph E. Pasciak",
title = "Domain Decomposition Methods for Problems with Partial
Refinement",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "13",
number = "1",
pages = "397--410",
month = jan,
year = "1992",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N55 (65F10)",
MRnumber = "92i:65179",
bibdate = "Sat Oct 24 13:21:07 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
}
@Article{Brezzi:1992:SGM,
author = "F. Brezzi and C. Baiocchi and L. D. Marini",
title = "Stabilization of {Galerkin} methods and applications
to domain decomposition",
journal = j-LECT-NOTES-COMP-SCI,
volume = "653",
pages = "345--??",
year = "1992",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Mon May 13 11:46:24 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1992.bib",
acknowledgement = ack-nhfb,
}
@Article{Cai:1992:CRE,
author = "Xiao-Chuan Cai and William D. Gropp and David E.
Keyes",
title = "Convergence rate estimate for a domain decomposition
method",
journal = j-NUM-MATH,
volume = "61",
number = "2",
pages = "153--169",
month = mar,
year = "1992",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N55 (65N12 65N30)",
MRnumber = "92k:65181",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/mgnet.bib; Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classification = "B0290T (Finite element analysis); C4185 (Finite
element analysis)",
corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA",
keywords = "algebraic equations; convergence of numerical methods;
convergence rate analysis; convergence rate estimate;
Dirichlet boundary conditions; domain decomposition
method; finite element analysis; finite element
discretization; indefinite elliptic problems; mesh
size; preconditioned GMRES method; substructures",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Cai:1992:CSD,
author = "Xiao-Chuan Cai and William D. Gropp and David E.
Keyes",
editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A.
Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "A Comparison of Some Domain Decomposition Algorithms
for Nonsymmetric Elliptic Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1992",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Cai:1992:DDA,
author = "Xiao-Chuan Cai and Olof Widlund",
title = "Domain Decomposition Algorithms for Indefinite
Elliptic Problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "13",
number = "1",
pages = "243--258",
month = jan,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Cao:1992:FAP,
author = "Zhi Hao Cao",
title = "{Fourier} analysis of preconditioners for domain
decomposition",
journal = "Numer. Math. J. Chinese Univ.",
volume = "14",
number = "3",
pages = "253--258",
year = "1992",
ISSN = "1000-081X",
MRclass = "65N55 (65T99)",
MRnumber = "1260626 (94m:65186)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}
@TechReport{Chan:1992:EVV,
author = "Tony F. Chan and Tarek P. Mathew and Jian-Ping Shao",
title = "Efficient Variants of the Vertex Space Domain
Decomposition Algorithm",
number = "CAM 92-07",
institution = "Department of Mathematics, UCLA",
month = jan,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear in SIAM J. Scientific and Statistical
Computing",
}
@Article{Chan:1992:IPT,
author = "Tony F. Chan and Tarek P. Mathew",
title = "The Interface Probing Technique in Domain
Decomposition",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "13",
number = "1",
pages = "212--238",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Chan:1992:RBO,
author = "Tony F. Chan and Danny Goovaerts",
title = "On the Relationship between Overlapping and
Nonoverlapping Domain Decomposition Methods",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "13",
number = "2",
pages = "663--670",
month = apr,
year = "1992",
CODEN = "SJMAEL",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "65N55 (65F10)",
MRnumber = "93a:65170",
bibdate = "Tue Jan 21 08:54:30 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
acknowledgement = ack-nhfb,
}
@Article{Chu:1992:CPB,
author = "De Lin Chu and Xian Cheng Hu",
title = "Construction of a preconditioner based on domain
decomposition for solving elliptic problems",
journal = "Numer. Math. J. Chinese Univ.",
volume = "14",
number = "4",
pages = "363--371",
year = "1992",
ISSN = "1000-081X",
MRclass = "65N55 (65Y05)",
MRnumber = "1229271 (94f:65118)",
MRreviewer = "Min Sun",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}
@Unpublished{Cowsar:1992:BDD,
author = "Lawrence Cowsar and Jan Mandel and Mary F. Wheeler",
title = "Balancing Domain Decomposition for Mixed Problems in
Oil Reservoir Simulation",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Presented at the 6th International Symposium on Domain
Decomposition Methods, Como, Italy, 1992",
}
@InProceedings{Cowsar:1992:DPT,
author = "L. C. Cowsar and E. J. Dean and R. Glowinski and P. Le
Tallec and C. H. Li and J. P{\'e}riaux and M. F.
Wheeler",
booktitle = "{Parallel processing for scientific computing
(Houston, TX, 1991)}",
title = "Decomposition principles and their applications in
scientific computing",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "213--237",
year = "1992",
MRclass = "65N55 (65K10 65N22 65Y05)",
MRnumber = "1194910 (93j:65200)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Cowsar:1992:PMD,
author = "Lawrence C. Cowsar and Alan Weiser and Mary F.
Wheeler",
editor = "David E. Keyes and Tony F. Chan and G{\'e}rard Meurant
and Jeffrey S. Scroggs and Robert G. Voigt",
booktitle = "{Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Norfolk,
VA, 1991)}",
title = "Parallel Multigrid and Domain Decomposition Algorithms
for Elliptic Equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "376--385",
year = "1992",
ISBN = "0-89871-288-2",
ISBN-13 = "978-0-89871-288-9",
LCCN = "QA402.2 .I57 1991",
MRclass = "65N55 (65Y05)",
MRnumber = "1189588",
bibdate = "Tue Sep 21 21:25:17 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cowsar-lawrence-charles.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/cowsar-lawrence-c.bib",
acknowledgement = ack-nhfb,
alleditor = "David E. Keyes and Tony F. Chan and G{\'e}rard Meurant
and Jeffrey Scroggs and Robert G. Voigt",
bookpages = "xiii + 623",
xxeditor = "Tony F. Chan and David E. Keyes and G{\'e}rard A.
Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
}
@Article{Dawson:1992:EIC,
author = "Clint N. Dawson and Todd F. Dupont",
title = "Explicit\slash implicit conservative {Galerkin} domain
decomposition procedures for parabolic problems",
journal = j-MATH-COMPUT,
volume = "58",
number = "197",
pages = "21--34",
month = jan,
year = "1992",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N55 (65N30)",
MRnumber = "92h:65183",
MRreviewer = "T. R. Hopkins",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@InCollection{DeValerio:1992:DDM,
author = "M. {De Valerio} and M. Sch{\"a}fer",
booktitle = "{Parallel computing '91 (London, 1991)}",
title = "Domain decomposition methods for the numerical
solution of elliptic partial differential equations on
array processors",
volume = "4",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "167--173",
year = "1992",
MRclass = "65N55 (65Y05)",
MRnumber = "1193749",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Adv. Parallel Comput.",
acknowledgement = ack-nhfb,
}
@Book{dHennezel:1992:MDD,
author = "Fr{\'e}d{\'e}ric d'Hennezel",
title = "{M}{\'e}thodes de d{\'e}composition de domaine dans
les structures et les multistructures {\'e}lastiques.
({French}) [{Domain}-decomposition methods in
structures and multistructures]",
publisher = "Institut National de Recherche en Informatique et en
Automatique (INRIA)",
address = "Rocquencourt, France",
pages = "158",
year = "1992",
ISBN = "2-7261-0725-7",
ISBN-13 = "978-2-7261-0725-6",
MRclass = "73V20 (65N55 73C99 73K99)",
MRnumber = "1346303 (96e:73091)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Th{\`e}se, Universit{\'e} Paris VI, Paris, 1992",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Douglas:1992:MMD,
author = "Craig C. Douglas",
title = "{MGNet}: a multigrid and domain decomposition
network",
journal = j-SIGNUM,
volume = "27",
number = "4",
pages = "2--8",
month = oct,
year = "1992",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
bibdate = "Tue Apr 12 07:50:22 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/signum.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Dryja:1992:ASM,
author = "Maksymilian Dryja and Olof B. Widlund",
editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A.
Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Additive {Schwarz} Methods for Elliptic Finite Element
Problems in Three Dimensions",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1992",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Dryja:1992:DDA,
author = "Maksymilian Dryja and Olof B. Widlund",
title = "Domain Decomposition Algorithms with Small Overlap",
number = "606",
institution = "Department of Computer Science, Courant Institute",
month = may,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear in SIAM J. Sci. Stat. Comput.",
}
@Article{Farhat:1992:UDD,
author = "Charbel Farhat and Fran{\c{c}}ois-Xavier Roux",
title = "An Unconventional Domain Decomposition Method for an
Efficient Parallel Solution of Large-Scale Finite
Element Systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "13",
number = "1",
pages = "379--396",
month = jan,
year = "1992",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N55 (65N30 65Y05)",
MRnumber = "92g:65129",
bibdate = "Sat Oct 24 13:21:07 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
}
@Article{Gastaldi:1992:DDM,
author = "Lucia Gastaldi",
title = "A domain decomposition method associated with the
streamline diffusion {FEM} for linear hyperbolic
systems",
journal = j-APPL-NUM-MATH,
volume = "10",
number = "5",
pages = "357--380",
month = oct,
year = "1992",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65M55 (76M10 76M20)",
MRnumber = "93j:65144",
MRreviewer = "Hong Yuan Fu",
bibdate = "Sat Feb 8 10:09:54 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
}
@Article{Gropp:1992:DDL,
author = "William D. Gropp and David E. Keyes",
title = "Domain Decomposition with Local Mesh Refinement",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "13",
number = "4",
pages = "967--993",
month = jul,
year = "1992",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N55 (65Y05)",
MRnumber = "93b:65189",
bibdate = "Sat Oct 24 13:21:07 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Gropp:1992:EDDa,
author = "William D. Gropp and Barry F. Smith",
title = "Experiences with Domain Decomposition in Three
Dimensions: Overlapping {Schwarz} Methods",
institution = "Mathematics and Computer Science Division, Argonne
National Laboratory",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear in the Proceedings of the Sixth
International Symposium on Domain Decomposition
Methods",
}
@InProceedings{Gropp:1992:EDDb,
author = "William D. Gropp and Barry F. Smith",
booktitle = "Domain Decomposition Methods in Science and
Engineering",
title = "Experiences with Domain Decomposition in Three
Dimensions: Overlapping {S}chwarz Methods",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "323--333",
year = "1992",
ISBN = "0-8218-5158-6",
ISBN-13 = "978-0-8218-5158-6",
bibdate = "Mon Jul 11 14:09:33 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/smith-barry-francis.bib",
acknowledgement = ack-nhfb,
keyword = "Schwarz methods, parallel computing",
}
@InProceedings{Gropp:1992:PCD,
author = "William D. Gropp",
editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A.
Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Parallel Computing and Domain Decomposition",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1992",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Haase:1992:DDP,
author = "Gundolf Haase and Ulrich Langer and Arnd Meyer",
title = "Domain decomposition preconditioners with inexact
subdomain solvers",
journal = j-J-NUM-LIN-ALG-APPL,
volume = "1",
number = "1",
pages = "27--41",
year = "1992",
CODEN = "NLAAEM",
ISSN = "0129-3281",
MRclass = "65N55 (65N30)",
MRnumber = "93c:65153",
bibdate = "Thu Jan 23 19:03:25 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
acknowledgement = ack-nhfb,
}
@Article{Hu:1992:SAD,
author = "Xian Cheng Hu and De Lin Chu",
title = "Spectral analysis of domain boundary operators
contained in preconditioners for solving elliptic
problems on the basis of domain decomposition",
journal = "J. Tsinghua Univ.",
volume = "32",
number = "3",
pages = "8--17",
year = "1992",
CODEN = "QDXKE8",
ISSN = "1000-0054",
MRclass = "65N30",
MRnumber = "1203917 (94c:65137)",
MRreviewer = "Li Shan Kang",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Tsinghua University. Science and
Technology. Qinghua Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Ilin:1992:IFM,
author = "V. P. Il{\cprime}in",
title = "Incomplete factorization methods: some questions of
theory and practice",
journal = "Siberian J. Comput. Math.",
volume = "1",
number = "1",
pages = "1--18",
year = "1992",
ISSN = "1062-7944",
MRclass = "65F10 (15A23)",
MRnumber = "1399513 (97d:65013)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Siberian Journal of Computer Mathematics",
}
@Article{Kiss:1992:PDD,
author = "B. Kiss and Gy. Moln{\'a}rka",
title = "A preconditioned domain decomposition algorithm for
the solution of the elliptic {Neumann} problem",
journal = "Period. Math. Hungar.",
volume = "24",
number = "3",
pages = "151--165",
year = "1992",
CODEN = "PMHGAW",
DOI = "https://doi.org/10.1007/BF02330875",
ISSN = "0031-5303",
MRclass = "65N55",
MRnumber = "1190883 (93m:65168)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Periodica Mathematica Hungarica. Journal of the
J{\'a}nos Bolyai Mathematical Society",
}
@Book{Kushner:1992:NMS,
author = "Harold J. Kushner and Paul G. Dupuis",
title = "Numerical methods for stochastic control problems in
continuous time",
volume = "24",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 439",
year = "1992",
ISBN = "0-387-97834-8",
ISBN-13 = "978-0-387-97834-5",
MRclass = "93-02 (65U05 90C39 93E20)",
MRnumber = "1217486 (94e:93005)",
MRreviewer = "Jose Luis Menaldi",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Applications of Mathematics (New York)",
acknowledgement = ack-nhfb,
}
@Book{Kuznetsov:1992:CMM,
editor = "Yu. A. Kuznetsov",
title = "Chislennye metody i matematicheskoe modelirovanie",
publisher = "Rossi\u\i skaya Akademiya Nauk Institut
Vychislitel\cprime no\u\i\ Matematiki",
address = "Moscow, Russia",
pages = "128",
year = "1992",
ISBN = "5-201-08800-7",
ISBN-13 = "978-5-201-08800-2",
MRclass = "65-02",
MRnumber = "1246792 (94e:65004)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Kuznetsov:1992:ODD,
author = "Yu. A. Kuznetsov and P. Neittaanm{\"a}ki",
booktitle = "{Computational and applied mathematics, II (Dublin,
1991)}",
title = "Overlapping domain decomposition methods for the
simplified {Dirichlet-Signorini} problem",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "297--306",
year = "1992",
MRclass = "65N30 (49J40 65K10 73V25)",
MRnumber = "1204694 (94c:65139)",
MRreviewer = "Li Shan Kang",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Laevskii:1992:DDA,
author = "Yu. M. Laevski{\u\i}",
title = "A domain decomposition algorithm without overlapping
subdomains for the solution of parabolic equations",
journal = j-Z-VYCISL-MAT-MAT-FIZ,
volume = "32",
number = "11",
pages = "1744--1755",
year = "1992",
CODEN = "ZVMFAN",
ISSN = "0044-4669",
MRclass = "65M55 (65M60)",
MRnumber = "1202701 (94d:65055)",
MRreviewer = "Li Shan Kang",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Rossi\u\i skaya Akademiya Nauk. Zhurnal
Vychislitel\cprime no\u\i\ Matematiki i
Matematichesko\u\i\ Fiziki",
}
@Book{Laevskii:1992:OOP,
author = "Yu. M. Laevski{\u\i}",
title = "Ob otsenke pogreshnosti nekotorykh pryamykh algoritmov
dekompozitsii oblasti bez naleganiya podoblastei
resheniya parabolicheskikh uravnenii",
volume = "955",
publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "39",
year = "1992",
MRclass = "65M55",
MRnumber = "1249484 (94g:65099)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@Book{Laevskii:1992:PMD,
author = "Yu. M. Laevski{\u\i}",
title = "Pryamoi metod dekompozitsii oblasti resheniya
parabolicheskikh uravnenii",
volume = "946",
publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "48",
year = "1992",
MRclass = "65N55 (65M55)",
MRnumber = "1202432 (94e:65132)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@InCollection{Lai:1992:ATN,
author = "C. H. Lai",
booktitle = "{Computational and applied mathematics, I (Dublin,
1991)}",
title = "An acceleration technique for a nonoverlapped domain
decomposition method",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "289--293",
year = "1992",
MRclass = "65B99 (65M15)",
MRnumber = "1203353",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Langer:1992:SSM,
author = "Ulrich Langer",
title = "Substrukturtechnik und {Schwarzsche Methoden}",
journal = "Mitt. Ges. Angew. Math. Mech.",
volume = "15",
number = "2",
pages = "86--103",
year = "1992",
ISSN = "0936-7195",
MRclass = "65N30",
MRnumber = "1199755 (94c:65140)",
MRreviewer = "O. Widlund",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mitteilungen der Gesellschaft f{\"u}r Angewandte
Mathematik und Mechanik",
}
@Article{Layton:1992:DDM,
author = "William J. Layton",
title = "Domain decomposition for multi-dimensional, first
order systems of partial differential equations",
journal = j-APPL-ANAL,
volume = "47",
number = "2--3",
pages = "139--150",
year = "1992",
CODEN = "APANCC",
DOI = "https://doi.org/10.1080/00036819208840137",
ISSN = "0003-6811",
MRclass = "65M55 (65M15)",
MRnumber = "1333951 (96a:65143)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applicable Analysis. An International Journal",
}
@InCollection{Loheac:1992:ABC,
author = "J.-P. Loh{\'e}ac",
booktitle = "{Progress in partial differential equations: elliptic
and parabolic problems (Pont-{\`a}-Mousson, 1991)}",
title = "Artificial boundary conditions for advection-diffusion
equations",
volume = "266",
publisher = "Longman Sci. Tech.",
address = "Harlow, UK",
pages = "207--219",
year = "1992",
MRclass = "65M12 (35K57 35Q30)",
MRnumber = "1194229 (94b:65122)",
MRreviewer = "Gert Lube",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Pitman Res. Notes Math. Ser.",
acknowledgement = ack-nhfb,
}
@Article{Lu:1992:DDMa,
author = "Tao L{\"u}",
title = "Domain decomposition methods---a new technique for
solving partial differential equations. {II}",
journal = "Math. Practice Theory",
volume = "2",
number = "??",
pages = "59--69",
year = "1992",
CODEN = "SSHRE8",
ISSN = "1000-0984",
MRclass = "65N55",
MRnumber = "1195456 (94f:65120b)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian
yu Renshi",
}
@Article{Lu:1992:DDMb,
author = "Tao L{\"u}",
title = "Domain decomposition methods---a new technique for
solving partial differential equations. {III}",
journal = "Math. Practice Theory",
volume = "3",
number = "??",
pages = "43--58",
year = "1992",
CODEN = "SSHRE8",
ISSN = "1000-0984",
MRclass = "65N55",
MRnumber = "1199750 (94f:65120c)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian
yu Renshi",
}
@Article{Lu:1992:DDMc,
author = "Tao L{\"u}",
title = "Domain decomposition methods---a new technique for
solving partial differential equations. {IV}",
journal = "Math. Practice Theory",
volume = "4",
number = "??",
pages = "37--49",
year = "1992",
CODEN = "SSHRE8",
ISSN = "1000-0984",
MRclass = "65N55",
MRnumber = "1219226 (94f:65120d)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian
yu Renshi",
}
@InCollection{Mandel:1992:AIS,
author = "Jan Mandel",
editor = "M. Papadrakakis",
booktitle = "Solving Large Scale Problems in Mechanics. The
Development and Application of Computational Solution
Methods",
title = "Adaptive Iterative Solvers in Finite Elements",
publisher = pub-WILEY,
address = pub-WILEY:adr,
year = "1992",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
}
@TechReport{Mandel:1992:BDDa,
author = "Jan Mandel",
title = "Balancing Domain Decomposition",
institution = "Computational Mathematics Group, University of
Colorado at Denver",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Communications in Applied Numerical Methods, to
appear",
}
@TechReport{Mandel:1992:BDDb,
author = "Jan Mandel and Marian Brezina",
title = "Balancing Domain Decomposition: Theory and
Computations in Two and Three Dimensions",
institution = "Computational Mathematics Group, University of
Colorado at Denver",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Submitted to Math. Comp.",
}
@Unpublished{Mandel:1992:ISP,
author = "Jan Mandel",
title = "Iterative Solvers for p-Version Finite Element Method
in Three Dimensions",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "In preparation; paper presented at ICOSAHOM 92,
Montpellier, France, June 1992",
}
@TechReport{Mu:1992:PDD,
author = "M. Mu and John R. Rice",
title = "Preconditioning for Domain Decomposition Through
Function Approximation",
type = "Technical report",
number = "TR-92-091",
institution = inst-CS-PURDUE,
address = inst-CS-PURDUE:adr,
pages = "18",
month = nov,
year = "1992",
bibdate = "Sun Dec 30 13:46:29 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib",
URL = "http://www.cs.purdue.edu/research/technical_reports/1992/TR%2092-091.pdf",
acknowledgement = ack-nhfb,
}
@Article{Nepomnyashchikh:1992:DDM,
author = "S. V. Nepomnyashchikh",
title = "The domain decomposition method for elliptic problems
with coefficient jumps in thin strips",
journal = j-DOKL-AKAD-NAUK,
volume = "323",
number = "6",
pages = "1034--1037",
year = "1992",
CODEN = "DANKAS",
ISSN = "0869-5652",
MRclass = "65N55 (65N22 65N30)",
MRnumber = "1202306 (94b:65160)",
MRreviewer = "Li Shan Kang",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Rossi\u\i skaya Akademiya Nauk. Doklady Akademii
Nauk",
}
@Article{Oswald:1992:HBM,
author = "Peter Oswald",
title = "On a hierarchical basis multilevel method with
nonconforming {P}1 elements",
journal = "Numer. Math.",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
}
@Article{Oswald:1992:HCF,
author = "P. Oswald",
title = "Hierarchical Conforming Finite Element Methods for the
Biharmonic Equation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "29",
number = "6",
pages = "1610--1625",
month = dec,
year = "1992",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N30 (65F99)",
MRnumber = "93k:65098",
MRreviewer = "J. T. Oden",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Papamichael:1992:DDM,
author = "N. Papamichael and N. S. Stylianopoulos",
title = "A domain decomposition method for approximating the
conformal modules of long quadrilaterals",
journal = j-NUM-MATH,
volume = "62",
number = "2",
pages = "213--234",
month = jul,
year = "1992",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30C30 (65E05)",
MRnumber = "93g:30008",
MRreviewer = "D. Gaier",
bibdate = "Thu Jan 23 07:49:52 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
}
@PhdThesis{Pavarino:1992:DDA,
author = "Luca F. Pavarino",
title = "Domain Decomposition Algorithms for the p-version
finite element method for elliptic problems",
number = "616",
institution = "Courant Institute of Mathematical Sciences, Department
of Mathematics",
school = "Courant Institute, New York University",
month = sep,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Perkins:1992:MDU,
author = "A. Louise Perkins",
title = "A mixed directed-undirected data structure for a
parallel implementation of a domain decomposition
algorithm",
journal = j-BIT,
volume = "32",
number = "4",
pages = "598--608",
month = dec,
year = "1992",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01994844",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "68P05 (65Y05)",
MRnumber = "1 191 015",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=32&issue=4;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib;
MathSciNet database",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=32&issue=4&spage=598",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
}
@InCollection{Phillips:1992:PDD,
author = "Timothy N. Phillips",
booktitle = "{Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Norfolk,
VA, 1991)}",
title = "Pseudospectral domain decomposition techniques for the
{Navier--Stokes} equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "531--540",
year = "1992",
MRclass = "65N35 (76D05 76M25)",
MRnumber = "1189600",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Pini:1992:DDN,
author = "G. Pini",
title = "Domain decomposition and nested grids in a parallel
environment",
journal = j-SUPERCOMPUTER,
volume = "9",
number = "4",
pages = "22--28",
month = jul,
year = "1992",
CODEN = "SPCOEL",
ISSN = "0168-7875",
bibdate = "Wed Mar 18 08:37:01 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/supercom.bib;
Parallel/mgnet.bib; Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
affiliation = "Dipartimento di Metodi e Modelli Matematici per le
Sci. Applicate, Padova Univ., Italy",
classification = "A0270 (Computational techniques); A4710 (General
theory, simulation and other computational methods);
A4755M (Flow through porous media); C4170 (Differential
equations); C4185 (Finite element analysis); C5440
(Multiprocessor systems and techniques); C5470
(Performance evaluation and testing); C7320 (Physics
and Chemistry)",
corpsource = "Dipartimento di Metodi e Modelli Matematici per le
Sci. Applicate, Padova Univ., Italy",
keywords = "adjoint problems; Cray Y:MP8/432; domain
decomposition; finite element analysis; finite- element
technique; flow through porous media; macro-triangle;
macromesh; nonsymmetric linear system; parallel
environment; parallel implementation; parallel
processing; parallel speedups; parallelization
directives; partial differential equations; performance
evaluation; randomly heterogeneous porous media; shared
memory supercomputer; steady flow",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@InCollection{Ronquist:1992:DDM,
author = "Einar M. R{\o}nquist",
booktitle = "{Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Norfolk,
VA, 1991)}",
title = "A domain decomposition method for elliptic boundary
value problems: application to unsteady incompressible
fluid flow",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "545--557",
year = "1992",
MRclass = "65N55 (76D05 76M30)",
MRnumber = "1189601",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Book{Rozvany:1992:SLO,
editor = "G. I. N. Rozvany",
title = "Shape and layout optimization of structural systems
and optimality criteria methods",
volume = "325",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vi + 496",
year = "1992",
ISBN = "3-211-82363-8",
ISBN-13 = "978-3-211-82363-7",
MRclass = "73K40 (49Q10 73-06 73V05 73V10 73V25)",
MRnumber = "1232703 (94i:73069)",
MRreviewer = "Vadim Komkov",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "CISM Courses and Lectures",
acknowledgement = ack-nhfb,
}
@InCollection{Rusten:1992:MFE,
author = "T. Rusten and R. Winther",
booktitle = "{Computational methods in water resources, IX, Vol. 1
(Denver, CO, 1992)}",
title = "Mixed finite element methods and domain
decomposition",
publisher = "Comput. Mech.",
address = "Southampton, UK",
pages = "597--604",
year = "1992",
MRclass = "65N55 (76M10 76M25)",
MRnumber = "1195369",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Sidilkover:1992:NSE,
author = "David Sidilkover and George Em. Karniadakis",
booktitle = "{Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Norfolk,
VA, 1991)}",
title = "Nonoscillatory spectral element {Chebyshev} method for
shock wave calculations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "566--585",
year = "1992",
MRclass = "65M70",
MRnumber = "1189602",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@PhdThesis{Skogen:1992:SMP,
author = "Morten D. Skogen",
title = "{Schwarz} Methods and Parallelism",
school = "Department of Informatics, University of Bergen,
Norway",
month = feb,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Smith:1992:ISAa,
author = "Barry F. Smith",
editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A.
Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "An Iterative Substructuring Algorithm for Problems in
Three Dimensions",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1992",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Smith:1992:ODD,
author = "Barry F. Smith",
title = "An Optimal Domain Decomposition Preconditioner for the
Finite Element Solution of Linear Elasticity Problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "13",
number = "1",
pages = "364--378",
month = jan,
year = "1992",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "73V05 (65N30 65N55 73C02)",
MRnumber = "92g:73080",
bibdate = "Sat Oct 24 13:21:07 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Srinivasan:1992:AMD,
author = "Kumar Srinivasan and Stanley G. Rubin",
booktitle = "{Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Norfolk,
VA, 1991)}",
title = "Adaptive multigrid domain decomposition solutions of
the reduced {Navier--Stokes} equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "586--596",
year = "1992",
MRclass = "65N55 (76M20)",
MRnumber = "1189603",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Stagg:1992:ANI,
author = "A. K. Stagg and G. F. Carey",
booktitle = "{Parallel processing for scientific computing
(Houston, TX, 1991)}",
title = "Asynchronous nonlinear iteration and domain
decomposition",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "281--286",
year = "1992",
MRclass = "65H10 (65N55 65Y05)",
MRnumber = "1194915",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Taha:1992:PAI,
author = "Thiab R. Taha",
booktitle = "{Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Norfolk,
VA, 1991)}",
title = "A parallel algorithm for an investigation of
self-focusing singularity of higher {KdV} equations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "597--604",
year = "1992",
MRclass = "65P05 (65Y05)",
MRnumber = "1189604 (93h:65161)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Book{Tidriri:1992:CAM,
author = "Moulay Driss Tidriri",
title = "Couplage d'approximations et de mod{\`e}les de types
diff{\'e}rents dans le calcul d'{\'e}coulements
externes. ({{French}}) [Coupling of approximations and
of models of different types in external flows]",
publisher = "Institut National de Recherche en Informatique et en
Automatique (INRIA)",
address = "Rocquencourt, France",
pages = "xii + 366",
year = "1992",
ISBN = "2-7261-0737-0",
ISBN-13 = "978-2-7261-0737-9",
MRclass = "65N55",
MRnumber = "1346308 (96d:65202)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Th{\`e}se, Universit{\'e} de Paris IX
(Paris-Dauphine), Paris, 1992",
acknowledgement = ack-nhfb,
language = "French",
}
@InCollection{Vasilevskii:1992:DDM,
author = "Yu. V. Vasilevski{\u\i}",
booktitle = "{Numerical methods and mathematical modeling
(Russian)}",
title = "The domain decomposition method with application of
continuation operators for a difference function",
publisher = "Ross. Akad. Nauk Inst. Vychisl. Mat.",
address = "Moscow, Russia",
pages = "21--34",
year = "1992",
MRclass = "65M55",
MRnumber = "1246794 (95b:65115)",
MRreviewer = "Erwin Schechter",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Widlund:1992:SSM,
author = "Olof B. Widlund",
editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A.
Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Some {Schwarz} Methods for Symmetric and Nonsymmetric
Elliptic Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1992",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Williams:1992:VOMa,
author = "Peter L. Williams",
title = "Visibility ordering meshed polyhedra",
type = "Technical Report",
number = "CSRD 1097",
institution = inst-UIUC-CSRD,
address = inst-UIUC-CSRD:adr,
pages = "28",
month = jan,
year = "1992",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "A visibility ordering of a set of objects from some
viewpoint is an ordering such that if object a
obstructs object b, then b precedes a in the ordering.
An algorithm is presented that generates a visibility
ordering of an acyclic convex set of meshed convex
polyhedra. This algorithm takes time linear in the size
of the mesh. Modifications to this algorithm and/or
preprocessing techniques are described which permit
nonconvex cells, nonconvex meshes (meshes with cavities
and/or voids), meshes with cycles, and sets of
disconnected meshes to be ordered. Visibility ordering
of polyhedra is applicable to scientific visualization,
particularly direct volume rendering. It is shown how
the ordering algorithms can be used for domain
decomposition of finite element meshes for parallel
processing, and how the data structures used by these
algorithms can be used to solve the spatial point
location problem. The effects of cyclically obstructing
polyhedra are discussed, and methods for their
elimination are described, including the use of the
Delaunay triangulation. Methods for converting
nonconvex meshes into convex meshes are described.",
acknowledgement = ack-nhfb,
annote = "To appear in ACM Transactions on Graphics in 1993.
Supported in part by the U.S. Air Force Office of
Scientific Research. Supported in part by the U.S.
Department of Energy. Supported in part by the National
Science Foundation. Supported in part by Sun
Microsystems.",
keywords = "Computer graphics",
}
@Article{Williams:1992:VOMb,
author = "Peter L. Williams",
title = "Visibility Ordering Meshed Polyhedra",
journal = j-TOG,
volume = "11",
number = "2",
pages = "103--126",
month = apr,
year = "1992",
CODEN = "ATGRDF",
ISSN = "0730-0301 (print), 1557-7368 (electronic)",
bibdate = "Fri Jan 5 07:58:42 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/tog.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0730-0301/130899.html",
abstract = "A visibility-ordering of a set of objects from some
viewpoint is an ordering such that if object $a$
obstructs object $b$, then $b$ precedes $a$ in the
ordering. An algorithm is presented that generates a
visibility-ordering of an acyclic convex set of meshed
convex polyhedra. This algorithm takes time linear in
the size of the mesh. Modifications to this algorithm
and/or preprocessing techniques are described that
permit nonconvex cells nonconvex meshes (meshes with
cavities and/or voids), meshes with cycles, and sets of
disconnected meshes to be ordered. Visibility-ordering
of polyhedra is applicable to scientific visualization,
particularly direct volume rendering. It is shown how
the ordering algorithms can be used for domain
decomposition of finite element meshes for parallel
processing, and how the data structures used by these
algorithms can be used to solve the spatial point
location problem. The effects of cyclically obstructing
polyhedra are discussed and methods for their
elimination are described, including the use of the
Delaunay triangulation. Methods for converting
nonconvex meshes into convex meshes are described.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; theory",
subject = "{\bf I.3.7}: Computing Methodologies, COMPUTER
GRAPHICS, Three-Dimensional Graphics and Realism,
Visible line/surface algorithms. {\bf I.3.3}: Computing
Methodologies, COMPUTER GRAPHICS, Picture/Image
Generation, Display algorithms. {\bf I.3.3}: Computing
Methodologies, COMPUTER GRAPHICS, Picture/Image
Generation, Viewing algorithms. {\bf I.3.5}: Computing
Methodologies, COMPUTER GRAPHICS, Computational
Geometry and Object Modeling, Curve, surface, solid,
and object representations.",
}
@Article{Wu:1992:DDM,
author = "Yun Hai Wu",
title = "A domain decomposition method for impulsively started
flow around a circular cylinder",
journal = "Chinese J. Numer. Math. Appl.",
volume = "14",
number = "4",
pages = "82--90",
year = "1992",
ISSN = "0899-4358",
MRclass = "76M25 (65N55 76D05 76M35)",
MRnumber = "1258645 (94i:76063)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Chinese Journal of Numerical Mathematics and
Applications",
}
@Article{Xu:1992:IMS,
author = "Jinchao Xu",
title = "Iterative methods by space decomposition and subspace
correction",
journal = j-SIAM-REVIEW,
volume = "34",
number = "4",
pages = "581--613",
month = dec,
year = "1992",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1034116",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F10 (65M55 65M60 65N30 65N55)",
MRnumber = "1193013 (93k:65029)",
MRreviewer = "Jan Z{\'\i}tko",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
}
@Article{Xu:1992:NCI,
author = "Jinchao Xu",
title = "A New Class of Iterative Methods for Nonselfadjoint or
Indefinite Problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "29",
number = "2",
pages = "303--319",
month = apr,
year = "1992",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F10 (65N30)",
MRnumber = "92k:65063",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Xu:1992:PGM,
author = "Jinchao Xu and Xiao-Chuan Cai",
title = "A preconditioned {GMRES} method for nonsymmetric or
indefinite problems",
journal = j-MATH-COMPUT,
volume = "59",
number = "200",
pages = "311--319",
month = oct,
year = "1992",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65F30 (65F10 65F35 65N30)",
MRnumber = "93a:65059",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
JSTOR database",
acknowledgement = ack-nhfb,
}
@InCollection{Zampieri:1992:MSC,
author = "Elena Zampieri",
booktitle = "{Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations (Norfolk,
VA, 1991)}",
title = "A multidomain spectral collocation solver for the
elasticity problem",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "614--623",
year = "1992",
MRclass = "65N35 (73V20)",
MRnumber = "1189605",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Zhang:1992:DDA,
author = "Xuejun Zhang",
editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A.
Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
booktitle = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
title = "Domain Decomposition Algorithms for the Biharmonic
{Dirichlet} Problem",
publisher = pub-SIAM,
address = pub-SIAM:adr,
year = "1992",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Zhang:1992:MSMa,
author = "Xuejun Zhang",
title = "Multilevel {Schwarz} Methods",
journal = j-NUM-MATH,
volume = "63",
number = "4",
pages = "521--539",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Zhang:1992:MSMb,
author = "Xuejun Zhang",
title = "Multilevel {Schwarz} Methods for the Biharmonic
{Dirichlet} Problem",
number = "CS-TR2907 (UMIACS-TR-92-60)",
institution = "University of Maryland, Department of Computer
Science",
month = may,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Submitted to SIAM J. Sci. Stat. Comput.",
}
@Article{Zhang:1992:PDD,
author = "Sheng Zhang",
title = "Preconditioning domain decomposition for
three-dimensional problems",
journal = "J. Fudan Univ. Natur. Sci.",
volume = "31",
number = "2",
pages = "136--141",
year = "1992",
CODEN = "FHPTAY",
ISSN = "0427-7104",
MRclass = "65N55 (65F35)",
MRnumber = "1194320 (93i:65118)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Fudan University. Natural Science. Fudan
Xuebao. Ziran Kexue Ban",
}
@Article{Zhang:1992:PIA,
author = "Tie Zhang",
title = "A parallel iterative algorithm for solving systems of
finite element equations",
journal = "J. Northeast Univ. Tech.",
volume = "13",
number = "3",
pages = "297--301",
year = "1992",
CODEN = "THYPDK",
ISSN = "0253-4258",
MRclass = "65N30 (65Y05)",
MRnumber = "1203697 (94a:65061)",
MRreviewer = "Weimin Han",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northeast University of Technology. Dongbei
Gong Xueyuan Xuebao",
}
@Article{Zhang:1992:PID,
author = "Sheng Zhang and Hong Ci Huang",
title = "Parallel iterative domain decomposition method for
elliptic equation: many subdomains case",
journal = "Sci. China Ser. A",
volume = "35",
number = "6",
pages = "690--700",
year = "1992",
ISSN = "1001-6511",
MRclass = "65N55",
MRnumber = "1196627 (93j:65206)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Science in China (Scientia Sinica). Series A.
Mathematics, Physics, Astronomy",
}
@Article{Abdoulaev:1993:ODD,
author = "G. S. Abdoulaev",
title = "Overlapping domain decomposition method for {Burgers}
equation",
journal = j-EW-J-NUM-MATH,
volume = "1",
number = "2",
pages = "75--86",
year = "1993",
CODEN = "EJNMEA",
ISSN = "0928-0200",
MRclass = "65M55 (65M60 65N30 65N55)",
MRnumber = "1253628 (94k:65135)",
MRreviewer = "Li Shan Kang",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "East-West Journal of Numerical Mathematics",
}
@InCollection{Aguilar:1993:DDM,
author = "G. Aguilar and F. Lisbona",
booktitle = "{III Congress on Applied Mathematics\slash XIII
Congress on Differential Equations and Applications
(Spanish) (Madrid, 1993)}",
title = "Domain decomposition in models of viscous-nonviscous
flow",
publisher = "Univ. Polit{\'e}c. Madrid",
address = "Madrid, Spain",
pages = "269--274",
year = "1993",
MRclass = "35A25",
MRnumber = "1425651",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Belgacem:1993:NCS,
author = "F. Ben Belgacem and Y. Maday",
title = "Non-conforming spectral method for second order
elliptic problems in {$3$D}",
journal = j-EW-J-NUM-MATH,
volume = "1",
number = "4",
pages = "235--251",
year = "1993",
CODEN = "EJNMEA",
ISSN = "0928-0200",
MRclass = "65N35",
MRnumber = "1318804 (95k:65113)",
MRreviewer = "B. Kellogg",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "East-West Journal of Numerical Mathematics",
}
@Article{Bialecki:1993:FDD,
author = "Bernard Bialecki",
title = "A Fast Domain Decomposition {Poisson} Solver on a
Rectangle for {Hermite} Bicubic Orthogonal Spline
Collocation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "30",
number = "2",
pages = "425--434",
month = apr,
year = "1993",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N55 (65F30 65N35)",
MRnumber = "94b:65154",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Boglaev:1993:ADD,
author = "I. P. Boglaev and V. V. Sirotkin",
booktitle = "{Applications of advanced computational methods for
boundary and interior layers}",
title = "Application of domain decomposition to semiconductor
device modelling and simulation in diagnostics of
semiconductor structures",
volume = "2",
publisher = "Boole",
address = "Dublin, Ireland",
pages = "1--32",
year = "1993",
MRclass = "65M50 (78A55)",
MRnumber = "1245730 (94h:65093)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Adv. Comput. Methods Bound. Inter. Layers",
acknowledgement = ack-nhfb,
}
@Article{Boglaev:1993:CMS,
author = "I. P. Boglaev and V. V. Sirotkin",
title = "Computational Method for a Singular Perturbation
Problem via Domain Decomposition and its Parallel
Implementation",
journal = j-APPL-MATH-COMP,
volume = "56",
number = "1",
pages = "71--95",
month = jun,
year = "1993",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
MRclass = "65L99 (65Y05)",
MRnumber = "94h:65083",
MRreviewer = "Beny Neta",
bibdate = "Fri Feb 28 12:53:44 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
acknowledgement = ack-nhfb,
affiliation = "Inst. of Microelectron. Technol., Acad. of Sci.,
Chernogolovka, Russia",
}
@InCollection{Brezzi:1993:MHE,
author = "F. Brezzi and L. D. Marini",
booktitle = "{Optimisation et contr{\^o}le (Sophia-Antipolis,
1992)}",
title = "Macro hybrid elements and domain decomposition
methods",
publisher = "C{\'e}padu{\`e}s",
address = "Toulouse, France",
pages = "89--96",
year = "1993",
MRclass = "65N55",
MRnumber = "1284966 (95c:65208)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Cai:1993:CSD,
author = "Xiao-Chuan Cai and William D. Gropp and David E.
Keyes",
title = "A Comparison of Some Domain Decomposition and {ILU}
Preconditioned Iterative Methods for Nonsymmetric
Elliptic Problems",
journal = j-NUM-LIN-ALG-APPL,
month = jun,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}
@Article{Cai:1993:MSA,
author = "Xiao-Chuan Cai and Olof B. Widlund",
title = "Multiplicative {Schwarz} algorithms for some
nonsymmetric and indefinite problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "30",
number = "4",
pages = "936--952",
month = sep,
year = "1993",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N55 (65F15 65N30)",
MRnumber = "94j:65141",
MRreviewer = "Zden{\v{e}}k Dost{\'a}l",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
acknowledgement = ack-nhfb,
}
@Article{Cai:1993:NEP,
author = "Zhi Qiang Cai",
title = "Norm Estimates of Product Operators with Application
to Domain Decomposition",
journal = j-APPL-MATH-COMP,
volume = "53",
number = "2--3",
pages = "251--276",
month = feb,
year = "1993",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
MRclass = "47A50 (47A30 65N55)",
MRnumber = "94c:47011",
MRreviewer = "J. H. Bramble",
bibdate = "Thu Feb 27 09:47:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
acknowledgement = ack-nhfb,
}
@Article{Cai:1993:OTL,
author = "Xiao-Chuan Cai",
title = "An Optimal Two-level Overlapping Domain Decomposition
Method for Elliptic Problems in Two and Three
Dimensions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "14",
pages = "239--247",
month = jan,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Chan:1993:IMQ,
author = "Raymond H. Chan",
booktitle = "{Linear algebra, Markov chains, and queueing models
(Minneapolis, MN, 1992)}",
title = "Iterative methods for queueing networks with irregular
state-spaces",
volume = "48",
publisher = pub-SV,
address = pub-SV:adr,
pages = "89--109",
year = "1993",
MRclass = "65F05 (60K25 90B22)",
MRnumber = "1242131 (94h:65020)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "IMA Vol. Math. Appl.",
acknowledgement = ack-nhfb,
}
@Article{Chu:1993:CDD,
author = "De-lin Chu and Fang-jun Zhou",
title = "The convergence of a domain decomposition algorithm
for parabolic problems",
journal = "Numer. Math. J. Chinese Univ. (English Ser.)",
volume = "2",
number = "2",
pages = "162--175",
year = "1993",
ISSN = "1004-8979 (print), 2079-7338 (electronic)",
MRclass = "65N55",
MRnumber = "1390729 (97b:65139)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. (English Series)",
}
@Article{Chu:1993:PCG,
author = "De Lin Chu and Xian Cheng Hu",
title = "A preconditioned conjugate gradient method with
nonoverlapping domain decomposition",
journal = "Math. Numer. Sinica",
volume = "15",
number = "1",
pages = "58--68",
year = "1993",
ISSN = "0254-7791",
MRclass = "65N55 (65F35)",
MRnumber = "1393855 (97c:65203)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@TechReport{Cowsar:1993:BDD,
author = "Lawrence C. Cowsar and Jan Mandel and Mary F.
Wheeler",
title = "Balancing Domain Decomposition for Mixed Finite
Elements",
number = "TR93-08",
institution = "Department of Mathematical Sciences, Rice University",
month = mar,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@TechReport{Cowsar:1993:DVS,
author = "Lawrence C. Cowsar",
title = "Dual Variable {Schwarz} Methods for Mixed Finite
Elements",
number = "TR93-09",
institution = "Department of Mathematical Sciences, Rice University",
month = mar,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InProceedings{Dagum:1993:APU,
author = "Leonardo Dagum",
title = "Automatic Partitioning of Unstructured Grids into
Connected Components",
crossref = "IEEE:1993:PSP",
pages = "94--101",
year = "1993",
bibdate = "Wed Apr 15 12:04:03 MDT 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib",
acknowledgement = ack-nhfb,
affiliation = "Computer Sciences Corp",
affiliationaddress = "Moffet Field, CA, USA",
classification = "723; 723.5; 921; 921.6; C1120 (Mathematical
analysis); C1180 (Optimisation techniques); C4170
(Differential equations); C4240P (Parallel programming
and algorithm theory)",
corpsource = "Computer Sci. Corp., Moffett Field, CA, USA",
keywords = "Algorithms; automatic partitioning; Computer science;
Connected components; connected components; connected
initial grid; convergence; cut edges; differential
equations; domain decomposition; multigrid; Numerical
analysis; optimisation; parallel algorithms;
Partitioning scheme; partitioning schemes; resource
allocation; Spectral partitioning; spectral
partitioning; unstructured grids; Unstructured grids
automatic partitioning",
sponsororg = "IEEE; ACM SIGARCH",
treatment = "P Practical",
}
@Article{dHennezel:1993:DDM,
author = "Fr{\'e}d{\'e}ric d'Hennezel",
title = "Domain decomposition method and elastic
multi-structures: the stiffened plate problem",
journal = j-NUM-MATH,
volume = "66",
number = "2",
pages = "181--197",
month = nov,
year = "1993",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01385693",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "73V05 (65N55 73K10 73K20)",
MRnumber = "1245010 (95c:73080)",
MRreviewer = "Rolf Rannacher",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@InCollection{Douglas:1993:MPI,
author = "Jim {Douglas, Jr.} and P. J. Paes-Leme and Felipe
Pereira and Li Ming Yeh",
booktitle = "{Flow in porous media (Oberwolfach, 1992)}",
title = "A massively parallel iterative numerical algorithm for
immiscible flow in naturally fractured reservoirs",
volume = "114",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "75--93",
year = "1993",
MRclass = "76M10 (65Y05 76M25 76S05)",
MRnumber = "1276495 (95a:76058)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Internat. Ser. Numer. Math.",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1993:NFM,
author = "Jim {Douglas, Jr.} and Jun Ping Wang",
title = "A new family of mixed finite element spaces over
rectangles",
journal = "Mat. Apl. Comput.",
volume = "12",
number = "3",
pages = "183--197",
year = "1993",
ISSN = "0101-8205",
MRclass = "65N30",
MRnumber = "1288240 (95g:65150)",
MRreviewer = "Charles I. Goldstein",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Sociedade Brasiliera de Matem{\'a}tica Applicada e
Computacional. Matem{\'a}tica Aplicada e Computacional.
Computational and Applied Mathematics",
}
@Article{Douglas:1993:PIP,
author = "J. {Douglas, Jr.} and P. J. {Paes Leme} and J. E.
Roberts and Junping Wang",
title = "A parallel iterative procedure applicable to the
approximate solution of second order partial
differential equations by mixed finite element
methods",
journal = j-NUM-MATH,
volume = "65",
number = "1",
pages = "95--108",
month = may,
year = "1993",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N30 (65Y05)",
MRnumber = "94c:65134",
MRreviewer = "Weimin Han",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN,
USA",
keywords = "approximate solution; domain decomposition techniques;
elliptic equations; finite element analysis; iterative
methods; mixed finite element methods; parallel
iterative procedure; partial differential equations;
second order partial differential equations;
time-dependent problems",
treatment = "P Practical; T Theoretical or Mathematical",
}
@TechReport{Dryja:1993:SAIa,
author = "Maksymilian Dryja and Barry F. Smith and Olof B.
Widlund",
title = "{Schwarz} Analysis of Iterative Substructuring
Algorithms for Elliptic Problems in Three Dimensions",
institution = "Department of Computer Science, Courant Institute",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "In preparation",
}
@TechReport{Dryja:1993:SMN,
author = "Maksymilian Dryja and Olof B. Widlund",
title = "{Schwarz} Methods of {Neumann--Neumann} Type for
Three-Dimensional Elliptic Finite Element Problems",
number = "626",
institution = "Department of Computer Science, Courant Institute",
month = mar,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Submitted to Comm. Pure Appl. Math.",
}
@InProceedings{Dryja:1993:SRR,
author = "Maksymilian Dryja and Olof B. Widlund",
editor = "Alfio Quarteroni",
booktitle = "Sixth Conference on Domain Decomposition Methods for
Partial Differential Equations, held in Como, Italy,
June 15--19,1992.",
title = "Some Recent Results on {Schwarz} Type Domain
Decomposition Algorithms",
publisher = pub-AMS,
address = pub-AMS:adr,
year = "1993",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear.",
}
@Article{Ewing:1993:DDT,
author = "Richard E. Ewing and Raytcho D. Lazarov and Joseph E.
Pasciak and Panayot S. Vassilevski",
title = "Domain Decomposition Type Iterative Techniques for
Parabolic Problems on Locally Refined Grids",
journal = j-SIAM-J-NUMER-ANAL,
volume = "30",
number = "6",
pages = "1537--1557",
month = dec,
year = "1993",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0730080",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65M50 (65F10)",
MRnumber = "1249032 (94i:65094)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@InCollection{Gastaldi:1993:DDB,
author = "Fabio Gastaldi",
booktitle = "{Boundary value problems for partial differential
equations and applications}",
title = "On the domain decomposition for boundary value
problems",
volume = "29",
publisher = pub-MASSON,
address = pub-MASSON:adr,
pages = "367--372",
year = "1993",
MRclass = "35F05 (35A35 65M12)",
MRnumber = "1260464 (94m:35054)",
MRreviewer = "M. Biroli",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "RMA Res. Notes Appl. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Gastaldi:1993:MDT,
author = "Fabio Gastaldi",
booktitle = "{Variational and free boundary problems}",
title = "A multidomain decomposition for the transport
equation",
volume = "53",
publisher = pub-SV,
address = pub-SV:adr,
pages = "87--109",
year = "1993",
MRclass = "65M55",
MRnumber = "1320776 (96c:65154)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "IMA Vol. Math. Appl.",
acknowledgement = ack-nhfb,
}
@Article{Guermond:1993:SDE,
author = "J.-L. Guermond and S. Huberson and W.-Z. Shen",
title = "Simulation of {$2$D} external viscous flows by means
of a domain decomposition method",
journal = j-J-COMPUT-PHYS,
volume = "108",
number = "2",
pages = "343--352",
year = "1993",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1006/jcph.1993.1187",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
MRclass = "76M25 (76D05 76M20)",
MRnumber = "1242956 (94f:76059)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@InCollection{Haase:1993:PVC,
author = "Gundolf Haase and Ulrich Langer and Arnd Meyer",
booktitle = "{Numerische Algorithmen auf Transputer-Systemen
(Heidelberg, 1991)}",
title = "Parallelisierung und {Vorkonditionierung} des
{CG-Verfahrens} durch {Gebietszerlegung}",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "80--116",
year = "1993",
MRclass = "65Y05 (65F05)",
MRnumber = "1239218",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Teubner Skr. Numer.",
acknowledgement = ack-nhfb,
}
@Article{Heinrichs:1993:DDF,
author = "Wilhelm Heinrichs",
title = "Domain Decomposition for Fourth-Order Problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "30",
number = "2",
pages = "435--453",
month = apr,
year = "1993",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65L60 (65N35)",
MRnumber = "94g:65089",
MRreviewer = "Lutz Tobiska",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
acknowledgement = ack-nhfb,
}
@Article{Heinrichs:1993:SMM,
author = "Wilhelm Heinrichs",
title = "Spectral multigrid methods for domain decomposition
problems using patching techniques",
journal = j-APPL-MATH-COMP,
volume = "59",
number = "2--3",
pages = "165--176",
month = dec,
year = "1993",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/0096-3003(93)90087-U",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
MRclass = "65M55 (65M70)",
MRnumber = "1253159 (95a:65158)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
affiliation = "Math. Inst., Dusseldorf Univ., Germany",
fjournal = "Applied Mathematics and Computation",
}
@Article{Hoffmann:1993:PED,
author = "K.-H. Hoffmann and J. Zou",
title = "Parallel efficiency of domain decomposition methods",
journal = j-PARALLEL-COMPUTING,
volume = "19",
number = "12",
pages = "1375--1391",
month = dec,
year = "1993",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Mon Apr 14 12:05:41 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4240P (Parallel
programming and algorithm theory)",
corpsource = "Inst. of Appl. Math. and Stat., Tech. Univ. Munchen,
Germany",
keywords = "communication; communication complexity; communication
overheads; complexity; computational; Data;
differential equations; distributed memory
multiprocessor; domain decomposition methods;
efficiency; parallel algorithms; partial; performance;
speedup",
treatment = "T Theoretical or Mathematical",
xxnote = "Is first author Hoffmann or Hoffman??",
}
@Article{Huang:1993:DDD,
author = "Lan Chieh Huang",
title = "Domain decomposition for the difference solution of
incompressible {Navier--Stokes} equations",
journal = "Chinese J. Numer. Math. Appl.",
volume = "15",
number = "1",
pages = "30--47",
year = "1993",
ISSN = "0899-4358",
MRclass = "65M55 (76D05 76M25)",
MRnumber = "1600563",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Chinese Journal of Numerical Mathematics and
Applications",
}
@Book{Ilin:1993:VMT,
editor = "V. P. Il{\cprime}in",
title = "Vychislitelnye metody i tekhnologiya resheniya zadach
matematicheskoi fiziki",
publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "169",
year = "1993",
MRclass = "65-06",
MRnumber = "1351542 (96c:65007)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Israeli:1993:DDM,
author = "M. Israeli and L. Vozovoi and A. Averbuch",
title = "Domain decomposition methods for solving parabolic
{PDEs} on multiprocessors",
journal = j-APPL-NUM-MATH,
volume = "12",
number = "1--3",
pages = "193--212",
month = may,
year = "1993",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65M55",
MRnumber = "94e:65105",
bibdate = "Sat Feb 8 10:09:54 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
note = "Special issue to honor Professor Saul Abarbanel on his
sixtieth birthday (Neveh, 1992).",
acknowledgement = ack-nhfb,
}
@Article{Israeli:1993:PIA,
author = "M. Israeli and L. Vozovoi and A. Averbuch",
title = "Parallelizing implicit algorithms for time-dependent
problems by parabolic domain decomposition",
journal = j-J-SCI-COMPUT,
volume = "8",
number = "2",
pages = "151--166",
year = "1993",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/BF01060870",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "65N35 (65N55)",
MRnumber = "1242959 (94i:65124b)",
MRreviewer = "Serge Nicaise",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
}
@Article{Kalia:1993:PAM,
author = "R. K. Kalia and A. Nakano and D. L. Greenwell and P.
Vashishta and S. W. {de Leeuw}",
title = "Parallel algorithms for molecular dynamics simulations
on distributed-memory {MIMD} machines",
journal = j-SUPERCOMPUTER,
volume = "10",
number = "2",
pages = "11--25",
month = mar,
year = "1993",
CODEN = "SPCOEL",
ISSN = "0168-7875",
bibdate = "Wed Mar 18 08:37:01 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/supercom.bib",
acknowledgement = ack-nhfb,
affiliation = "Concurrent Comput. Lab. for Mater. Simulations,
Louisiana State Univ., Baton Rouge, LA, USA",
classification = "C5220P (Parallel architecture); C7320 (Physics and
Chemistry)C4240P (Parallel programming and algorithm
theory)",
corpsource = "Concurrent Comput. Lab. for Mater. Simulations,
Louisiana State Univ., Baton Rouge, LA, USA",
keywords = "8-processor Intel iPSC/860; communication time;
distributed memory systems; distributed-memory MIMD
machines; domain decomposition; forces; Lennard-Jones
system; linked-list scheme; load balancing; molecular
dynamics method; molecular dynamics simulations;
multiple- time-step approach; parallel algorithms;
particle decomposition; physics computing; potential
energy",
pubcountry = "Netherlands",
treatment = "P Practical",
}
@Book{Khoromskij:1993:CEC,
author = "B. N. Khoromskij and G. E. Mazurkevich and {\`E}. G.
Nikonov",
title = "Cost-effective computations with boundary interface
operators in elliptic problems",
publisher = "Ob\cdprime ed. Inst. Yadernykh Issled.",
address = "Dubna, USSR",
pages = "25",
year = "1993",
MRclass = "65N55 (47G30)",
MRnumber = "1243879 (94m:65188)",
MRreviewer = "Jan Mandel",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
Yadernykh Issledovani\u\i. Dubna} [Communications of
the Joint Institute for Nuclear Research. Dubna],
E11-93-163",
acknowledgement = ack-nhfb,
}
@Article{Khoromskij:1993:SEP,
author = "B. N. Khoromskij and W. L. Wendland",
title = "Spectrally equivalent preconditioners for boundary
equations in substructuring techniques",
journal = j-EW-J-NUM-MATH,
volume = "1",
number = "1",
pages = "1--26",
year = "1993",
CODEN = "EJNMEA",
ISSN = "0928-0200",
MRclass = "65F10 (65N30)",
MRnumber = "1253625 (94j:65048)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "East-West Journal of Numerical Mathematics",
}
@Article{Kurbatov:1993:SEC,
author = "A. A. Kurbatov",
title = "Some estimates concerning the overlapping domain
decomposition method for the convection-diffusion
equation",
journal = j-EW-J-NUM-MATH,
volume = "1",
number = "4",
pages = "303--309",
year = "1993",
CODEN = "EJNMEA",
ISSN = "0928-0200",
MRclass = "65M55 (65M15 76M25 76Rxx)",
MRnumber = "1318808 (95m:65158)",
MRreviewer = "Bruno Scheurer",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "East-West Journal of Numerical Mathematics",
}
@InCollection{Laevskii:1993:DDP,
author = "Yu. M. Laevski{\u\i}",
booktitle = "{Computing methods and technology for solving problems
in mathematical physics (Russian)}",
title = "Domain decomposition for parabolic problems with
discontinuous solutions, and the penalty method",
publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "3--29",
year = "1993",
MRclass = "65M55",
MRnumber = "1351543 (96f:65128)",
MRreviewer = "Snezhana Gocheva-Ilieva",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Laevskii:1993:EID,
author = "Yu. M. Laevski{\u\i}",
booktitle = "{Computing methods and technology for solving problems
in mathematical physics (Russian)}",
title = "Explicit-implicit domain decomposition method for
solving parabolic equations",
publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "30--46",
year = "1993",
MRclass = "65M55",
MRnumber = "1351544 (96f:65129)",
MRreviewer = "Snezhana Gocheva-Ilieva",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Book{Laevskii:1993:MDO,
author = "Yu. M. Laevski{\u\i} and S. A. Litvinenko",
title = "{O} metode dekompozitsii oblasti s pokomponentnym
rasshchepleniem resheniya parabolicheskikh uravnenii",
volume = "991",
publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "ii + 37",
year = "1993",
MRclass = "65M55 (65N55)",
MRnumber = "1282722 (95b:65114)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "{\cyr Preprint} [Preprint]",
acknowledgement = ack-nhfb,
}
@Book{Laevskii:1993:MKE,
author = "Yu. M. Laevski{\u\i}",
title = "Metod konechnykh elementov resheniya mnogomernykh
parabolicheskikh uravnenii",
publisher = "Novosibirsk. Gos. Univ.",
address = "Novosibirsk, USSR",
pages = "104",
year = "1993",
ISBN = "5-230-13543-3",
ISBN-13 = "978-5-230-13543-2",
MRclass = "65-01 (65M55 65M60)",
MRnumber = "1449138 (97m:65004)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Lai:1993:DDM,
author = "C.-H. Lai",
title = "Domain decomposition methods for semiconductor device
problems on a {Cray S-MP}",
journal = j-IJSA,
volume = "7",
number = "4",
pages = "337--348",
month = "Winter",
year = "1993",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibdate = "Tue Feb 18 09:47:23 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover
library database",
acknowledgement = ack-nhfb,
affiliation = "Centre for Numerical Modelling and Process Anal.,
Greenwich Univ., London, UK",
}
@Article{Lai:1993:SSD,
author = "C.-H. Lai and H. J. J. {te Riele}",
title = "Solving some {$1$-D} semiconductor device problems on
a matrix coprocessor using a domain decomposition
method",
journal = j-SUPERCOMPUTER,
volume = "10",
number = "1",
pages = "24--32",
month = jan,
year = "1993",
CODEN = "SPCOEL",
ISSN = "0168-7875",
bibdate = "Wed Mar 18 08:37:01 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/supercom.bib;
Parallel/mgnet.bib; Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
affiliation = "Sch. of Math., Stat. and Comput., Greenwich Univ.,
London, UK",
classification = "C5440 (Multiprocessor systems and techniques);
C7410D (Electronic engineering)",
corpsource = "Sch. of Math., Stat. and Comput., Greenwich Univ.,
London, UK",
keywords = "1-D; coarse-grained; Cray S-MP; digital simulation;
electronic engineering; matrix coprocessor;
nonoverlapped domain decomposition; parallel computer;
satellite computers; semiconductor device models;
semiconductor device problems; shared memory; shared
memory systems",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Li:1993:DDM,
author = "Cui Hua Li and Kai Tai Li",
title = "The domain decomposition method for fracture
problems",
journal = j-J-NUMER-METHODS-COMPUT-APPL,
volume = "14",
number = "4",
pages = "272--279",
year = "1993",
ISSN = "1000-3266",
MRclass = "73V20 (65N55 73M25)",
MRnumber = "1264957 (95c:73090)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal on Numerical Methods and Computer
Applications. Shuzhi Jisuan yu Jisuanji Yingyong",
}
@Article{Liang:1993:NCD,
author = "Guo-ping Liang and Jiang-heng He",
title = "The non-conforming domain decomposition method for
elliptic problems with {Lagrangian} multipliers",
journal = "Chinese J. Numer. Math. Appl.",
volume = "15",
number = "1",
pages = "8--19",
year = "1993",
ISSN = "0899-4358",
MRclass = "65N55",
MRnumber = "1600626",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Chinese Journal of Numerical Mathematics and
Applications",
}
@Book{Lions:1993:BVP,
editor = "J.-L. Lions and C. Baiocchi",
title = "Boundary value problems for partial differential
equations and applications",
volume = "29",
publisher = pub-MASSON,
address = pub-MASSON:adr,
pages = "xii + 460",
year = "1993",
ISBN = "2-225-84334-1",
ISBN-13 = "978-2-225-84334-1",
MRclass = "35-06",
MRnumber = "1260434 (94i:35002)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Dedicated to E. Magenes",
series = "RMA: Research Notes in Applied Mathematics",
acknowledgement = ack-nhfb,
}
@InProceedings{Mandel:1993:HDD,
author = "Jan Mandel",
editor = "Alfio Quarteroni",
booktitle = "Sixth Conference on Domain Decomposition Methods for
Partial Differential Equations",
title = "Hybrid Domain Decomposition with Unstructured
Subdomains",
publisher = pub-AMS,
address = pub-AMS:adr,
year = "1993",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Held in Como, Italy, June 15--19,1992. To appear",
}
@Article{Mathew:1993:SAIa,
author = "Tarek P. Mathew",
title = "{Schwarz} alternating and iterative refinement methods
for mixed formulations of elliptic Problems, {Part I}:
Algorithms and Numerical Results",
journal = j-NUM-MATH,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
}
@Article{Mathew:1993:SAIb,
author = "Tarek P. Mathew",
title = "{Schwarz} alternating and iterative refinement methods
for mixed formulations of elliptic Problems, {Part II}:
{Theory}",
journal = j-NUM-MATH,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
}
@Book{Miller:1993:AAC,
editor = "J. J. H. Miller",
title = "Applications of advanced computational methods for
boundary and interior layers",
publisher = pub-BOOLE,
address = pub-BOOLE:adr,
pages = "viii + 215",
year = "1993",
ISBN = "1-85748-001-5; 1-85748-002-3",
ISBN-13 = "978-1-85748-001-6; 978-1-85748-002-3",
MRclass = "65-06 (76-06)",
MRnumber = "1245729 (94e:65006)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Advanced Computational Methods for Boundary and
Interior Layers, 2",
acknowledgement = ack-nhfb,
}
@Article{Nguyen:1993:NSA,
author = "Hoa D. Nguyen and Seungho Paik",
title = "A noniterative solution approach for parallel
pseudospectral domain decomposition",
journal = j-J-SCI-COMPUT,
volume = "8",
number = "4",
pages = "357--372",
year = "1993",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/BF01061144",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "65N50 (76M25)",
MRnumber = "1252148",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
}
@InCollection{Ohring:1993:MDD,
author = "Sabine R. {\"O}hring and Sajal K. Das",
booktitle = "{Algorithms and computation (Hong Kong, 1993)}",
title = "Mapping dynamic data and algorithm structures into
product networks",
volume = "762",
publisher = pub-SV,
address = pub-SV:adr,
pages = "147--156",
year = "1993",
MRclass = "68M10 (68M07 68Q10)",
MRnumber = "1288771 (95f:68022)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Comput. Sci.",
acknowledgement = ack-nhfb,
}
@Article{Oswald:1993:BPE,
author = "P. Oswald",
title = "On a {BPX-preconditioner} for {$ {\rm P}1 $}
elements",
journal = j-COMPUTING,
volume = "51",
number = "2",
pages = "125--133",
year = "1993",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02243847",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65F35 (65F10 65N30)",
MRnumber = "1248895 (94k:65064)",
MRreviewer = "Ljiljana Petkovi{\'c}",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archives for Scientific Computing",
}
@Article{Ovtchinnikov:1993:CWC,
author = "E. Ovtchinnikov",
title = "On the construction of a well-conditioned basis for
the projection decomposition method",
journal = j-CALCOLO,
volume = "30",
number = "3",
pages = "255--271 (1994)",
year = "1993",
CODEN = "CDABAE",
DOI = "https://doi.org/10.1007/BF02575856",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
MRclass = "65N30",
MRnumber = "1353270 (96g:65110)",
MRreviewer = "D. Schultz",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory
of Computation",
}
@TechReport{Pavarino:1993:ISM,
author = "Luca F. Pavarino and Olof B. Widlund",
title = "Iterative Substructuring Methods for p-version Finite
Elements in Three Dimensions",
institution = "Courant Institute of Mathematical Sciences, Department
of Computer Science",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "To appear",
}
@TechReport{Pavarino:1993:SML,
author = "Luca F. Pavarino",
title = "{Schwarz} Methods with Local Refinement for the
p-version Finite Element Method",
number = "TR93-01",
institution = "Rice University, Department of Computational and
Applied Mathematics",
month = jan,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Submitted to Numer. Math.",
}
@InProceedings{Pavarino:1993:SSA,
author = "Luca F. Pavarino",
editor = "Alfio Quarteroni",
booktitle = "Sixth Conference on Domain Decomposition Methods for
Partial Differential Equations",
title = "Some {Schwarz} Algorithms for the p-version Finite
Element Method",
publisher = pub-AMS,
address = pub-AMS:adr,
year = "1993",
bibdate = "Wed May 4 18:52:09 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
note = "Held in Como, Italy, June 15--19,1992. To appear.
Technical report 614, Department of Computer Science,
Courant Institute",
}
@InCollection{Peric:1993:PMS,
author = "M. Peri{\'c} and E. Schreck",
booktitle = "{Numerische Algorithmen auf Transputer-Systemen
(Heidelberg, 1991)}",
title = "{Ein paralleler Mehrgitteralgorithmus zur
Str{\"o}mungsberechnung mittels Gebietszerlegung}.
({German}) [{A} parallel multi-lattice algorithm for
flow computation via area dismantling]",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "189--206",
year = "1993",
MRclass = "65N06 (65Y05)",
MRnumber = "1239223",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Teubner Skr. Numer.",
acknowledgement = ack-nhfb,
language = "German",
}
@InProceedings{Prager:1993:TPI,
author = "Milan Pr{\'a}ger",
booktitle = "{Proceedings of ISNA '92---International Symposium on
Numerical Analysis, Part II (Prague, 1992)}",
title = "A two parameter iterative method for solving algebraic
systems of domain decomposition type",
volume = "38(6)",
publisher = "Mathematical Institute, Academy of Science of the
Czech Republic",
address = "Prague, Czech Republic",
pages = "470--478",
year = "1993",
CODEN = "APMTEO",
ISSN = "0862-7940",
MRclass = "65F10 (65M55 65N22 65N55)",
MRnumber = "1241450 (94i:65046)",
MRreviewer = "Li Shan Kang",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = j-APPL-MATH,
acknowledgement = ack-nhfb,
fjournal = "Applications of Mathematics",
}
@TechReport{Rice:1993:CAN,
author = "John R. Rice and E. A. Vavalis and D. Yang",
title = "Convergence Analysis of a Non-Overlapping Domain
Decomposition Method for Elliptic {PDEs}",
type = "Technical report",
number = "TR-93-048",
institution = inst-CS-PURDUE,
address = inst-CS-PURDUE:adr,
pages = "8",
month = jul,
year = "1993",
bibdate = "Sun Dec 30 13:46:29 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib",
URL = "http://www.cs.purdue.edu/research/technical_reports/1993/TR%2093-048.pdf",
acknowledgement = ack-nhfb,
}
@Article{Roeck:1993:NES,
author = "Yann-Herve De Roeck",
title = "Nonlinear elasticity solved by a domain decomposition
method on a hypercube",
journal = j-APPL-NUM-MATH,
volume = "12",
number = "5",
pages = "459--471",
year = "1993",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
bibdate = "Fri Oct 22 11:34:57 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
}
@Article{Rui:1993:SAM,
author = "Hong Xing Rui",
title = "A {Schwarz} alternating method for a class of
parabolic equations and error analyses",
journal = "Numer. Math. J. Chinese Univ.",
volume = "15",
number = "4",
pages = "360--368",
year = "1993",
ISSN = "1000-081X",
MRclass = "65M55 (65M12)",
MRnumber = "1271307 (94m:65152)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}
@Article{Rusten:1993:SPE,
author = "Torgeir Rusten and Ragnar Winther",
title = "Substructure preconditioners for elliptic saddle point
problems",
journal = j-MATH-COMPUT,
volume = "60",
number = "201",
pages = "23--48",
month = jan,
year = "1993",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N55 (65F10 65N30 76S05)",
MRnumber = "93d:65108",
MRreviewer = "M. M. Sussman",
bibdate = "Tue Mar 25 15:38:13 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290T (Finite element analysis); B0290P (Differential
equations); B0290H (Linear algebra); C4185 (Finite
element analysis); C4170 (Differential equations);
C4140 (Linear algebra)",
corpsource = "Dept. of Math., Oslo Univ., Blindern, Norway",
keywords = "analysis; boundary conditions; boundary-value
problems; Dirichlet boundary conditions;
discretizations; domain decomposition preconditioners;
elliptic equations; elliptic saddle point; finite
element; interior boundary; iteration; iterative
methods; linear systems; matrix algebra; mesh
parameter; minimum residual method; mixed finite
element; Neumann; problems; second-order elliptic
boundary value",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Sarkis:1993:TLS,
author = "Marcus Sarkis",
title = "Two-Level {Schwarz} Methods for Nonconforming Finite
Elements and Discontinuous Coefficients",
number = "629",
institution = "Courant Institute of Mathematical Sciences, Department
of Computer Science",
month = mar,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Shishkin:1993:IGM,
author = "G. I. Shishkin",
title = "Iterative grid methods for singularly perturbed
elliptic equations degenerating into zero-order ones",
journal = j-RUSS-J-NUM-ANAL-MATH-MODEL,
volume = "8",
number = "4",
pages = "341--369",
year = "1993",
CODEN = "RJNMEH",
DOI = "https://doi.org/10.1515/rnam.1993.8.4.341",
ISSN = "0927-6467",
MRclass = "65N06 (65N55)",
MRnumber = "1244045 (95h:65075)",
MRreviewer = "V. D. Glushenkov",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Russian Journal of Numerical Analysis and Mathematical
Modelling",
}
@InProceedings{Singh:1993:PAF,
author = "Jaswinder P. Singh and Chris Holt and John L. Hennessy
and Anoop Gupta",
title = "A Parallel Adaptive Fast Multipole Method",
crossref = "IEEE:1993:PSP",
pages = "54--67",
year = "1993",
bibdate = "Tue Oct 27 18:18:33 MST 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib;
http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib",
acknowledgement = ack-nhfb,
affiliation = "Stanford Univ",
affiliationaddress = "Stanford, CA, USA",
classification = "723; 723.5; C4190 (Other numerical methods); C4240P
(Parallel programming and algorithm theory); C7320
(Physics and chemistry computing); C7350 (Astronomy and
astrophysics computing)",
corpsource = "Comput. Sys. Lab., Stanford Univ., CA, USA",
keywords = "45-fold speedups; 48-processor Stanford DASH machine;
Adaptive fast multipole method; architectures;
astronomy computing; Computer simulation; Data
locality; data locality; effective parallel
performance; Fast multipole method (FMM); galactic
simulations; load balancing; N-body applications;
N-body problems; parallel adaptive fast multipole
method; parallel algorithms; Parallel processing
systems; physics computing; representative N- body
application; resource allocation; shared address space
multiprocessor; shared memory systems; Stanford dash
machine; Static domain decomposition; Two-ring Kendall
Square Research KSR-1; two-ring Kendall Square Research
KSR-1; uniform FMM",
sponsororg = "IEEE; ACM SIGARCH",
treatment = "P Practical",
xxpages = "54--65",
}
@Article{Smith:1993:PIIa,
author = "Barry F. Smith",
title = "A Parallel Implementation of an Iterative
Substructuring Algorithm for Problems in Three
Dimensions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "14",
number = "2",
pages = "406--423",
month = mar,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@Article{Strikwerda:1993:DDM,
author = "John C. Strikwerda and Carl D. Scarbnick",
title = "A domain decomposition method for incompressible
viscous flow",
journal = j-SIAM-J-SCI-COMP,
volume = "14",
number = "1",
pages = "49--67",
month = jan,
year = "1993",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55 (76D05 76D07 76M20)",
MRnumber = "93h:65156",
bibdate = "Tue Apr 29 18:15:07 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
}
@Article{Swann:1993:ULM,
author = "Howard Swann",
title = "On the use of {Lagrange} multipliers in domain
decomposition for solving elliptic problems",
journal = j-MATH-COMPUT,
volume = "60",
number = "201",
pages = "49--78",
month = jan,
year = "1993",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N30 (65N15 65N35)",
MRnumber = "93d:65101",
bibdate = "Tue Mar 25 15:38:13 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290T (Finite element analysis); B0290P (Differential
equations); B0290B (Error analysis in numerical
methods); C4185 (Finite element analysis); C4170
(Differential equations); C4110 (Error analysis in
numerical methods)",
corpsource = "Dept. of Math. and Comput. Sci., San Jose State Univ.,
CA, USA",
keywords = "analysis; convergence; convergence of numerical
methods; domain decomposition; elliptic equations;
elliptic problems; equations; error; error estimates;
finite element analysis; finite element approximations;
homogeneous Dirichlet problem; hybrid method; Lagrange;
multipliers; partial differential; PDE; primal;
selfadjoint equations; variational techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Szyld:1993:VAS,
author = "Daniel B. Szyld and Olof B. Widlund",
title = "Variational Analysis of Some Conjugate Gradient
Methods",
journal = j-EW-J-NUM-MATH,
volume = "1",
number = "1",
pages = "51--74",
year = "1993",
MRclass = "65F10",
MRnumber = "94m:65058",
MRreviewer = "Zuhe Shen",
bibdate = "Fri Oct 23 19:09:40 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}
@InCollection{Tallec:1993:DDM,
author = "P. Le Tallec and J. A. Sousa Rodrigues",
booktitle = "{Finite elements in fluids, Part I, II (Barcelona,
1993)}",
title = "Domain decomposition method with nonmatching grids
applied to fluid dynamics",
publisher = "Centro Internac. M{\'e}todos Num{\'e}r. Ing.",
address = "Barcelona, Spain",
pages = "418--426",
year = "1993",
MRclass = "76M25 (65N55 76M10)",
MRnumber = "1292054",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Tallec:1993:NND,
author = "Patric Le Tallec",
title = "Neumann-{Neumann} domain decomposition algorithms for
solving {$2$D} elliptic problems with nonmatching
grids",
journal = j-EW-J-NUM-MATH,
volume = "1",
number = "2",
pages = "129--146",
year = "1993",
CODEN = "EJNMEA",
ISSN = "0928-0200",
MRclass = "65N12 (65N55)",
MRnumber = "1253632 (95b:65129)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "East-West Journal of Numerical Mathematics",
}
@InCollection{Timmermans:1993:SMA,
author = "L. J. P. Timmermans and F. N. {van de Vosse}",
booktitle = "{Numerical methods for advection-diffusion problems}",
title = "Spectral methods for advection-diffusion problems",
volume = "45",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "171--194",
year = "1993",
MRclass = "76M25 (65M70)",
MRnumber = "1251541 (94k:76079)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@Article{Tzaferopoulos:1993:DCS,
author = "M. A. Tzaferopoulos and P. D. Panagiotopoulos",
title = "Delamination of composites as a substationarity
problem: numerical approximation and algorithms",
journal = j-COMPUT-METH-APPL-MECH-ENG,
volume = "110",
number = "1--2",
pages = "63--85",
year = "1993",
CODEN = "CMMECC",
DOI = "https://doi.org/10.1016/0045-7825(93)90020-X",
ISSN = "0045-7825, 0374-2830",
MRclass = "73K20 (73V05 73V25)",
MRnumber = "1255012 (94i:73067)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@Book{Vajtersic:1993:AEP,
author = "Mari{\'a}n Vajter{\v{s}}ic",
title = "Algorithms for elliptic problems",
volume = "58",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xviii + 292",
year = "1993",
ISBN = "0-7923-1918-4",
ISBN-13 = "978-0-7923-1918-4",
MRclass = "65-02 (65N06 65Y05)",
MRnumber = "1246333 (95a:65003)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Efficient sequential and parallel solvers, Translated
from the 1988 Slovak edition by Jozef Draveck{\'y}",
series = "Mathematics and its Applications (East European
Series)",
acknowledgement = ack-nhfb,
}
@InProceedings{VanderWijngaart:1993:EID,
author = "Rob F. {Van der Wijngaart}",
title = "Efficient Implementation of a {3-Dimensional ADI}
Method on the {iPSC\slash 860}",
crossref = "IEEE:1993:PSP",
pages = "102--111",
year = "1993",
bibdate = "Wed Apr 15 12:04:03 MDT 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib",
acknowledgement = ack-nhfb,
affiliation = "NASA Ames Research Cent",
affiliationaddress = "Moffett Field, CA, USA",
classification = "641.2; 723; 921; C4170 (Differential equations);
C4240P (Parallel programming and algorithm theory);
C6120 (File organisation)",
corpsource = "NASA Ames Res. Center, Moffett Field, CA, USA",
keywords = "3-dimensional ADI method; Algorithms; alternating
direction implicit; Bruno-Cappello decomposition;
computations-communications overlap; Computer aided
analysis; Differential equations; distributed memory
systems; domain decomposition strategies; Heat
transfer; Implicit numerical algorithms; Intel
iPSC/860; Intel iPSC/860 processor; load balancing;
memory efficiency; MIMD distributed memory parallel
computer; Network latency; network latency; numerical
algorithm; numerical analysis; optimal computational
speed; parallel algorithms; Parallel processing
systems; partial differential equations; processor idle
time; resource allocation; storage allocation; storage
requirements; Three dimensional heat equation;
Three-dimensional adi method; three-dimensional heat
equation; three-dimensional partial differential
equations",
sponsororg = "IEEE; ACM SIGARCH",
treatment = "T Theoretical or Mathematical",
}
@Article{Yang:1993:SDD,
author = "Dan-ping Yang",
title = "{Schwarz} domain decomposition algorithms for boundary
element method",
journal = "Numer. Math. J. Chinese Univ. (English Ser.)",
volume = "2",
number = "2",
pages = "154--161",
year = "1993",
ISSN = "1004-8979 (print), 2079-7338 (electronic)",
MRclass = "65M55",
MRnumber = "1390728 (97b:65112)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. (English Series)",
}
@Article{Zhang:1993:OPD,
author = "Sheng Zhang",
title = "Optimal preconditioning in the domain decomposition
method for second-order elliptic equations",
journal = "Math. Numer. Sinica",
volume = "15",
number = "2",
pages = "235--241",
year = "1993",
ISSN = "0254-7791",
MRclass = "65N55",
MRnumber = "1392604 (97a:65110)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Adzic:1994:DDS,
author = "Nevenka Ad{\v{z}}i{\'c}",
title = "Domain decomposition for spectral approximation of the
layer solution",
journal = "Zb. Rad. Prirod.-Mat. Fak. Ser. Mat.",
volume = "24",
number = "1",
pages = "347--357",
year = "1994",
ISSN = "0352-0900",
MRclass = "65L50 (34A45)",
MRnumber = "1333594 (96b:65076)",
MRreviewer = "Beny Neta",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Zbornik Radova Prirodno-Matematichkog Fakulteta.
Serija za Matematiku. Review of Research. Faculty of
Science. Mathematics Series",
}
@InProceedings{Ambrosiano:1994:HCS,
author = "J. J. Ambrosiano and J. Bolstad and A. J. Bourgeois
and J. C. Brown",
title = "High-Performance Climate System Modeling Using a
Domain and Task Decomposition Message-Passing
Approach",
crossref = "IEEE:1994:PSH",
pages = "397--405",
year = "1994",
bibdate = "Mon Aug 26 10:38:41 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Bjorstad:1994:PDDa,
author = "P. E. Bj{\o}rstad and W. M. {Coughran, Jr.} and E. H.
Grosse",
title = "Parallel Domain Decomposition Applied to Coupled
Transport Equations",
type = "Numerical Analysis Manuscript",
number = "94-3",
institution = pub-ATT-BELL,
address = pub-ATT-BELL:adr,
year = "1994",
bibdate = "Fri Nov 11 15:54:40 MST 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/coughran-william-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/coughran-william-m.bib",
URL = "ftp://netlib.bell-labs.com/netlib/att/cs/doc/94/4-03.ps.gz",
acknowledgement = ack-nhfb,
}
@InProceedings{Bubak:1994:FLG,
author = "M. Bubak and J. Moscinski and R. Slota",
title = "{FHP} lattice gas on networked workstations",
crossref = "Gruber:1994:PJE",
pages = "427--430",
year = "1994",
bibdate = "Sun Dec 22 10:20:45 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
affiliation = "Inst. of Control Sci., Cracow, Poland",
classification = "A0550 (Lattice theory and statistics; A4710 (General
fluid dynamics theory, simulation and other
computational methods); C4240P (Parallel programming
and algorithm theory); C6110P (Parallel programming);
C6150N (Distributed systems software); C6185
(Simulation techniques); C7320 (Physics and chemistry
computing); Ising problems)",
keywords = "Computer power; Domain decomposition; Dynamic load
balancing; FHP lattice gas; Fluid flows; Lattice gas
simulation; Networked workstations; Normal load;
Parallel algorithm; Parallel distributed program; PVM",
thesaurus = "Digital simulation; Flow simulation; Fluid dynamics;
Lattice gas; Local area networks; Operating systems
[computers]; Parallel algorithms; Parallel programming;
Physics computing; Resource allocation; Workstations",
}
@InProceedings{Bubak:1994:IPL,
author = "M. Bubak and J. Moscinski and R. Slota",
title = "Implementation of Parallel Lattice Gas Program on
Workstations under {PVM}",
crossref = "Dongarra:1994:PSC",
pages = "136--146",
year = "1994",
bibdate = "Wed Apr 16 06:39:19 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
affiliation = "Inst. of Comput. Sci, Akademia Gorniczo-Hutnicza,
Cracow, Poland",
classification = "A0270 (Computational techniques); A0545 (Theory and
models of chaotic systems); A0550 (Lattice theory and
statistics; A4710 (General fluid dynamics theory,
simulation and other computational methods); C4220
(Automata theory); C4240P (Parallel programming and
algorithm theory); C6110P (Parallel programming); C7320
(Physics and chemistry computing); Ising problems)",
conflocation = "Lyngby, Denmark; 20-23 June 1994",
conftitle = "Proceedings of Workshop on Parallel Scientific
Computing",
corpsource = "Inst. of Comput. Sci, Akademia Gorniczo-Hutnicza,
Cracow, Poland",
keywords = "algorithms; balancing; cellular automata; domain
decomposition; Domain decomposition; dynamic load;
Dynamic load balancing; flow simulation; fluid flow
simulation; Fluid flow simulation; lattice gas; lattice
gas automata program; Lattice gas automata program;
parallel; parallel lattice gas program; Parallel
lattice gas program; physics computing",
pubcountry = "Germany",
sponsororg = "Danish Comput. Centre for Res. and Educ.; Inst. Math.
Modelling; Tech. Univ. Denmark",
thesaurus = "Cellular automata; Flow simulation; Lattice gas;
Parallel algorithms; Physics computing",
treatment = "T Theoretical or Mathematical",
}
@Article{Cai:1994:CSD,
author = "Xiao-Chuan Cai and William D. Gropp and David E.
Keyes",
title = "A Comparison of Some Domain Decomposition and {$ I L U
$} Preconditioned Iterative Methods for Nonsymmetric
Elliptic Problems",
journal = j-NUM-LIN-ALG-APPL,
volume = "1",
number = "5",
pages = "477--504",
year = "1994",
CODEN = "NLAAEM",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "65N55",
MRnumber = "95i:65172",
bibdate = "Thu Jan 23 18:22:28 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}
@InCollection{Cai:1994:PIM,
author = "X.-C. Cai and W. D. Gropp and D. E. Keyes and M. D.
Tidriri",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Parallel implicit methods for aerodynamics",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "465--470",
year = "1994",
MRclass = "76M25 (76G25)",
MRnumber = "1611307",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Camilli:1994:DDM,
author = "F. Camilli and M. Falcone and P. Lanucara and A.
Seghini",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "A domain decomposition method for {Bellman}
equations",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "477--483",
year = "1994",
MRclass = "65N55 (49L25)",
MRnumber = "1312414 (95j:65159)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@Article{Chan:1994:ASD,
author = "Tony F. Chan and Jun Zou",
title = "Additive {Schwarz} domain decomposition methods for
elliptic problems on unstructured meshes",
journal = j-NUMER-ALGORITHMS,
volume = "8",
number = "2--4",
pages = "329--346",
month = jan,
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
MRclass = "65N55 (65N30)",
MRnumber = "95i:65174",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See erratum \cite{Chan:1995:EAS}.",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); B0290T (Finite
element analysis); C4170 (Differential equations);
C4185 (Finite element analysis)",
corpsource = "Dept. of Math., California Univ., Los Angeles, CA,
USA",
keywords = "additive Schwarz domain decomposition methods;
convergence of numerical methods; elliptic equations;
elliptic problems; finite element problems; global
coarse mesh; mesh generation; optimal convergence;
Schwarz domain decomposition methods; structured
meshes; unstructured meshes",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1994:DDM,
author = "Tony F. Chan and Barry F. Smith",
title = "Domain decomposition and multigrid algorithms for
elliptic problems on unstructured meshes",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "2",
pages = "171--182",
year = "1994",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
bibdate = "Mon Sep 6 12:28:29 MDT 2010",
bibsource = "http://etna.mcs.kent.edu/;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.2.1994/pp171-182.dir/pp171-182.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
}
@Article{Chan:1994:EVV,
author = "Tony F. Chan and Tarek P. Mathew and Jian Ping Shao",
title = "Efficient Variants of the Vertex Space Domain
Decomposition Algorithm",
journal = j-SIAM-J-SCI-COMP,
volume = "15",
number = "6",
pages = "1349--1374",
month = nov,
year = "1994",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55",
MRnumber = "95m:65209",
MRreviewer = "J. W. Neuberger",
bibdate = "Tue Apr 29 18:25:50 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
}
@Article{Chu:1994:CGD,
author = "De Lin Chu and Xian Cheng Hu",
title = "The convergence of {Glowinski}'s domain decomposition
algorithm for the {Stokes} equations",
journal = "Acta Math. Appl. Sinica",
volume = "17",
number = "4",
pages = "489--500",
year = "1994",
CODEN = "YYSPDS",
ISSN = "0254-3079",
MRclass = "65N12 (65N55 76D07 76M25)",
MRnumber = "1334368 (96d:65177)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematicae Applicatae Sinica. Yingyong Shuxue
Xuebao",
}
@Article{Chu:1994:DDM,
author = "De Lin Chu and Xian Cheng Hu",
title = "A domain decomposition method for solving second-order
elliptic equations with finite difference
approximations",
journal = "Math. Numer. Sinica",
volume = "16",
number = "3",
pages = "233--246",
year = "1994",
ISSN = "0254-7791",
MRclass = "65N55",
MRnumber = "1392848 (97a:65103)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Ciarlet:1994:IDD,
author = "P. Ciarlet",
title = "Implementation of a Domain Decomposition Method
Well-Suited for (Massively) Parallel Architectures",
journal = j-INT-J-HIGH-SPEED-COMPUTING,
volume = "6",
number = "1",
pages = "157--??",
year = "1994",
CODEN = "IHSCEZ",
ISSN = "0129-0533",
bibdate = "Mon Feb 25 11:19:25 MST 2002",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/ijhsc.bib; OCLC
Article1st database",
acknowledgement = ack-nhfb,
}
@InCollection{Coomer:1994:DDM,
author = "R. K. Coomer and I. G. Graham",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Domain decomposition methods for device modelling",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "491--496",
year = "1994",
MRclass = "65N55 (65F10)",
MRnumber = "1312415 (95j:65160)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Coron:1994:CBF,
author = "F. Coron",
booktitle = "{Computational aeronautical fluid dynamics (Antibes,
1989)}",
title = "Coupling {Boltzmann} and fluid equations",
volume = "44",
publisher = "Oxford Univ. Press",
address = "New York, NY, USA",
pages = "71--78",
year = "1994",
MRclass = "76P05 (76K05)",
MRnumber = "1383828 (97a:76107)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Inst. Math. Appl. Conf. Ser. New Ser.",
acknowledgement = ack-nhfb,
}
@Article{Dawson:1994:EIC,
author = "Clint N. Dawson and Todd F. Dupont",
title = "Explicit\slash Implicit, Conservative Domain
Decomposition Procedures for Parabolic Problems Based
on Block-Centered Finite Differences",
journal = j-SIAM-J-NUMER-ANAL,
volume = "31",
number = "4",
pages = "1045--1061",
month = aug,
year = "1994",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65M55 (65M06 65M12)",
MRnumber = "95c:65148",
MRreviewer = "Bruno Scheurer",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Dawson:1994:TGM,
author = "Clint N. Dawson and Mary F. Wheeler",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Two-grid methods for mixed finite element
approximations of nonlinear parabolic equations",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "191--203",
year = "1994",
MRclass = "65M60 (65M55)",
MRnumber = "1312392 (95j:65117)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@Article{Dryja:1994:DDA,
author = "Maksymilian Dryja and Olof B. Widlund",
title = "Domain Decomposition Algorithms with Small Overlap",
journal = j-SIAM-J-SCI-COMP,
volume = "15",
number = "3",
pages = "604--620",
month = may,
year = "1994",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55 (65F10)",
MRnumber = "95d:65102",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Tue Apr 29 18:25:50 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
note = "Iterative methods in numerical linear algebra (Copper
Mountain Resort, CO, 1992).",
acknowledgement = ack-nhfb,
}
@InProceedings{Ernst:1994:DDA,
author = "Oliver Ernst and Gene H. Golub",
title = "A domain decomposition approach to solving the
{Helmholtz} equation with a radiation boundary
condition",
crossref = "Quarteroni:1994:DDM",
pages = "177--192",
year = "1994",
MRclass = "65N55 (65F10)",
MRnumber = "95c:65210",
MRreviewer = "Jan Mandel",
bibdate = "Sun Jan 14 08:39:33 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/golub-gene-h.bib",
acknowledgement = ack-nhfb # " and " # ack-sf,
}
@Article{Escaig:1994:PMD,
author = "Y. Escaig and G. Touzot and M. Vayssade",
title = "Parallelization of a multilevel domain decomposition
method",
journal = j-COMPUT-SYST-ENG,
volume = "5",
number = "3",
pages = "253--263",
month = jun,
year = "1994",
CODEN = "COSEEO",
ISSN = "0956-0521",
bibdate = "Sun Dec 22 10:18:08 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
affiliation = "CRIHAN, Mont Saint Aignan, France",
classification = "C4185 (Finite element analysis); C5220P (Parallel
architecture); C5440 (Multiprocessing systems); C5470
(Performance evaluation and testing); C7310
(Mathematics computing)",
keywords = "CRAY Y-MP; Distributed memory machines; Distributed
memory systems; Ethernet network; Finite element
method; IBM RS/6000 workstations; Interface problem;
MIMD; Multilevel domain decomposition method; Multiple
instructions multiple data; Multiprocessor machines;
Parallel Virtual Machine; Performance; PVM; Shared
memory machine; Shared memory systems",
pubcountry = "UK",
thesaurus = "Cray computers; Distributed memory systems; Finite
element analysis; IBM computers; Mathematics computing;
Performance evaluation; Shared memory systems",
}
@Book{Evans:1994:PIM,
editor = "David J. Evans",
title = "Preconditioned iterative methods",
volume = "4",
publisher = "Gordon and Breach Science Publishers",
address = "Lausanne, Switzerland",
pages = "xii + 491",
year = "1994",
ISBN = "2-88124-956-6",
ISBN-13 = "978-2-88124-956-3",
MRclass = "65-06",
MRnumber = "1632352 (99d:65007)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Topics in Computer Mathematics",
acknowledgement = ack-nhfb,
}
@Article{Ewing:1994:APP,
author = "R. E. Ewing and R. D. Lazarov",
title = "Approximation of parabolic problems on grids locally
refined in time and space",
journal = j-APPL-NUM-MATH,
volume = "14",
number = "1--3",
pages = "199--211",
day = "14",
month = apr,
year = "1994",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65M06",
MRnumber = "1 273 825",
bibdate = "Wed Jul 28 14:35:41 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1994&volume=14&issue=1-3;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
note = "Proceedings of the Third ARO Workshop on Adaptive
Methods for Partial Differential Equations (Troy, NY,
1992)",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1994&volume=14&issue=1-3&aid=454",
acknowledgement = ack-nhfb,
affiliation = "Univ of Wyoming",
affiliationaddress = "Laramie, WY, USA",
classification = "921.1; 921.6",
journalabr = "Appl Numer Math",
keywords = "A posteriori error estimator; Approximation theory;
Composite grid system; Convergence of numerical
methods; Convergence theory; Domain decomposition
technique; Errors; Estimation; Finite difference
method; Galerkin method; Grids; Interpolation;
Iterative methods; Mathematical models; Piecewise
constant; Piecewise linear interpolation; Piecewise
linear techniques; Time dependent problems",
}
@Article{Falcone:1994:SAH,
author = "Maurizio Falcone and Piero Lanucara and Alessandra
Seghini",
title = "A splitting algorithm for {Hamilton--Jacobi--Bellman}
equations",
journal = j-APPL-NUM-MATH,
volume = "15",
number = "2",
pages = "207--218",
day = "13",
month = sep,
year = "1994",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "49L25 (65M55)",
MRnumber = "95h:49053",
MRreviewer = "Min Sun",
bibdate = "Wed Jul 28 14:35:48 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1994&volume=15&issue=2;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
note = "Innovative methods in numerical analysis (Bressanone,
1992).",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1994&volume=15&issue=2&aid=493",
acknowledgement = ack-nhfb,
affiliation = "Universita di Roma `La Sapienza'",
affiliationaddress = "Roma, Italy",
classification = "731.1; 921.2; 921.5; 921.6",
journalabr = "Appl Numer Math",
keywords = "Algorithms; Approximation theory; Computational
methods; Convergence of numerical methods; Differential
equations; Domain decomposition; Dynamic programming;
Function evaluation; Hamilton Jacobi Bellman equations;
Optimal control systems; Splitting algorithms;
Viscosity solutions",
}
@InCollection{Farhat:1994:TDD,
author = "Charbel Farhat and Po-Shu Chen",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Tailoring domain decomposition methods for efficient
parallel coarse grid solution and for systems with many
right-hand sides",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "401--406",
year = "1994",
MRclass = "65N55 (65Y05)",
MRnumber = "1312411",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@Article{Garbey:1994:DDS,
author = "Marc Garbey",
title = "Domain Decomposition to Solve Transition Layers and
Asymptotics",
journal = j-SIAM-J-SCI-COMP,
volume = "15",
number = "4",
pages = "866--891",
month = jul,
year = "1994",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65M55 (65M70)",
MRnumber = "95a:65157",
bibdate = "Tue Apr 29 18:25:50 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
}
@Article{Gastaldi:1994:DDT,
author = "Fabio Gastaldi and Lucia Gastaldi",
title = "On a domain decomposition for the transport equation:
theory and finite element approximation",
journal = j-IMA-J-NUMER-ANAL,
volume = "14",
number = "1",
pages = "111--135",
year = "1994",
CODEN = "IJNADH",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65N55 (35F15 76M25)",
MRnumber = "95a:65204",
MRreviewer = "G. Albinus",
bibdate = "Sat Dec 23 17:06:35 MST 2000",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Glowinski:1994:OSD,
author = "Roland Glowinski and Tsorng-Whay Pan and Jacques
P{\'e}riaux",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "A one shot domain decomposition/fictitious domain
method for the {Navier--Stokes} equations",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "211--222",
year = "1994",
MRclass = "65M55 (65M60 76D05 76M25)",
MRnumber = "1312393",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Griebel:1994:DOM,
author = "M. Griebel",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Domain-oriented multilevel methods",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "223--229",
year = "1994",
MRclass = "65N55",
MRnumber = "1312394",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@Article{Gu:1994:DDM,
author = "Jin Sheng Gu and Xian Cheng Hu",
title = "Domain decomposition methods for solving elliptic
problems with two nonoverlapping substructures",
journal = "Math. Numer. Sinica",
volume = "16",
number = "4",
pages = "432--447",
year = "1994",
ISSN = "0254-7791",
MRclass = "65N30",
MRnumber = "1393869 (97b:65130)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Gu:1994:ODD,
author = "Jin Sheng Gu and Xian Cheng Hu",
title = "Overlapping domain decomposition methods with multiple
subdomains for elliptic problems",
journal = "J. Tsinghua Univ.",
volume = "34",
number = "6",
pages = "50--57",
year = "1994",
CODEN = "QDXKE8",
ISSN = "1000-0054",
MRclass = "65N55 (65N12)",
MRnumber = "1350705 (96h:65146)",
MRreviewer = "Tsorng-Whay Pan",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Tsinghua University. Science and
Technology. Qinghua Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Gu:1994:PSA,
author = "Jin Sheng Gu and Xian Cheng Hu",
title = "The parallel {Schwarz} alternating method for
boundary-degenerate elliptic problems",
journal = "Numer. Math. J. Chinese Univ.",
volume = "16",
number = "2",
pages = "116--125",
year = "1994",
ISSN = "1000-081X",
MRclass = "65N30 (65N15)",
MRnumber = "1350921 (96i:65099)",
MRreviewer = "Sui Yang Chen",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}
@Article{He:1994:ASL,
author = "Zi Gan He and Chuan Hong Sun",
title = "The analysis of the separated-layers algorithm by
domain decomposition method",
journal = "J. Hydrodyn. Ser. B (English Ed.)",
volume = "6",
number = "3",
pages = "64--69",
year = "1994",
CODEN = "JOUHEI",
ISSN = "1001-6058",
MRclass = "76M25 (65N55)",
MRnumber = "1321286 (96d:76076)",
MRreviewer = "Lutz Tobiska",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Hydrodynamics. Series B (English Edition)",
}
@InCollection{Holst:1994:MDD,
author = "Michael Holst and Faisal Saied",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Multigrid and domain decomposition methods for
electrostatics problems",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "231--238",
year = "1994",
MRclass = "65N55 (78-08 92-08)",
MRnumber = "1312395",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Hsiao:1994:ECM,
author = "George C. Hsiao and Michael D. Marcozzi and Shangyou
Zhang",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "An efficient computational method for the flow past an
airfoil",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "497--502",
year = "1994",
MRclass = "76M10 (65N30 76B05 76M15)",
MRnumber = "1312416",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@Article{Karageorghis:1994:CSM,
author = "Andreas Karageorghis",
title = "Conforming spectral methods for {Poisson} problems in
cuboidal domains",
journal = j-J-SCI-COMPUT,
volume = "9",
number = "3",
pages = "341--350",
year = "1994",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/BF01575037",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "65N35 (65N30)",
MRnumber = "1315229 (95k:65115)",
MRreviewer = "K. Moszy{\'n}ski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
}
@InCollection{Katzer:1994:PSD,
author = "Edgar Katzer",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "A parallel subspace decomposition method for
hyperbolic equations",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "239--244",
year = "1994",
MRclass = "65M55",
MRnumber = "1312396",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Kim:1994:NTH,
author = "Seongjai Kim",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Numerical treatments for the {Helmholtz} problem by
domain decomposition techniques",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "245--250",
year = "1994",
MRclass = "65N55",
MRnumber = "1312397",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Kuznetsov:1994:SMO,
author = "Yu. A. Kuznetsov and P. Neittaanm{\"a}ki and P.
Tarvainen",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "{Schwarz} methods for obstacle problems with
convection-diffusion operators",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "251--256",
year = "1994",
MRclass = "65K05 (65N55)",
MRnumber = "1312398",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@Article{Lai:1994:DDD,
author = "C.-H. Lai",
title = "Diakoptics, domain decomposition and parallel
computing",
journal = j-COMP-J,
volume = "37",
number = "10",
pages = "840--846",
month = "????",
year = "1994",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Wed Jul 21 09:54:19 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/compj1990.bib;
http://www3.oup.co.uk/computer_journal/Volume_37/Issue_10/Vol37_10.index.html",
URL = "http://www3.oup.co.uk/computer_journal/Volume_37/Issue_10/Vol37_10.body.html#AbstractLai",
acknowledgement = ack-nhfb,
affiliation = "Sch. of Math., Stat. and Sci. Comput., Univ. of
Greenwich, London, UK",
author-1-adr = "School of Mathematics, Statistics and Scientific
Computing, University of Greenwich, Wellington Street,
Woolwich, London SE18 6PF, UK",
classcodes = "B1110 (Network topology); C6150N (Distributed systems
software); C5440 (Multiprocessing systems)",
classification = "B1110 (Network topology); C5440 (Multiprocessing
systems); C6150N (Distributed systems software)",
corpsource = "Sch. of Math., Stat. and Sci. Comput., Univ. of
Greenwich, London, UK",
keywords = "balancing; diakoptics; Diakoptics; domain
decomposition; Domain decomposition; implementation
issues; Implementation issues; load; Load balancing;
MIMD environment; network topology; parallel computing;
Parallel computing; parallel processing; resource
allocation; SIMD environment",
thesaurus = "Network topology; Parallel processing; Resource
allocation",
treatment = "G General Review",
}
@InCollection{Lai:1994:DDS,
author = "C.-H. Lai",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "On domain decomposition and shooting methods for
two-point boundary value problems",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "257--263",
year = "1994",
MRclass = "65L10",
MRnumber = "1312399 (95j:65086)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@TechReport{Larriba-Pey:1994:APC,
author = "Josep-L Larriba-Pey",
title = "An analysis of the parallel computation of arbitrarily
branched cable neuron models",
type = "Technical report",
number = "SRC-TR-94-134",
institution = inst-SRC-IDA,
address = inst-SRC-IDA:adr,
pages = "6",
day = "1",
month = nov,
year = "1994",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "We present and analyze a parallel method for the
solution of partial differential equation models of the
nervous system. These models mathematically are
one-dimensional nonlinear parabolic equations defined
on branching domains. Implicit methods for these
equations leads to numerical solution of diagonally
dominant almost tridiagonal linear systems at each time
step. We first review some exact methods for the
solution of these linear systems that includes an Exact
Domain Decomposition. This EDD leads to the solution of
many tridiagonal linear systems one for each branch.
The sizes of these systems is equal to the number of
grid points on the branch. Since the branches of
realistic neurons vary widely in size, the
decomposition leads to a very poor a priori load
balance. This problem may be solved with the Overlapped
Partition Method, a method for decomposing large
diagonally dominant tridiagonal systems. We describe
and analyze an algorithm based on EDD and OPM that can
be load balanced.",
acknowledgement = ack-nhfb,
annote = "Supported in part by the Ministry of Education and
Science of Spain (CICYT TIC-880/92) and by CEPBA
Supported in part by the CEE (ESPRIT). Supported in
part by CEPBA.",
keywords = "Neural networks (Computer science)",
}
@InCollection{Layton:1994:RMH,
author = "W. Layton and J. Maubach and P. Rabier",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Robust methods for highly nonsymmetric problems",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "265--270",
year = "1994",
MRclass = "65N55 (65F10)",
MRnumber = "1312400",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InProceedings{Li:1994:IMP,
author = "P. Li and R. L. Peskin",
title = "Implementation of a Mapping Procedure for the Domain
Decomposition for {PDEs} in {Maple}",
crossref = "Lopez:1994:MVM",
pages = "46--54",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InCollection{Lybeck:1994:DDS,
author = "Nancy J. Lybeck and Kenneth L. Bowers",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Domain decomposition via the sinc-{Galerkin} method
for second order differential equations",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "271--276",
year = "1994",
MRclass = "65L10",
MRnumber = "1312401",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Mehrabi:1994:FEN,
author = "M. Reza Mehrabi and Robert A. Brown",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Finite-element/{Newton} method for solution of
nonlinear problems in transport processes using domain
decomposition and nested dissection on {MIMD} parallel
computers",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "413--425",
year = "1994",
MRclass = "65N55 (65N30 65Y05)",
MRnumber = "1312412",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Mejzlik:1994:BMF,
author = "Petr Mejzl{\'\i}k",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "A bisection method to find all solutions of a system
of nonlinear equations",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "277--282",
year = "1994",
MRclass = "65H10",
MRnumber = "1312402 (95j:65055)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Mishev:1994:PCC,
author = "Ilya D. Mishev",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Preconditioning cell-centered finite difference
equations on grids with local refinement",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "283--288",
year = "1994",
MRclass = "65N06 (65F35)",
MRnumber = "1312403 (95j:65127)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Mu:1994:MCP,
author = "Mo Mu and John R. Rice",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Modeling with collaborating {PDE} solvers: theory and
practice",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "427--438",
year = "1994",
MRclass = "65Y10 (65C20)",
MRnumber = "1312413",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@Article{Mu:1994:PDD,
author = "Mo Mu and John R. Rice",
title = "Preconditioning for Domain Decomposition through
Function Approximation",
journal = j-SIAM-J-SCI-COMP,
volume = "15",
number = "6",
pages = "1452--1466",
month = nov,
year = "1994",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55",
MRnumber = "MR1298624 (95g:65172)",
MRreviewer = "O. Widlund",
bibdate = "Sat Dec 29 12:36:18 2007",
bibsource = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/siamjscicomput.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
}
@InCollection{Nataf:1994:OBC,
author = "F. Nataf and F. Rogier",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Outflow boundary conditions and domain decomposition
method",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "289--293",
year = "1994",
MRclass = "65M99 (76M25)",
MRnumber = "1312404",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InProceedings{Nguyen:1994:DCE,
author = "S. T. Nguyen and B. J. Zook and Xiaodong Zhang",
title = "Distributed computation of electromagnetic scattering
problems using finite-difference time-domain
decompositions",
crossref = "IEEE:1994:PTI",
pages = "85--93",
year = "1994",
bibdate = "Sun Dec 22 10:18:08 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Instrum. and Space Res., Southwest Res.
Inst., San Antonio, TX, USA",
classification = "A0260 (Numerical approximation and analysis); A4110H
(Electromagnetic waves: theory); B0290P (Differential
equations); B5210 (Electromagnetic wave propagation);
C4170 (Differential equations); C4240P (Parallel
programming and algorithm theory); C7320 (Physics and
chemistry computing)",
keywords = "Communication pattern variations; Computing
performance; Distributed computation; Distributed
memory; Distributed workstation network;
Electromagnetic scattering problems; Finite-difference
time-domain decompositions; Load balancing; Numerical
method; Parallelism; Partial differential equations;
PVM; Scalability",
thesaurus = "Distributed algorithms; Distributed memory systems;
Electromagnetic wave scattering; Finite difference
time-domain analysis; Partial differential equations;
Physics computing",
}
@Article{Oswald:1994:CRS,
author = "P. Oswald",
title = "On the convergence rate of {SOR}: a worst case
estimate",
journal = j-COMPUTING,
volume = "52",
number = "3",
pages = "245--255",
year = "1994",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65F10 (65N22)",
MRnumber = "95i:65052",
MRreviewer = "G. Maess",
bibdate = "Tue Oct 12 16:33:42 MDT 1999",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "921.1; 921.6",
journalabr = "Comput Vienna New York",
keywords = "Algorithms; Convergence of numerical methods; Domain
decomposition algorithms; Estimation; Iterative
methods; Matrix algebra; Successive overrelaxation;
Symmetric positive definite systems",
}
@InCollection{Papadrakakis:1994:DDP,
author = "M. Papadrakakis and S. Bitzarakis",
booktitle = "{Hellenic European research on mathematics and
informatics '94, Vol.\ 1, 2 (Athens, 1994)}",
title = "Domain decomposition {PCG} methods for serial and
parallel processing",
publisher = "Hellenic Mathematical Society",
address = "Athens, Greece",
pages = "389--411",
year = "1994",
MRclass = "73V20",
MRnumber = "1372296 (96k:73092)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Qiming:1994:DDM,
author = "He Qiming and Kang Lishan",
title = "The Domain Decomposition Method for Multidimensional
and Large Scale Nonlinear Systems---Case of Subdomains
Overlapping",
journal = j-PARALLEL-ALGORITHMS-APPL,
volume = "4",
number = "1--2",
pages = "77--90",
month = "????",
year = "1994",
CODEN = "PAAPEC",
DOI = "https://doi.org/10.1080/10637199408915456",
ISSN = "1063-7192",
ISSN-L = "1026-7689",
bibdate = "Fri Jul 11 06:45:41 MDT 2008",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelalgorithmsappl.bib",
URL = "http://www.informaworld.com/smpp/content~content=a772745101",
acknowledgement = ack-nhfb,
}
@InCollection{Quarteroni:1994:MAD,
author = "Alfio Quarteroni",
booktitle = "{First European Congress of Mathematics, Vol.\ II
(Paris, 1992)}",
title = "Mathematical aspects of domain decomposition methods",
volume = "120",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "355--379",
year = "1994",
MRclass = "65N55 (65M55)",
MRnumber = "1341851 (96g:65120)",
MRreviewer = "Pieter W. Hemker",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Progr. Math.",
acknowledgement = ack-nhfb,
}
@Article{Reale:1994:PCU,
author = "F. Reale and F. Bocchino and S. Sciortino",
title = "Parallel computing on {Unix} workstation arrays",
journal = j-COMP-PHYS-COMM,
volume = "83",
number = "2--3",
pages = "130--140",
month = dec,
year = "1994",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(94)90042-6",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 21:29:49 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465594900426",
acknowledgement = ack-nhfb,
affiliation = "Istituto e Osservatorie Astron., Palermo, Italy",
classification = "A9575P (Mathematical and computer techniques in
astronomy); C5620L (Local area networks); C6110P
(Parallel programming); C6115 (Programming support);
C6150J (Operating systems); C6150N (Distributed systems
software); C7350 (Astronomy and astrophysics
computing)",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "2D hydrodynamic code; Alpha processors; Astrophysical
flows; Data-domain decomposition; DECstations 3000/400;
DECstations 5000/200; Dedicated MIMD parallel system;
Ethernet LAN; FDDI LAN; Intel i860 processors; Massive
parallel computations; Meiko Computing Surface; MIMD
systems; Network bandwidth; Nondedicated parallel
systems; Parallel computing; Parallelization library;
Processor power; PVM software toolset; Software; Unix
workstation arrays",
pubcountry = "Netherlands",
thesaurus = "Astronomy computing; Astrophysical fluid dynamics;
Local area networks; Message passing; Parallel
programming; Protocols; Software packages; Unix;
Workstations",
}
@Article{Schwandt:1994:IAD,
author = "H. Schwandt",
title = "An interval arithmetic domain decomposition method for
a class of elliptic {PDEs} on nonrectangular domains",
journal = j-J-COMPUT-APPL-MATH,
volume = "50",
pages = "509--521",
month = may,
year = "1994",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
bibdate = "Thu Dec 14 17:23:52 MST 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/intarith.bib",
note = "Fifth International Congress on Computational and
Applied Mathematics",
abstract = "We introduce an interval arithmetic domain
decomposition method for linear systems with interval
coefficients resulting from the application of
difference methods for a class of elliptic boundary
value problems on domains with irregular geometry. The
efficient treatment of such systems is crucial for the
efficiency of globally convergent Newton-like interval
methods for the corresponding nonlinear problems.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Tech. Univ. of Berlin, Germany",
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
confdate = "27 July-1 Aug. 1992",
conflocation = "Leuven, Belgium",
confsponsor = "NFWO Belgium Nat. Sci. Found; IBM; et al",
keywords = "Difference methods; Elliptic boundary value problems;
Elliptic PDEs; Globally convergent Newton-like interval
methods; Interval arithmetic domain decomposition
method; Interval coefficients; Irregular geometry;
Linear systems; Nonrectangular domains",
pubcountry = "Netherlands",
thesaurus = "Boundary-value problems; Partial differential
equations",
}
@InCollection{Scott:1994:EPU,
author = "L. Ridgway Scott",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Elliptic preconditioners using fast summation
techniques",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "311--323",
year = "1994",
MRclass = "65Nxx (65Y05 65Y20)",
MRnumber = "1312405 (95j:65125)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Shao:1994:MVS,
author = "Jian Ping Shao",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "The modified vertex space domain decomposition method
for {Neumann} boundary value problems",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "325--336",
year = "1994",
MRclass = "65N55 (65Y20)",
MRnumber = "1312406 (95m:65210)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Shih:1994:MCS,
author = "Tsi Min Shih and Chin Bo Liem and Tao L{\"u} and Ai
Hui Zhou",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "A multi-color splitting method and convergence
analysis for local grid refinement",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "337--342",
year = "1994",
MRclass = "65N55 (65N12)",
MRnumber = "1312407 (95j:65171)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Steinbach:1994:BED,
author = "Olaf Steinbach",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Boundary elements in domain decomposition methods",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "343--348",
year = "1994",
MRclass = "65N38 (65N55)",
MRnumber = "1312408 (95j:65153)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@Article{Su:1994:DDM,
author = "Chao Wei Su",
title = "A domain decomposition method for determining the
diffusion coefficient of a two-dimensional linear
diffusion equation in the time domain",
journal = j-APPL-NUM-MATH,
volume = "15",
number = "4",
pages = "481--493",
day = "1",
month = nov,
year = "1994",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65M30 (65M55 65N55 76M25 76R50)",
MRnumber = "95g:65128",
bibdate = "Wed Jul 28 14:35:52 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1994&volume=15&issue=4;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1994&volume=15&issue=4&aid=511",
acknowledgement = ack-nhfb,
affiliation = "Northwestern Polytechnical Univ",
affiliationaddress = "Xian, China",
classification = "921.6",
journalabr = "Appl Numer Math",
keywords = "Algorithms; Diffusion; Diffusion coefficient; Domain
decomposition method; Inverse problems; Iterative
methods; Mathematical models; Numerical analysis;
Numerical methods; Perturbation techniques; Time domain
analysis; Two dimensional linear diffusion equation",
}
@InCollection{Sun:1994:OSA,
author = "Victor H. Sun and Wei-Pai Tang",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "An overdetermined {Schwarz} alternating method",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "349--354",
year = "1994",
MRclass = "65N12 (65F10)",
MRnumber = "1312409",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InProceedings{Sydow:1994:PSA,
author = "A. Sydow",
title = "Parallel simulation of air pollution",
crossref = "Pehrson:1994:IPP",
journal = j-IFIP-TRANS-A,
volume = "A-52",
pages = "605--612",
year = "1994",
CODEN = "ITATEC",
ISSN = "0926-5473",
bibdate = "Sun Dec 22 10:18:08 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
affiliation = "GMD-Res. Inst. for Comput. Archit. and Software
Technol., Berlin, Germany",
classification = "A8670G (Atmosphere); A9260T (Air quality and air
pollution); A9365 (Data acquisition, processing and
storage); C6110P (Parallel programming); C7340
(Geophysics)",
keywords = "Air pollutant transport models; Air pollution
modelling; Berlin-Brandenburg area, Germany; CM-5;
Equations; Eulerian models; FORGE; Lagrangian models;
MANNA; Meteorological models; Model domain
decomposition method; Model parallelization; Numerical
algorithms; Parallel hardware; Parallel simulation;
PARMACS; PVM; Runtime measurements; Software tools;
Transputer system; Workstation cluster",
thesaurus = "Air pollution; Digital simulation; Environmental
science computing; Geophysics computing; Numerical
analysis; Parallel processing; Software tools",
}
@InCollection{Tai:1994:DDL,
author = "Xue Cheng Tai",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Domain decomposition for linear and nonlinear elliptic
problems via function or space decomposition",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "355--360",
year = "1994",
MRclass = "65N55 (65Y05)",
MRnumber = "1312410 (95k:65121)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Tallec:1994:BDD,
author = "Patrick Le Tallec and Jan Mandel and Marina Vidrascu",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Balancing domain decomposition for plates",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "515--524",
year = "1994",
MRclass = "73V05 (65N55 73K10)",
MRnumber = "1312417 (95j:73080)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Tallec:1994:CBN,
author = "P. Le Tallec and F. Mallinger",
booktitle = "{R.C.P.\ 25, Vol.\ 46 (French) (Strasbourg,
1992/1994)}",
title = "Couplage {Boltzmann}/{Navier--Stokes}",
volume = "1994/29",
publisher = "Univ. Louis Pasteur",
address = "Strasbourg, France",
pages = "81--105",
year = "1994",
MRclass = "76D05 (35Q30 65M55 76M25 76P05)",
MRnumber = "1331613 (96a:76026)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Pr{\'e}publ. Inst. Rech. Math. Av.",
acknowledgement = ack-nhfb,
}
@Book{Tarvainen:1994:BRM,
author = "Pasi Tarvainen",
title = "Block relaxation methods for algebraic obstacle
problems with {$M$}-matrices: theory and applications",
volume = "63",
publisher = "Universit{\"a}t Jyv{\"a}skyl{\"a} Mathematisches
Institut",
address = "Jyv{\"a}skyl{\"a}, Finland",
pages = "ii + 111",
year = "1994",
ISBN = "951-34-0383-1",
ISBN-13 = "978-951-34-0383-6",
MRclass = "90C33 (49J40 65K10)",
MRnumber = "1407743 (97g:90154)",
MRreviewer = "Igor Bock",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Dissertation, University of Jyv{\"a}skyl{\"a},
Jyv{\"a}skyl{\"a}, 1994",
series = "Bericht [Report]",
acknowledgement = ack-nhfb,
}
@Article{Torre:1994:DDM,
author = "B. Torre",
title = "Domain decomposition method for fourth order
equations",
journal = j-APPL-MATH-LETT,
volume = "7",
number = "3",
pages = "39--43",
year = "1994",
CODEN = "AMLEEL",
DOI = "https://doi.org/10.1016/0893-9659(94)90110-4",
ISSN = "0893-9659 (print), 1873-5452 (electronic)",
MRclass = "65L99 (65N55)",
MRnumber = "1350374",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics Letters. An International Journal
of Rapid Publication",
}
@InCollection{Vozovoi:1994:MDF,
author = "L. Vozovoi and M. Israeli and A. Averbuch",
booktitle = "{Domain decomposition methods in scientific and
engineering computing (University Park, PA, 1993)}",
title = "Multi-domain {Fourier} algorithms for parallel
solution of the {Navier--Stokes} equations",
volume = "180",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "539--546",
year = "1994",
MRclass = "65M55 (76D05 76M25)",
MRnumber = "1312418",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Contemp. Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Xanthis:1994:DDMa,
author = "Leonidas S. Xanthis and Evgueni E. Ovtchinnikov",
booktitle = "{Hellenic European research on mathematics and
informatics '94, Vol.\ 1, 2 (Athens, 1994)}",
title = "Domain decomposition and the method of arbitrary lines
for elliptic problems",
publisher = "Hellenic Mathematical Society",
address = "Athens, Greece",
pages = "181--192",
year = "1994",
MRclass = "65N55",
MRnumber = "1372282",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Xanthis:1994:DDMb,
author = "Leonidas S. Xanthis and Evgueni E. Ovtchinnikov",
booktitle = "{Hellenic European research on mathematics and
informatics '94, Vol.\ 1, 2 (Athens, 1994)}",
title = "Domain decomposition and the method of arbitrary lines
for elliptic free boundary problems",
publisher = "Hellenic Mathematical Society",
address = "Athens, Greece",
pages = "193--203",
year = "1994",
MRclass = "65N55 (35R35)",
MRnumber = "1372283",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Xu:1994:DDM,
author = "Xue Jun Xu and Shu Min Shen",
title = "Domain decomposition methods for obstacle problems",
journal = "Numer. Math. J. Chinese Univ.",
volume = "16",
number = "2",
pages = "186--194",
year = "1994",
ISSN = "1000-081X",
MRclass = "65N55 (65R10)",
MRnumber = "1350929",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}
@Article{Yu:1994:DDM,
author = "De Hao Yu",
title = "A domain decomposition method based on the natural
boundary reduction over an unbounded domain",
journal = "Math. Numer. Sinica",
volume = "16",
number = "4",
pages = "448--459",
year = "1994",
ISSN = "0254-7791",
MRclass = "65N55",
MRnumber = "1393870 (97c:65210)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Abrashin:1995:CAD,
author = "V. N. Abrashin and S. N. L{\`e}khtikov",
title = "On the combination of the alternating direction method
and the finite element method for the solution of
problems in mathematical physics. {I}",
journal = "Differ. Uravn.",
volume = "31",
number = "7",
pages = "1161--1169, 1269",
year = "1995",
ISSN = "0374-0641",
MRclass = "65M60 (65M55)",
MRnumber = "1429771 (97m:65171)",
MRreviewer = "Thomas Apel",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Differentsial\cprime nye Uravneniya",
}
@Article{Achdou:1995:PMM,
author = "Yves Achdou and Fr{\'e}d{\'e}ric Nataf",
title = "Preconditioners for the mortar method based on local
approximations of the {Steklov--Poincar{\'e}}
operator",
journal = j-MATH-MODELS-METHODS-APPL-SCI,
volume = "5",
number = "7",
pages = "967--997",
year = "1995",
CODEN = "MMMSEU",
DOI = "https://doi.org/10.1142/S0218202595000516",
ISSN = "0218-2025",
MRclass = "76M10 (65N30 76D05)",
MRnumber = "1359216 (96i:76087)",
MRreviewer = "J. T. Oden",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Models \& Methods in Applied Sciences",
}
@Article{Adzic:1995:ALS,
author = "Nevenka Ad{\v{z}}i{\'c}",
title = "The approximation of layer solution by {Legendre} type
polynomials",
journal = "Zb. Rad. Prirod.-Mat. Fak. Ser. Mat.",
volume = "25",
number = "2",
pages = "151--158",
year = "1995",
ISSN = "0352-0900",
MRclass = "65L10",
MRnumber = "1413967 (97g:65153)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Zbornik Radova Prirodno-Matematichkog Fakulteta.
Serija za Matematiku. Review of Research. Faculty of
Science. Mathematics Series",
}
@Article{Agouzal:1995:AHF,
author = "Abdellatif Agouzal",
title = "Augmented hybrid finite element method for domain
decomposition",
journal = j-APPL-ANAL,
volume = "59",
number = "1--4",
pages = "341--347",
year = "1995",
CODEN = "APANCC",
DOI = "https://doi.org/10.1080/00036819508840409",
ISSN = "0003-6811",
MRclass = "65N30",
MRnumber = "1378045 (97b:65127)",
MRreviewer = "Zheng Hui Xie",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applicable Analysis. An International Journal",
}
@Article{Agouzal:1995:MEF,
author = "Abdellatif Agouzal and Jean-Marie Thomas",
title = "Une m{\'e}thode d'{\'e}l{\'e}ments finis hybrides en
d{\'e}composition de domaines. ({French}) [{A} hybrid
finite-element method in domain decomposition]",
journal = j-MATH-MODEL-NUM-ANA,
volume = "29",
number = "6",
pages = "749--764",
year = "1995",
CODEN = "RMMAEV",
ISSN = "0764-583X (print), 1290-3841 (electronic)",
MRclass = "65N55 (65N30)",
MRnumber = "1360674 (96g:65115)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "RAIRO Mod{\'e}lisation Math{\'e}matique et Analyse
Num{\'e}rique",
language = "French",
}
@InCollection{Albuquerque:1995:SDD,
author = "C. Albuquerque",
booktitle = "{Trends in applications of mathematics to mechanics
(Lisbon, 1994)}",
title = "Some domain-decomposition methods for the exterior
{Poisson} equation",
volume = "77",
publisher = "Longman",
address = "Harlow, UK",
pages = "299--310",
year = "1995",
MRclass = "65N55",
MRnumber = "1475494",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Pitman Monogr. Surveys Pure Appl. Math.",
acknowledgement = ack-nhfb,
}
@Article{Averbuch:1995:PIN,
author = "A. Averbuch and M. Israeli and L. Vozovoi",
title = "Parallel implementation of non-linear evolution
problems using parabolic domain decomposition",
journal = j-PARALLEL-COMPUTING,
volume = "21",
number = "7",
pages = "1151--1183",
day = "11",
month = jul,
year = "1995",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
MRclass = "65M55 (65Y05)",
MRnumber = "1 335 868",
bibdate = "Fri Aug 6 10:14:33 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=7;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=7&aid=991",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations); C4240P (Parallel programming and algorithm
theory)",
corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel",
keywords = "decomposition; differential equations; domain
decomposition; equations; large scale problems;
non-linear evolution problems; nonlinear
time-dependent; parabolic domain; parabolic equations;
parallel algorithms; partial; partial differential",
treatment = "T Theoretical or Mathematical",
}
@Article{Benamou:1995:DDM,
author = "J.-D. Benamou",
title = "A Domain Decomposition Method for the Polar
Factorization of Vector-Valued Mappings",
journal = j-SIAM-J-NUMER-ANAL,
volume = "32",
number = "6",
pages = "1808--1838",
month = dec,
year = "1995",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0732082",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N55 (26B25 65M55)",
MRnumber = "1360461 (96i:65106)",
MRreviewer = "Beny Neta",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@Article{Bey:1995:VDG,
author = "Kim S. Bey and Abani Patra and J. Tinsley Oden",
title = "{$ h p $}-version discontinuous {Galerkin} methods for
hyperbolic conservation laws: a parallel adaptive
strategy",
journal = j-INT-J-NUMER-METHODS-ENG,
volume = "38",
number = "22",
pages = "3889--3908",
year = "1995",
CODEN = "IJNMBH",
DOI = "https://doi.org/10.1002/nme.1620382209",
ISSN = "0029-5981",
MRclass = "76M10 (65M60)",
MRnumber = "1362005 (96i:76088)",
MRreviewer = "Long An Ying",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "International Journal for Numerical Methods in
Engineering",
}
@Article{Brenner:1995:TLA,
author = "Susanne C. Brenner",
title = "A two-level additive {Schwarz} preconditioner for
macro-element approximations of the plate bending
problem",
journal = "Houston J. Math.",
volume = "21",
number = "4",
pages = "823--844",
year = "1995",
CODEN = "HJMADZ",
ISSN = "0362-1588",
MRclass = "73V05 (35Q72 65N55 73K10)",
MRnumber = "1368347 (96k:73077)",
MRreviewer = "Pekka Neittaanm{\"a}ki",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Houston Journal of Mathematics",
}
@Book{Bruaset:1995:SPI,
author = "Are Magnus Bruaset",
title = "A survey of preconditioned iterative methods",
volume = "328",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "xii + 162",
year = "1995",
ISBN = "0-582-27654-3",
ISBN-13 = "978-0-582-27654-3",
MRclass = "65F10 (65F35 65M55 65N55)",
MRnumber = "1413496 (97j:65053)",
MRreviewer = "David R. Kincaid",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Pitman Research Notes in Mathematics Series",
acknowledgement = ack-nhfb,
}
@Article{Cai:1995:UPI,
author = "Xiao-Chuan Cai",
title = "The Use of Pointwise Interpolation in Domain
Decomposition Methods with Nonnested Meshes",
journal = j-SIAM-J-SCI-COMP,
volume = "16",
number = "1",
pages = "250--256",
month = jan,
year = "1995",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55 (65F50)",
MRnumber = "95j:65158",
bibdate = "Tue Apr 29 18:25:50 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Carlenzoli:1995:ADD,
author = "Claudio Carlenzoli and Alfio Quarteroni",
booktitle = "{Modeling, mesh generation, and adaptive numerical
methods for partial differential equations
(Minneapolis, MN, 1993)}",
title = "Adaptive domain decomposition methods for
advection-diffusion problems",
volume = "75",
publisher = pub-SV,
address = pub-SV:adr,
pages = "165--186",
year = "1995",
MRclass = "65N55 (76D05 76M25)",
MRnumber = "1370250 (96i:65107)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "IMA Vol. Math. Appl.",
acknowledgement = ack-nhfb,
}
@TechReport{Carvalho:1995:LAK,
author = "L. Carvalho and I. S. Duff and L. Giraud",
title = "Linear algebra kernels for parallel domain
decomposition methods",
type = "Report",
number = "TR/PA/95/26",
institution = inst-CERFACS,
address = inst-CERFACS:adr,
pages = "????",
year = "1995",
bibdate = "Tue Jan 03 08:24:32 2006",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/duff-iain-s.bib",
acknowledgement = ack-nhfb,
}
@Article{Chan:1995:EAS,
author = "Tony F. Chan and Jun Zou",
title = "Erratum to: {``Additive Schwarz domain decomposition
methods for elliptic problems on unstructured meshes''
[Numer. Algorithms {\bf 8} (1994), no. 2--4, 329--346,
MR 95i:65174]}",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "397--397",
month = "????",
year = "1995",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
MRclass = "65N30 (65N55)",
MRnumber = "1 339 729",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See \cite{Chan:1994:ASD}.",
acknowledgement = ack-nhfb,
}
@Article{Chan:1995:PCD,
author = "Tony F. Chan and Jian Ping Shao",
title = "Parallel complexity of domain decomposition methods
and optimal coarse grid size",
journal = j-PARALLEL-COMPUTING,
volume = "21",
number = "7",
pages = "1033--1049",
day = "11",
month = jul,
year = "1995",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
MRclass = "65Y20 (65N55)",
MRnumber = "96c:65225",
MRreviewer = "Svetozar D. Margenov",
bibdate = "Fri Aug 6 10:14:33 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=7;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=7&aid=988",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C4240C
(Computational complexity); C4240P (Parallel
programming and algorithm theory); C6150N (Distributed
systems software)",
corpsource = "Dept. of Math., California Univ., Los Angeles, CA,
USA",
keywords = "arithmetic time; coarse grid size; communication
complexity; communication time; computational
complexity; convergence; domain decomposition methods;
elliptic equations; execution time; global
communication; global coupling; multiprocessing
systems; optimal; optimal convergence rate; parallel
algorithms; parallel complexity; parallel environment;
parallel machine; processors; solver; spatial
dimension; subdomains",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Chapple:1995:PUL,
author = "S. R. Chapple and L. J. Clarke",
title = "The {Parallel Utilities Library}",
crossref = "IEEE:1995:PSP",
pages = "21--30",
year = "1995",
bibdate = "Sun Dec 22 10:20:45 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
affiliation = "Parallel Comput. Center, Edinburgh Univ., UK",
classification = "C5440 (Multiprocessing systems); C6110B (Software
engineering techniques); C6110P (Parallel programming);
C6150N (Distributed systems software); C7480
(Production engineering computing)",
keywords = "AEA Technology; Domain decomposition; Industrial
applications; Library modules; Message passing;
Message-Passing Interface; MPI; Parallel scalable I/O;
Parallel systems; Parallel Utilities Library; PUL;
Rolls-Royce; Shell UK; Task parallelism; Unstructured
mesh applications",
thesaurus = "Industries; Message passing; Parallel programming;
Software libraries; Software portability; Software
reusability; Subroutines",
}
@Article{Chen:1995:SMP,
author = "Shao Bing Chen",
title = "A splitting method for parabolic equations",
journal = "Nanjing Daxue Xuebao Shuxue Bannian Kan",
volume = "12",
number = "2",
pages = "282--287",
year = "1995",
ISSN = "0469-5097",
MRclass = "65M55 (65N55)",
MRnumber = "1401291 (97e:65093)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Nanjing Daxue Xuebao. Shuxue Bannian Kan. Nanjing
University. Journal. Mathematical Biquarterly",
}
@Article{Cowsar:1995:BDD,
author = "Lawrence C. Cowsar and Jan Mandel and Mary F.
Wheeler",
title = "Balancing domain decomposition for mixed finite
elements",
journal = j-MATH-COMPUT,
volume = "64",
number = "211",
pages = "989--1015",
month = jul,
year = "1995",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2153480",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N55",
MRnumber = "1297465 (95j:65161)",
MRreviewer = "Serge Nicaise",
bibdate = "Tue Sep 21 21:25:17 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/cowsar-lawrence-c.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
}
@Article{Dai:1995:DDM,
author = "Pei Liang Dai and Shu Min Shen",
title = "A domain decomposition method based on nonconforming
finite elements",
journal = "Math. Numer. Sinica",
volume = "17",
number = "1",
pages = "78--91",
year = "1995",
ISSN = "0254-7791",
MRclass = "65N55 (65N30)",
MRnumber = "1476847 (98g:65119)",
MRreviewer = "Tsorng-Whay Pan",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Diaz:1995:DDS,
author = "J. C. D{\'i}az and K. Shenoi",
title = "Domain decomposition and {Schur} complement approaches
to coupling the well equations in reservoir
simulation",
journal = j-SIAM-J-SCI-COMP,
volume = "16",
number = "1",
pages = "29--39",
month = jan,
year = "1995",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55 (65C20 65F35 86A60)",
MRnumber = "95i:65175",
bibdate = "Tue Apr 29 18:25:50 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
}
@Article{Dostal:1995:DBD,
author = "Zden{\v{e}}k Dost{\'a}l",
title = "Duality based domain decomposition with proportioning
for the solution of free boundary problems",
journal = j-J-COMPUT-APPL-MATH,
volume = "63",
number = "1--3",
pages = "203--208",
year = "1995",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(96)80912-5",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "65N55 (65K10)",
MRnumber = "1365560",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "International Symposium on Mathematical Modelling and
Computational Methods Modelling 94 (Prague, 1994)",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
}
@Article{Floros:1995:CED,
author = "N. Floros and J. S. Reeve and J. Clinckemaillie and S.
Vlachoutsis and G. Lonsdale",
title = "Comparative efficiencies of domain decompositions",
journal = j-PARALLEL-COMPUTING,
volume = "21",
number = "11",
pages = "1823--1835",
day = "29",
month = nov,
year = "1995",
CODEN = "PACOEJ",
DOI = "https://doi.org/10.1016/0167-8191(95)00031-7",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
MRclass = "65M55 (65N55)",
MRnumber = "1 365 956",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=11;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib;
MathSciNet database",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=11&aid=1010",
acknowledgement = ack-nhfb,
classification = "B0290T (Finite element analysis); C4185 (Finite
element analysis); C4240C (Computational complexity);
C4240P (Parallel programming and algorithm theory)",
corpsource = "Dept. of Electron. and Comput. Sci., Southampton
Univ., UK",
fjournal = "Parallel Computing. Theory and Applications",
keywords = "algorithms; codes; comparative efficiencies;
complexity; computational complexity; domain
decompositions; finite element; finite element
analysis; finite element PAM-CRASH code; finite volume
codes; grid-based; parallel; recursive; simulation
programs; spectral partitioning method",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InCollection{Gaier:1995:CMT,
author = "D. Gaier",
booktitle = "{Computational methods and function theory 1994
(Penang)}",
title = "Conformal modules and their computation",
volume = "5",
publisher = "World Sci. Publ., River Edge, NJ",
pages = "159--171",
year = "1995",
MRclass = "30C30",
MRnumber = "1415169 (97h:30004)",
MRreviewer = "N. Papamichael",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Ser. Approx. Decompos.",
acknowledgement = ack-nhfb,
}
@Article{Globisch:1995:APG,
author = "Gerhard Globisch",
title = "On an automatically parallel generation technique for
tetrahedral meshes",
journal = j-PARALLEL-COMPUTING,
volume = "21",
number = "12",
pages = "1979--1995",
day = "12",
month = dec,
year = "1995",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Fri Aug 6 10:14:20 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=12;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=12&aid=1033",
acknowledgement = ack-nhfb,
classification = "B0290T (Finite element analysis); C4185 (Finite
element analysis); C4240P (Parallel programming and
algorithm theory); C4260 (Computational geometry)",
corpsource = "Dept. of Math., Tech. Univ. Chemnitz-Zwickau,
Germany",
keywords = "3D-; dimensional domains; domain decomposition; finite
elements; generalized cylindrical shape; generation;
mesh; mesh generation; parallel algorithms; parallel
generation technique; parallel preprocessing;
parallelization; reference triangulations; tetrahedral
meshes; three-",
treatment = "T Theoretical or Mathematical",
}
@Article{Griebel:1995:ATA,
author = "M. Griebel and P. Oswald",
title = "On the abstract theory of additive and multiplicative
{Schwarz} algorithms",
journal = j-NUM-MATH,
volume = "70",
number = "2",
pages = "163--180",
month = apr,
year = "1995",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N30 (65F10)",
MRnumber = "96a:65164",
MRreviewer = "S. Galanis",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer.de/link/service/journals/00211/bibs/5070002/50700163.htm;
http://science.springer.de/nmee/bibs/5070002/50700163.htm",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Inst. f{\"u}r Inf., Tech. Univ. M{\"u}nchen, Germany",
keywords = "abstract convergence theory; abstract theory;
convergence of numerical methods; convergence proofs;
domain decomposition methods; iterative algorithms;
iterative methods; matrix algebra; multiplicative
Schwarz algorithms; PDE discretization; subspace
correction methods; traditional block matrix situation;
traditional iteration methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Gu:1995:ODD,
author = "Jin Sheng Gu and Xian Cheng Hu",
title = "An overlapping domain decomposition method for
nonselfadjoint elliptic problems discretized by
{Crouzeix--Raviart} elements",
journal = "Math. Numer. Sinica",
volume = "17",
number = "3",
pages = "282--290",
year = "1995",
ISSN = "0254-7791",
MRclass = "65N30",
MRnumber = "1477090",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@InCollection{Hahne:1995:FSC,
author = "M. Hahne and E. P. Stephan and W. Thies",
booktitle = "{Fast solvers for flow problems (Kiel, 1994)}",
title = "Fast solvers for coupled {FEM-BEM} equations. {I}",
volume = "49",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "121--130",
year = "1995",
MRclass = "76M10 (65F10 65N22 76M15)",
MRnumber = "1423816 (97j:76031)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@Article{He:1995:SDD,
author = "Qiming He and David J. Evans",
title = "Symmetric Domain Decomposition Method for Large Scale
and Nonlinear Evolution Systems",
journal = j-PARALLEL-ALGORITHMS-APPL,
volume = "7",
number = "3--4",
pages = "161--175",
month = "????",
year = "1995",
CODEN = "PAAPEC",
DOI = "https://doi.org/10.1080/10637199508915529",
ISSN = "1063-7192",
ISSN-L = "1026-7689",
bibdate = "Fri Jul 11 06:45:42 MDT 2008",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelalgorithmsappl.bib",
URL = "http://www.informaworld.com/smpp/content~content=a772402404",
acknowledgement = ack-nhfb,
}
@Article{Heise:1995:NSE,
author = "Bodo Heise",
title = "Nonlinear simulation of electromagnetic fields with
domain decomposition methods on {MIMD} parallel
computers",
journal = j-J-COMPUT-APPL-MATH,
volume = "63",
number = "1--3",
pages = "373--381",
year = "1995",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(95)00065-8",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "65N55 (78-08)",
MRnumber = "1365576",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "International Symposium on Mathematical Modelling and
Computational Methods Modelling 94 (Prague, 1994)",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
}
@Article{Hemmingsson:1995:DDM,
author = "Lina Hemmingsson",
title = "A Domain Decomposition Method for First-Order {PDEs}",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "16",
number = "4",
pages = "1241--1267",
month = oct,
year = "1995",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/S0895479894270154",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "65M55 (65F10 65Y05)",
MRnumber = "96h:65117",
MRreviewer = "Svetozar D. Margenov",
bibdate = "Fri Dec 4 12:14:09 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/16/4;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/27015",
acknowledgement = ack-nhfb,
}
@Article{Huang:1995:DDM,
author = "Jian Guo Huang",
title = "A domain decomposition method for nonconforming finite
elements---the case of strong overlap",
journal = "Math. Numer. Sinica",
volume = "17",
number = "1",
pages = "47--58",
year = "1995",
ISSN = "0254-7791",
MRclass = "65N55",
MRnumber = "1476843 (98m:65216)",
MRreviewer = "Chuan Miao Chen",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Ivanov:1995:CCF,
author = "S. A. Ivanov and V. G. Korneev",
title = "Choice of coordinate functions of higher orders and
preconditioning in the framework of the domain
decomposition method",
journal = j-IZV-VYSS-UCEBN-ZAVED-MAT,
volume = "4",
number = "??",
pages = "62--81",
year = "1995",
CODEN = "IVUMBY",
ISSN = "0021-3446",
MRclass = "65N22 (65N55)",
MRnumber = "1391333 (97g:65217)",
MRreviewer = "Lutz Tobiska",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Izvestiya Vysshikh Uchebnykh Zavedeni\u\i.
Matematika",
}
@InCollection{Kahlert:1995:CDP,
author = "M. Kahlert and M. Paffrath and U. Wever",
booktitle = "{Advanced mathematics: computations and applications
(Novosibirsk, 1995)}",
title = "Comparison of data partitioning and domain
decomposition methods in real life problems",
publisher = "NCC Publ., Novosibirsk",
pages = "564--576",
year = "1995",
MRclass = "65M55 (65F30)",
MRnumber = "1701467",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Kapurkin:1995:DDM,
author = "Andrei Kapurkin and G. Lube",
booktitle = "{Fast solvers for flow problems (Kiel, 1994)}",
title = "A domain decomposition method for singularly perturbed
elliptic problems",
volume = "49",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "151--162",
year = "1995",
MRclass = "65N55 (65N30 76M25)",
MRnumber = "1423817 (98b:65137)",
MRreviewer = "Alberto Valli",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@InCollection{Keyes:1995:AAN,
author = "David E. Keyes",
booktitle = "{Fourteenth International Conference on Numerical
Methods in Fluid Dynamics (Bangalore, 1994)}",
title = "Aerodynamic applications of {Newton--Krylov--Schwarz}
solvers",
volume = "453",
publisher = pub-SV,
address = pub-SV:adr,
pages = "1--20",
year = "1995",
DOI = "https://doi.org/10.1007/3-540-59280-6_95",
MRclass = "76M20",
MRnumber = "1372706 (96j:76098)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Lecture Notes in Phys.",
acknowledgement = ack-nhfb,
}
@InProceedings{Klaassen:1995:PNM,
author = "A. J. Klaassen and B. Delord and Y. Burnod and E.
Guigon",
title = "Parallel Neuron Modelling using Domain Decomposition:
Application toward Learning Sensori-Motor Sequences in
Prefrontal Cortex",
crossref = "Herrmann:1995:WSB",
pages = "361--370",
year = "1995",
bibdate = "Mon Aug 26 10:38:41 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
}
@Article{Laevskii:1995:EID,
author = "Yu. M. Laevski{\u\i} and S. V. Gololobov",
title = "Explicit-implicit domain decomposition methods for the
solution of parabolic equations",
journal = j-SIB-MAT-Z,
volume = "36",
number = "3",
pages = "590--601, ii",
year = "1995",
DOI = "https://doi.org/10.1007/BF02109838",
ISSN = "0037-4474",
MRclass = "65M55 (65N55)",
MRnumber = "1404883 (97g:65190)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Rossi\u\i skaya Akademiya Nauk. Sibirskoe Otdelenie.
Institut Matematiki im. S. L. Soboleva. Sibirski\u\i\
Matematicheski\u\i\ Zhurnal",
}
@Article{Layton:1995:PRP,
author = "William J. Layton and Patrick J. Rabier",
title = "{Peaceman--Rachford} procedure and domain
decomposition for finite element problems",
journal = j-NUM-LIN-ALG-APPL,
volume = "2",
number = "4",
pages = "363--393",
year = "1995",
CODEN = "NLAAEM",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "65N55 (65F10)",
MRnumber = "96g:65118",
MRreviewer = "Zden{\v{e}}k Dost{\'a}l",
bibdate = "Thu Jan 23 18:22:28 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}
@Article{Lee:1995:RCB,
author = "Chang-Ock Lee and Seymour V. Parter",
title = "On the rate of convergence of the $ k \times k $
block, $k$-line iterative methods: $ k \to \infty $",
journal = j-NUM-MATH,
volume = "71",
number = "1",
pages = "59--90",
month = jul,
year = "1995",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N22 (65F10)",
MRnumber = "96d:65180",
MRreviewer = "Alan L. Andrew",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer.de/link/service/journals/00211/bibs/5071001/50710059.htm;
http://science.springer.de/nmee/bibs/5071001/50710059.htm",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA",
keywords = "convergence of numerical methods; Dirichlet problem;
domain decomposition methods; eigenvalues; elliptic
difference equations; finite difference discretization;
fixed finite integer; iterative methods; k-line
iterative methods; Poisson's equation; rate of
convergence; unit square",
treatment = "T Theoretical or Mathematical",
}
@Article{LeTallec:1995:DDN,
author = "Patrick {Le Tallec} and Taoufik Sassi",
title = "Domain decomposition with non-matching grids:
{Augmented} {Lagrangian} approach",
journal = j-MATH-COMPUT,
volume = "64",
number = "212",
pages = "1367--1396",
month = oct,
year = "1995",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N55 (65M55 73V20)",
MRnumber = "95m:65212",
MRreviewer = "Tsorng-Whay Pan",
bibdate = "Tue Mar 25 15:38:13 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
affiliation = "Paris-Dauphine Univ., France",
classcodes = "C4185 (Finite element analysis); C4240P (Parallel
programming and algorithm theory); C4170 (Differential
equations)",
corpsource = "Paris-Dauphine Univ., France",
keywords = "augmented; convergence of numerical methods;
decomposition; discretization step; displacement
continuity; domain decomposition method; element
analysis; element grids; elliptic equations; fictitious
overlapping; finite; Lagrangian approach; linear
convergence; method; nonmatching grids; nonoverlapping
domain; numerical examples; numerical solution; order
linear elliptic problem; parallel; parallel algorithms;
Peaceman--Rachford algorithm; preconditioner; problems;
second; three dimensional elasticity; version",
treatment = "T Theoretical or Mathematical",
}
@Article{Li:1995:DDA,
author = "Cui Hua Li and Kai Tai Li",
title = "Domain decomposition algorithms for incompressible
fluid flows",
journal = "Xi'an Jiaotong Daxue Xuebao",
volume = "29",
number = "6",
pages = "121--126",
year = "1995",
CODEN = "HCTPDW",
ISSN = "0253-987X",
MRclass = "65N55 (76B10)",
MRnumber = "1377264",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Xi'an Jiaotong Daxue Xuebao. Journal of Xi'an Jiaotong
University",
}
@Article{Lippert:1995:FWB,
author = "L. Lippert and M. H. Gross",
title = "Fast Wavelet Based Volume Rendering by Accumulation of
Transparent Texture Maps",
journal = j-CGF,
volume = "14",
number = "3",
pages = "C/431--C/443",
month = sep,
year = "1995",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Fri Jul 18 14:10:19 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/cgf.bib",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods); C6130B (Graphics
techniques)",
conflocation = "Maastricht, Netherlands; 18 Aug.-1 Sept. 1995",
conftitle = "EUROGRAPHICS '95",
corpsource = "Comput. Sci. Dept., Swiss Federal Inst. of Technol.,
Zurich, Switzerland",
keywords = "3D mother wavelet; accurate volume intensity; Accurate
volume intensity; analytic Fourier description;
Analytic Fourier description; analytic Fourier
description; attenuation; Attenuation; B; B spline
wavelets; basis functions; Basis functions; buffers;
color integration; Color integration; color
integration; colour graphics; decomposed volume color
function; Decomposed volume color function; decomposed
volume color function; decompositions; domain; fast
wavelet based volume rendering; Fast wavelet based
volume rendering; fast wavelet based volume rendering;
Fourier domain volume; Fourier domain volume rendering
techniques; Fourier transform; Fourier transforms;
hardware accumulation; Hardware accumulation buffers;
image texture; Linear shading; linear shading; maps;
ray intensity integral; Ray intensity integral;
rendering (computer graphics); rendering techniques;
RGB textures; spatial; Spatial domain; spline wavelets;
texture mapping; Texture mapping; transparent texture;
Transparent texture maps; wavelet; Wavelet
decompositions; wavelet transforms",
thesaurus = "Colour graphics; Fourier transforms; Image texture;
Rendering [computer graphics]; Wavelet transforms",
treatment = "P Practical",
}
@InProceedings{Lou:1995:PIN,
author = "J. Z. Lou",
title = "A parallel incompressible {Navier--Stokes} solver with
multigrid iterations",
crossref = "Bailey:1995:PSS",
pages = "167--168",
year = "1995",
bibdate = "Sun Dec 22 10:19:23 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
affiliation = "Jet Propulsion Lab., California Inst. of Technol.,
Pasadena, CA, USA",
classification = "A0230 (Function theory, analysis); A0260 (Numerical
approximation and analysis); A0270 (Computational
techniques); A4710 (General fluid dynamics theory,
simulation and other computational methods); C4170
(Differential equations); C4240P (Parallel programming
and algorithm theory); C6110P (Parallel programming);
C7320 (Physics and chemistry computing)",
keywords = "Domain-decomposition strategy; Efficient
finite-difference incompressible Navier--Stokes fluid;
Intel Delta; Intel Paragon; Message-passing; Multigrid
iterations; Multigrid scheme; Parallel incompressible
Navier--Stokes solver; Rectangular processor meshes;
Second-order projection method; Staggered grid;
Template code",
thesaurus = "Finite difference methods; Message passing;
Navier--Stokes equations; Parallel algorithms; Physics
computing",
}
@Article{Mu:1995:NFP,
author = "Mo Mu",
title = "A New Family of Preconditioners for Domain
Decomposition",
journal = j-SIAM-J-SCI-COMP,
volume = "16",
number = "2",
pages = "289--306",
month = mar,
year = "1995",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55 (65F35 65Y05)",
MRnumber = "95k:65118",
MRreviewer = "Rolf Rannacher",
bibdate = "Tue Apr 29 18:25:50 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Nataf:1995:DDM,
author = "F. Nataf and F. Rogier and E. de Sturler",
booktitle = "{Navier--Stokes equations and related nonlinear
problems (Funchal, 1994)}",
title = "Domain decomposition methods for fluid dynamics",
publisher = "Plenum",
address = "New York, NY, USA",
pages = "367--376",
year = "1995",
MRclass = "65M55 (76M25)",
MRnumber = "1373229 (96j:65095)",
MRreviewer = "Leonid K. Antanovski{\u\i}",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Natarajan:1995:DDU,
author = "Ramesh Natarajan",
title = "Domain decomposition using spectral expansions of
{Steklov--Poincar{\'e}} operators",
journal = j-SIAM-J-SCI-COMP,
volume = "16",
number = "2",
pages = "470--495",
month = mar,
year = "1995",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55 (65F10)",
MRnumber = "96i:65108",
bibdate = "Tue Apr 29 18:25:50 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Papamichael:1995:DDC,
author = "N. Papamichael and N. S. Stylianopoulos",
booktitle = "{Computational methods and function theory 1994
(Penang)}",
title = "Domain decomposition for conformal maps",
volume = "5",
publisher = "World Sci. Publ., River Edge, NJ",
pages = "267--291",
year = "1995",
MRclass = "30C30 (65E05)",
MRnumber = "1415177 (97h:30005)",
MRreviewer = "D. Gaier",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Ser. Approx. Decompos.",
acknowledgement = ack-nhfb,
}
@Article{Park:1995:DDM,
author = "Pil Seong Park",
title = "A domain decomposition method applied to queuing
network problems",
journal = "Commun. Korean Math. Soc.",
volume = "10",
number = "3",
pages = "735--750",
year = "1995",
ISSN = "1225-1763",
MRclass = "65M55 (60K25 65F10 65Y05 90B22)",
MRnumber = "1430428 (98e:65078)",
MRreviewer = "Svetozar D. Margenov",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Korean Mathematical Society. Communications",
}
@Article{Pavarino:1995:NEO,
author = "Luca F. Pavarino and Marcelo Ram{\'e}",
title = "Numerical Experiments with an Overlapping Additive
{Schwarz} Solver for {3-D} Parallel Reservoir
Simulation",
journal = j-IJSAHPC,
volume = "9",
number = "1",
pages = "3--17",
month = "Spring",
year = "1995",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibdate = "Tue Feb 18 09:07:32 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/ijsa.bib",
abstract = "Domain decomposition methods are a major area of
contemporary research in the numerical analysis of
partial differential equations. They provide robust,
parallel, and scalable preconditioned iterative methods
for the large linear systems arising when continuous
problems are discretized by finite elements, finite
differences, or spectral methods. This paper presents
numerical experiments on a distributed-memory parallel
computer, the 512-processor Touchstone Delta at the
California Institute of Technology. An overlapping
additive Schwarz method is implemented for the mixed
finite-element discretization of second-order elliptic
problems in three dimensions arising from flow models
in reservoir simulation. These problems are
characterized by large variations in the coefficients
of the elliptic operator, often associated with short
correlation lengths, which make the problems very
ill-conditioned. The results confirm the theoretical
bound on the condition number of the iteration operator
and show the advantage of domain decomposition
preconditioning as opposed to the simpler but less
robust diagonal preconditioner.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. and Appl. Math., Rice Univ.",
affiliationaddress = "Houston, TX, USA",
classification = "722.4; 723.5; 921.2; 921.6",
journalabr = "Int J Supercomput Appl High Perform Comput",
keywords = "Additive Schwarz methods; Algorithms; Boundary
conditions; Computer simulation; Correlation methods;
Discretization; Distributed computer systems;
Distributed memory parallel computer; Domain
decomposition preconditioning; Finite difference
method; Finite element method; Flow models; Iteration
operator; Iterative methods; Mathematical models;
Numerical analysis; Parallel processing systems;
Parallel reservoir simulation; Partial differential
equations; Second order elliptic problems; Three
dimensional",
}
@Article{Pringle:1995:ETM,
author = "Gavin J. Pringle",
title = "Embedding a `Treecode' on a {MIMD} parallel computer
using a domain decomposition paradigm",
journal = j-FUT-GEN-COMP-SYS,
volume = "11",
number = "2",
pages = "183--192",
month = mar,
year = "1995",
CODEN = "FGSEVI",
ISSN = "0167-739X (print), 1872-7115 (electronic)",
ISSN-L = "0167-739X",
bibdate = "Sat Jan 10 11:56:07 MST 2004",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/futgencompsys.bib",
acknowledgement = ack-nhfb,
remark = "Massive Parallel Computing.",
}
@Article{Rachowicz:1995:ODD,
author = "W. Rachowicz",
title = "An overlapping domain decomposition preconditioner for
an anisotropic {$h$}-adaptive finite element method",
journal = j-COMPUT-METH-APPL-MECH-ENG,
volume = "127",
number = "1--4",
pages = "269--292",
year = "1995",
CODEN = "CMMECC",
DOI = "https://doi.org/10.1016/0045-7825(95)00857-7",
ISSN = "0045-7825, 0374-2830",
MRclass = "65N55 (65N30)",
MRnumber = "1365377 (96h:65150)",
MRreviewer = "Weimin Han",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
}
@Book{Roache:1995:EMM,
author = "Patrick J. Roache",
title = "Elliptic marching methods and domain decomposition",
publisher = pub-CRC,
address = pub-CRC:adr,
pages = "xvi + 190",
year = "1995",
ISBN = "0-8493-7378-6",
ISBN-13 = "978-0-8493-7378-7",
MRclass = "65N55 (76M25)",
MRnumber = "1384759 (99d:65354)",
MRreviewer = "S. F. McCormick",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Symbolic and Numeric Computation Series",
acknowledgement = ack-nhfb,
}
@Article{Samarskii:1995:VAS,
author = "A. A. Samarski{\u\i} and P. N. Vabishchevich",
title = "Vector additive schemes of domain decomposition for
parabolic problems",
journal = "Differ. Uravn.",
volume = "31",
number = "9",
pages = "1563--1569, 1606",
year = "1995",
ISSN = "0374-0641",
MRclass = "65N55 (65Y05)",
MRnumber = "1433679 (98j:65089)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Differentsial\cprime nye Uravneniya",
}
@Article{Shi:1995:OPD,
author = "Peihu Shi",
title = "Orthogonal projection of the domain boundary operator
for elliptic problem by domain decomposition",
journal = "J. Southeast Univ. (English Ed.)",
volume = "11",
number = "1",
pages = "83--90",
year = "1995",
ISSN = "1003-7985",
MRclass = "65N55 (65N22)",
MRnumber = "1379955 (97f:65073)",
MRreviewer = "Charles I. Goldstein",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Southeast University. English Edition.
Dongnan Daxue Xuebao. Yingwen Ban",
}
@InCollection{Steinbach:1995:PIS,
author = "O. Steinbach",
booktitle = "{Fast solvers for flow problems (Kiel, 1994)}",
title = "Parallel iterative solvers for symmetric boundary
element domain decomposition methods",
volume = "49",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "263--272",
year = "1995",
MRclass = "65N38 (76M15)",
MRnumber = "1423821 (97j:65190)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@InCollection{Thanh:1995:DDM,
author = "Tran Thanh",
booktitle = "{Analysis and mechanics of continuous media (Ho Chi
Minh City, 1995)}",
title = "Domain decomposition methods for the {Galerkin}
boundary element approximation applied to screen and
crack problems",
volume = "3",
publisher = "HoChiMinh City Math. Soc.",
address = "Ho Chi Minh City, Vietname",
pages = "355--368",
year = "1995",
MRclass = "65N55 (35J25)",
MRnumber = "1368885",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Publ. HoChiMinh City Math. Soc.",
acknowledgement = ack-nhfb,
}
@Article{Tidriri:1995:DDC,
author = "Moulay D. Tidriri",
title = "Domain decomposition for compressible {Navier--Stokes}
equations with different discretizations and
formulations",
journal = j-J-COMPUT-PHYS,
volume = "119",
number = "2",
pages = "271--282",
year = "1995",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1006/jcph.1995.1135",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
MRclass = "76M25 (76N10)",
MRnumber = "1611299",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
}
@Article{Wehner:1995:PDM,
author = "M. F. Wehner and A. A. Mirin and P. G. Eltgroth and W.
P. Dannevik and C. R. Mechoso and J. D. Farrara and J.
A. Spahr",
title = "Performance of a distributed memory finite difference
atmospheric general circulation model",
journal = j-PARALLEL-COMPUTING,
volume = "21",
number = "10",
pages = "1655--1675",
day = "29",
month = nov,
year = "1995",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Fri Aug 6 10:14:15 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=10;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=10&aid=1020",
acknowledgement = ack-nhfb,
classification = "A9385 (Instrumentation and techniques for
geophysical, hydrospheric and lower atmosphere
research); B0290P (Differential equations); B7710B
(Atmospheric, ionospheric and magnetospheric techniques
and equipment); C4170 (Differential equations); C4240P
(Parallel programming and algorithm theory); C5220P
(Parallel architecture); C5440 (Multiprocessing
systems); C7340 (Geophysics computing)",
corpsource = "Climate Syst. Modeling Group, Lawrence Livermore Nat.
Lab., CA, USA",
keywords = "architectures; atmospheric techniques; circulation
model; difference methods; distributed memory finite
difference atmospheric general; distributed memory
systems; finite; geophysics computing; massively
parallel computer; message passing; multitasking vector
supercomputers; parallel algorithm; parallel
algorithms; parallelism; strategy; two dimensional
domain decomposition",
treatment = "A Application; P Practical",
}
@Article{Xu:1995:NSM,
author = "Chuanju Xu and Liankun Gu",
title = "Notes on the spectral methods for fluid dynamics",
journal = "J. Math. Study",
volume = "28",
number = "4",
pages = "1--8",
year = "1995",
ISSN = "1006-6837",
MRclass = "76M25",
MRnumber = "1412258 (97h:76096)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Study. Shuxue Yanjiu",
}
@Article{Yu:1995:RBS,
author = "De Hao Yu",
title = "The relationship between {Steklov--Poincar{\'e}}
operators and natural integral operators and {Green}
functions",
journal = "Math. Numer. Sinica",
volume = "17",
number = "3",
pages = "331--341",
year = "1995",
ISSN = "0254-7791",
MRclass = "47F05 (35J25 47G10 65N55)",
MRnumber = "1477096 (98j:47107)",
MRreviewer = "Qi Tang",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Zhadaeva:1995:DDM,
author = "N. G. Zhadaeva",
title = "On a domain decomposition method in nonstationary
problems of mathematical physics",
journal = "Differ. Uravn.",
volume = "31",
number = "7",
pages = "1217--1221, 1270",
year = "1995",
ISSN = "0374-0641",
MRclass = "65M55",
MRnumber = "1429780 (97j:65148)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Differentsial\cprime nye Uravneniya",
}
@Article{Zhou:1995:IDD,
author = "Shu Zi Zhou and Qiang Cheng",
title = "Inexact domain decomposition methods for solving
obstacle problems",
journal = "Hunan Daxue Xuebao",
volume = "22",
number = "6, suppl.",
pages = "17--20",
year = "1995",
CODEN = "HDAXE3",
ISSN = "1000-2472",
MRclass = "65K10 (49J40)",
MRnumber = "1432553",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Hunan Daxue Xuebao. Ziran Kexue Ban. Journal of Hunan
University. Natural Sciences",
}
@Article{Zhou:1995:OSS,
author = "J. J. Zhou and Moon-Jung Chung",
title = "Object-oriented simulation for the Superconducting
Super Collider",
journal = j-TRANS-SOC-COMP-SIM,
volume = "12",
number = "1",
pages = "1--25",
month = mar,
year = "1995",
CODEN = "TSCSEV",
ISSN = "0740-6797",
bibdate = "Wed Oct 30 05:42:27 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/gnu.bib",
abstract = "The design and implementation of an object-oriented
simulation environment, OZ, for the Superconducting
Super Collider (SSC) Laboratory is described in this
paper. The design applies object-oriented technology to
data management and visualization, behavior modeling,
and dynamic simulation. A simulation framework called
InterSim is proposed to model and simulate different
types of objects in large systems by their
functionality during the development of OZ. Our
framework supports encapsulation, code reuse, and a
loosely coupled development approach. A framework is a
collection of classes that are cohesive and
self-contained to provide a set of services for a
particular domain. InterSim provides four conceptual
layers of classes in the design of a simulation
environment. The design of each layer can proceed
independently, based on a set of predefined
responsibilities and protocols between each layer. Our
goal is to accumulatively create a complete
functionality within each layer for reuse in future
software development. OZ provides a graphical user
interface that allows the user to visualize the design
data as objects in the database and to interactively
model system components through direct manipulation.
Modeling can be exercised at different levels of the
system decomposition hierarchy before it is dynamically
bound into a system for simulation. Inheritance is used
to derive new behavior of the system or subsystem from
the existing one. The implementation uses C++, GLISTK
library, InterViews 2.6, ISTK library, GNU C++ library,
and the ObjectStore database management system.",
acknowledgement = ack-nhfb,
affiliation = "Software Solution RTP, IBM Corp., Research Triangle
Park, NC, USA",
classification = "A2980F (Programming for nuclear information
processing); C5640 (Protocols); C6110J (Object-oriented
programming); C6120 (File organisation); C6130B
(Graphics techniques); C6160J (Object-oriented
databases); C6180G (Graphical user interfaces); C6185
(Simulation techniques); C7320 (Physics and chemistry
computing)",
keywords = "Behavior modeling; C++; Code reuse; Data management;
Data visualization; Direct manipulation; Dynamic
simulation; Encapsulation; GLISTK library; GNU C++
library; Graphical user interface; Inheritance;
InterSim; InterViews 2.6; ISTK library; Loosely coupled
development approach; Object-oriented simulation; OZ;
Protocols; Superconducting Super Collider; System
components; System decomposition hierarchy",
pubcountry = "USA",
thesaurus = "Data visualisation; Digital simulation; Graphical user
interfaces; High energy physics instrumentation
computing; Inheritance; Object-oriented databases;
Object-oriented programming; Protocols",
}
@Article{Zhu:1995:DDA,
author = "Jing Hui Zhu",
title = "A domain decomposition algorithm for use in finite
difference methods",
journal = "Xiamen Daxue Xuebao Ziran Kexue Ban",
volume = "34",
number = "4",
pages = "517--524",
year = "1995",
CODEN = "HMHHAF",
ISSN = "0438-0479",
MRclass = "65N55",
MRnumber = "1409342 (97g:65264)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Xiamen Daxue Xuebao. Ziran Kexue Ban. Journal of
Xiamen University. Natural Science",
}
@Article{Abrashin:1996:CAD,
author = "V. N. Abrashin and S. N. L{\`e}khtikov",
title = "On the combination of the alternating direction method
and the finite element method for the solution of
problems in mathematical physics. {II}",
journal = "Differ. Uravn.",
volume = "32",
number = "7",
pages = "889--897, 1004",
year = "1996",
ISSN = "0374-0641",
MRclass = "65M55 (65M60)",
MRnumber = "1492300 (99c:65178)",
MRreviewer = "Thomas Apel",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Differentsial\cprime nye Uravneniya",
}
@Article{Abrashin:1996:DDM,
author = "V. N. Abrashin",
title = "On a domain decomposition method in the solution of
problems in mathematical physics",
journal = "Differ. Uravn.",
volume = "32",
number = "5",
pages = "652--660, 718",
year = "1996",
ISSN = "0374-0641",
MRclass = "65N55 (65M55)",
MRnumber = "1435350 (99a:65172)",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Differentsial\cprime nye Uravneniya",
}
@Article{Agouzal:1996:FDD,
author = "Abdellatif Agouzal and Na{\"{\i}}ma Debit",
title = "Une formulation de d{\'e}composition de domaines
spatio-temporelle pour les {\'e}quations hyperboliques.
({French}) [{A} formulation of spatio-temporal domain
decomposition for hyperbolic equations]",
journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH,
volume = "323",
number = "8",
pages = "957--960",
year = "1996",
CODEN = "CASMEI",
ISSN = "0764-4442 (print), 1778-3577 (electronic)",
MRclass = "65N55",
MRnumber = "1414565 (97k:65275)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus de l'Acad{\'e}mie des Sciences.
S{\'e}rie I. Math{\'e}matique",
language = "French",
}
@Article{Ainsworth:1996:HDD,
author = "Mark Ainsworth",
title = "A hierarchical domain decomposition preconditioner for
{$h$-$p$} finite element approximation on locally
refined meshes",
journal = j-SIAM-J-SCI-COMP,
volume = "17",
number = "6",
pages = "1395--1413",
month = nov,
year = "1996",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/S1064827594272578",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N30 (65F10)",
MRnumber = "1413707 (97j:65171)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/17/6;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
MathSciNet database",
URL = "http://epubs.siam.org/sam-bin/dbq/article/27257",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
}
@Article{Ainsworth:1996:PBD,
author = "Mark Ainsworth",
title = "A Preconditioner Based on Domain Decomposition for
$h$-$p$ Finite-Element Approximation on Quasi-Uniform
Meshes",
journal = j-SIAM-J-NUMER-ANAL,
volume = "33",
number = "4",
pages = "1358--1376",
month = aug,
year = "1996",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N30 (65F10)",
MRnumber = "1 403 549",
bibdate = "Fri Dec 4 13:36:09 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/33/4;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/25822",
acknowledgement = ack-nhfb,
}
@Article{Amitai:1996:PAH,
author = "Dganit Amitai and Amir Averbuch and Moshe Israeli and
Samuel Itzikowitz",
title = "On parallel asynchronous high-order solutions of
parabolic {PDEs}",
journal = j-NUMER-ALGORITHMS,
volume = "12",
number = "1--2",
pages = "159--192",
year = "1996",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/BF02141747",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
MRclass = "65M06 (65M12 65Y05)",
MRnumber = "1423554 (97m:65147)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
}
@Article{Baker:1996:MES,
author = "Brenda S. Baker and Edward G. {Coffman, Jr.}",
title = "Mutual exclusion scheduling",
journal = j-THEOR-COMP-SCI,
volume = "162",
number = "2",
pages = "225--243",
day = "20",
month = aug,
year = "1996",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:20:08 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1996&volume=162&issue=2;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1996&volume=162&issue=2&aid=2234",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C1180
(Optimisation techniques); C4170 (Differential
equations); C4230M (Multiprocessor interconnection);
C4240C (Computational complexity); C4240P (Parallel
programming and algorithm theory)",
corpsource = "Bell Labs., Murray Hill, NJ, USA",
keywords = "computational complexity; domain decomposition; graph
theory; heuristics; load-balancing; mutual exclusion
scheduling; NP-hard problem; optimisation; parallel
algorithms; partial differential equations; polynomial
time; processor scheduling; time intervals",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Baronio:1996:DDT,
author = "A. Baronio and F. Zama",
title = "A domain decomposition technique for spline image
restoration on distributed memory systems",
journal = j-PARALLEL-COMPUTING,
volume = "22",
number = "1",
pages = "101--110",
day = "20",
month = feb,
year = "1996",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
MRclass = "65N55 (65D07)",
MRnumber = "1 377 869",
bibdate = "Fri Aug 6 10:14:39 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1996&volume=22&issue=1;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1996&volume=22&issue=1&aid=1046",
acknowledgement = ack-nhfb,
affiliation = "Univ of Bologna",
affiliationaddress = "Bologna, Italy",
classification = "722.3; 723.2; 741; 921.6; B0290F (Interpolation and
function approximation); B6140C (Optical information,
image and video signal processing); C4130
(Interpolation and function approximation)C5220P
(Parallel architecture); C5260B (Computer vision and
image processing techniques)",
corpsource = "Dipartimento di Matematica, Bologna Univ., Italy",
journalabr = "Parallel Comput",
keywords = "Algorithms; Approximation theory; Basis spline
function; Data storage equipment; distributed;
Distributed computer systems; distributed memory;
Distributed memory systems; distributed memory systems;
Domain decomposition; domain decomposition; Hypercube
Intel; Image reconstruction; image restoration; image
spatial domain; iPSC/860; memory systems; optical;
point spread function; Regularization; Space variant
nonseparable point spread function; spline image
restoration; splines (mathematics); transfer function",
treatment = "T Theoretical or Mathematical",
}
@Article{Benamou:1996:DDM,
author = "Jean-David Benamou",
title = "A Domain Decomposition Method with Coupled
Transmission Conditions for the Optimal Control of
Systems Governed by Elliptic Partial Differential
Equations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "33",
number = "6",
pages = "2401--2416",
month = dec,
year = "1996",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/S0036142994267102",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65K10 (49M25 65N30 65Y05)",
MRnumber = "1427470 (98b:65071)",
MRreviewer = "Pekka Neittaanm{\"a}ki",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/33/6;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
MathSciNet database",
URL = "http://epubs.siam.org/sam-bin/dbq/article/26710",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@Article{Bjoerstad:1996:PIS,
author = "P. E. Bjoerstad and M. Dryja and E. Vainikko",
title = "Parallel Implementation of a {Schwarz} Domain
Decomposition Algorithm",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1184",
pages = "46--??",
year = "1996",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Fri Aug 22 11:59:49 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib",
acknowledgement = ack-nhfb,
}
@Article{Bjoerstad:1996:PRS,
author = "P. Bjoerstad and R. Moe and R. Olufsen and E.
Vainikko",
title = "Parallel Reservoir Simulation Based on Domain
Decomposition Techniques",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1067",
pages = "3--??",
year = "1996",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Wed Aug 14 09:38:08 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1996a.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Bollhofer:1996:ADD,
author = "Matthias Bollh{\"o}fer",
booktitle = "{Algebraic multilevel iteration methods with
applications, Vol. I, II (Nijmegen, 1996)}",
title = "Algebraic domain decomposition",
publisher = "Katholieke Univ. Nijmegen",
address = "Dept. Math., Nijmegen",
pages = "91--104",
year = "1996",
MRclass = "65F50",
MRnumber = "1466986",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Bornemann:1996:CMM,
author = "Folkmar A. Bornemann and Peter Deuflhard",
title = "The cascadic multigrid method for elliptic problems",
journal = j-NUM-MATH,
volume = "75",
number = "2",
pages = "135--152",
year = "1996",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s002110050234",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N55 (65F10 65N30)",
MRnumber = "1421984 (98a:65175)",
MRreviewer = "S. F. McCormick",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
}
@Article{Brand:1996:AHA,
author = "R. Brand and W. Freeden and J. Fr{\"o}hlich",
title = "An adaptive hierarchical approximation method on the
sphere using axisymmetric locally supported basis
functions",
journal = j-COMPUTING,
volume = "57",
number = "3",
pages = "187--212",
year = "1996",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02247405",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "86-08 (33C55 65D15 65D20 86A30)",
MRnumber = "1415005 (98a:86001)",
MRreviewer = "Menachem Dishon",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archives for Scientific Computing",
}
@Article{Cai:1996:ODD,
author = "Xiao-Chuan Cai and Yousef Saad",
title = "Overlapping domain decomposition algorithms for
general sparse matrices",
journal = j-NUM-LIN-ALG-APPL,
volume = "3",
number = "3",
pages = "221--237",
month = may # "\slash " # jun,
year = "1996",
CODEN = "NLAAEM",
DOI = "https://doi.org/10.1002/(SICI)1099-1506(199605/06)3:3<205::AID-NLA79>3.0.CO;2-K",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "65F50 (65N55)",
MRnumber = "1391886 (97b:65056)",
bibdate = "Sun Sep 5 09:21:22 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
http://www.math.utah.edu/pub/tex/bib/saad-yousef.bib;
http://www3.interscience.wiley.com/journalfinder.html;
MathSciNet database",
URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15000988",
acknowledgement = ack-nhfb,
fjournal = "Numerical Linear Algebra with Applications",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}
@InProceedings{Carvalho:1996:LAK,
author = "L. Carvalho and I. S. Duff and L. Giraud",
title = "Linear algebra kernels for parallel domain
decomposition methods",
crossref = "Papadrakakis:1996:ACM",
pages = "1--17",
year = "1996",
bibdate = "Mon Jan 02 09:27:18 2006",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/duff-iain-s.bib",
acknowledgement = ack-nhfb,
}
@Article{Cela:1996:PPL,
author = "J. M. Cela and J. M. Alfonso and J. Labarta",
title = "{PLS}: {A} Parallel Linear Solvers Library for Domain
Decomposition Methods",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1156",
pages = "319--??",
year = "1996",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Sat Dec 21 09:47:26 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib",
acknowledgement = ack-nhfb,
}
@Article{Chan:1996:CTM,
author = "Tony F. Chan and Jun Zou",
title = "A convergence theory of multilevel additive {Schwarz}
methods on unstructured meshes",
journal = j-NUMER-ALGORITHMS,
volume = "13",
number = "3--4",
pages = "365--398 (1997)",
month = "????",
year = "1996",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/BF02207701",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
MRclass = "65N55 (65F10 65M55 65N30)",
MRnumber = "1430525 (98d:65155)",
MRreviewer = "Tsorng-Whay Pan",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.psu.edu/dna/contents/na.html;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "B0290T (Finite element analysis); C4185 (Finite
element analysis); C4260 (Computational geometry)",
corpsource = "Dept. of Math., California Univ., Los Angeles, CA,
USA",
fjournal = "Numerical Algorithms",
keywords = "coarse grids; completely local bounds; convergence of
numerical methods; convergence theory; elliptic
equations; elliptic problems; fine grids; global coarse
problem; local subproblems; mesh generation; mesh
sizes; multilevel additive Schwarz domain decomposition
methods; nonself-adjoint parabolic problems; optimal
condition numbers; parabolic equations; shape-regular
grids; subdomain overlap; subdomain sizes; symmetric
positive definite solvers; unstructured meshes",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1996:OSM,
author = "Tony F. Chan and Barry F. Smith and Jun Zou",
title = "Overlapping {Schwarz} methods on unstructured meshes
using non-matching coarse grids",
journal = j-NUM-MATH,
volume = "73",
number = "2",
pages = "149--167",
month = apr,
year = "1996",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N30",
MRnumber = "97h:65135; 1 384 228",
MRreviewer = "Jan Mandel",
bibdate = "Sat Jun 6 05:48:29 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer.de/link/service/journals/00211/bibs/6073002/60730149.htm;
http://science.springer.de/nmee/bibs/6073002/60730149.htm",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4170 (Differential equations); C4185 (Finite element
analysis)",
corpsource = "Dept. of Math., California Univ., Los Angeles, CA,
USA",
keywords = "coarse mesh; convergence of numerical methods;
discrete problem; discretizations; domain decomposition
methods; elliptic equations; elliptic problems; fine
mesh; finite element interpolation; finite element
problems; global coarse mesh; interpolation; mesh
generation; Neumann boundary conditions; nonmatching
coarse grids; optimal convergence rate; overlapping
Schwarz methods; preconditioned system; unstructured
meshes",
treatment = "T Theoretical or Mathematical",
}
@Article{Charpentier:1996:DDM,
author = "I. Charpentier and J. Saint Jean Paulin",
title = "Domain decomposition methods for the study of the
particular behavior of a very thin long structure",
journal = j-NUMER-METHODS-PARTIAL-DIFFER-EQU,
volume = "12",
number = "6",
pages = "643--655",
year = "1996",
CODEN = "NMPDEB",
DOI = "https://doi.org/10.1002/(SICI)1098-2426(199611)12:6<643::AID-NUM1>3.3.CO;2-Y",
ISSN = "0749-159X",
MRclass = "73V20 (65N55 73B27 73K99)",
MRnumber = "1419768 (98a:73060)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Methods for Partial Differential Equations.
An International Journal",
}
@Article{Chen:1996:DDA,
author = "Zhangxin Chen and Richard E. Ewing and Raytcho
Lazarov",
title = "Domain decomposition algorithms for mixed methods for
second-order elliptic problems",
journal = j-MATH-COMPUT,
volume = "65",
number = "214",
pages = "467--490",
month = apr,
year = "1996",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N55 (65N30)",
MRnumber = "96g:65117",
MRreviewer = "Yves Achdou",
bibdate = "Fri Jul 16 10:38:32 MDT 1999",
bibsource = "http://www.ams.org/mcom/1996-65-214;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00703-X&u=/mcom/1996-65-214/",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Texas A and M Univ., College Station,
TX, USA",
classcodes = "B0290T (Finite element analysis); B0290F
(Interpolation and function approximation); C4185
(Finite element analysis); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Math., Texas A and M Univ., College Station,
TX, USA",
keywords = "convergence theory; domain decomposition; domain
decomposition algorithms; elliptic equations; finite
element analysis; iterative; iterative methods;
methods; mixed finite element methods; problems;
Schwarz methods; second-order elliptic",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Ciccoli:1996:ADD,
author = "M. C. Ciccoli",
title = "Adaptive domain decomposition algorithms and finite
volume/finite element approximation for
advection-diffusion equations",
journal = j-J-SCI-COMPUT,
volume = "11",
number = "4",
pages = "299--341",
year = "1996",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/BF02088951",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
MRclass = "76M25",
MRnumber = "1425581 (97g:76068)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
}
@Article{Dai:1996:NDD,
author = "Peiliang Dai and Shu Min Shen",
title = "The nonconforming domain decomposition method for
{Stokes} problems",
journal = "Numer. Math. J. Chinese Univ.",
volume = "18",
number = "3",
pages = "255--266",
year = "1996",
ISSN = "1000-081X",
MRclass = "65N55 (76D07 76D25)",
MRnumber = "1449334",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}
@InProceedings{Dostal:1996:NNT,
author = "Zden{\v{e}}k Dost{\'a}l and V{\'\i}t Vondr{\'a}k",
booktitle = "{Proceedings of the Prague Mathematical Conference
1996}",
title = "Neumann-{Neumann} type domain decomposition for the
solution of contact problem with {Coulomb} friction",
publisher = "Icaris, Prague",
pages = "83--88",
year = "1996",
MRclass = "65N55",
MRnumber = "1703461",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Douglas:1996:NEN,
author = "Jim {Douglas, Jr.} and Daoqi Yang",
booktitle = "{Numerical analysis}",
title = "Numerical experiments for a nonoverlapping domain
decomposition method for partial differential
equations",
publisher = "World Sci. Publ., River Edge, NJ",
pages = "85--97",
year = "1996",
MRclass = "65N55 (65N30)",
MRnumber = "1444616",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Egeciouglu:1996:DDP,
author = "O. Egeciouglu and A. Srinivasan",
title = "Domain Decomposition for Particle Methods on the
Sphere",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1117",
pages = "119--??",
year = "1996",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Tue Oct 29 14:12:39 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib",
acknowledgement = ack-nhfb,
}
@Article{Eisenhauer:1996:DAP,
author = "Greg Eisenhauer and Karsten Schwan",
title = "Design and Analysis of a Parallel Molecular Dynamics
Application",
journal = j-J-PAR-DIST-COMP,
volume = "35",
number = "1",
pages = "76--90",
day = "25",
month = may,
year = "1996",
CODEN = "JPDCER",
DOI = "https://doi.org/10.1006/jpdc.1996.0070",
ISSN = "0743-7315 (print), 1096-0848 (electronic)",
bibdate = "Thu Mar 9 09:19:00 MST 2000",
bibsource = "http://www.idealibrary.com/servlet/useragent?func=showAllIssues&curIssueID=jpdc;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/jpardistcomp.bib;
http://www.math.utah.edu/pub/tex/bib/super.bib",
URL = "http://www.idealibrary.com/links/doi/10.1006/jpdc.1996.0070/production;
http://www.idealibrary.com/links/doi/10.1006/jpdc.1996.0070/production/pdf",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A6120J
(Computer simulation of static and dynamic liquid
behaviour); C6110P (Parallel programming); C7320
(Physics and chemistry computing)",
corpsource = "Coll. of Comput., Georgia Inst. of Technol., Atlanta,
GA, USA",
keywords = "distributed memory MIMD; domain decomposition;
dynamics simulations; KSR supercomputers; MIMD;
molecular; molecular dynamics method; parallel
algorithms; parallel molecular dynamics;
parallelization; performance; program; scalability;
shared memory; synchronization",
treatment = "T Theoretical or Mathematical",
}
@Article{Everaars:1996:CDP,
author = "C. T. H. Everaars and F. Arbab",
title = "Coordination of Distributed\slash Parallel
Multiple-grid Domain Decomposition",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1117",
pages = "131--??",
year = "1996",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Tue Oct 29 14:12:39 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib",
acknowledgement = ack-nhfb,
}
@Article{Foster:1996:CPP,
author = "Ian Foster",
title = "Compositional Parallel Programming Languages",
journal = j-TOPLAS,
volume = "18",
number = "4",
pages = "454--476",
month = jul,
year = "1996",
CODEN = "ATPSDT",
ISSN = "0164-0925 (print), 1558-4593 (electronic)",
bibdate = "Thu Jan 9 11:33:28 MST 1997",
bibsource = "http://www.acm.org/pubs/toc/;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/toplas.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/toplas/233565.html",
abstract = "In task-parallel programs, diverse activities can take
place concurrently, and communication and
synchronization patterns are complex and not easily
predictable. Previous work has identified {\em
compositionality\/} as an important design principle
for task-parallel programs. In this article, we discuss
alternative approaches to the realization of this
principle, which holds that properties of program
components should be preserved when those components
are composed in parallel with other program components.
We review two programming languages, Strand and Program
Composition Notation, that support compositionality via
a small number of simple concepts, namely, monotone
operations on shared objects, a uniform addressing
mechanism, and parallel composition. Both languages
have been used extensively for large-scale application
development, allowing us to provide an informed
assessment of both their strengths and their
weaknesses. We observe that while compositionality
simplifies development of complex applications, the use
of specialized languages hinders reuse of existing code
and tools and the specification of domain decomposition
strategies. This suggests an alternative approach based
on small extensions to existing sequential languages.
We conclude the article with a discussion of two
languages that realized this strategy.",
acknowledgement = ack-nhfb,
keywords = "languages",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Concurrent, distributed, and parallel
languages. {\bf D.3.3}: Software, PROGRAMMING
LANGUAGES, Language Constructs and Features, Concurrent
programming structures.",
}
@Article{Gastaldi:1996:ADD,
author = "F. Gastaldi and L. Gastaldi and A. Quarteroni",
title = "Adaptive domain decomposition methods for advection
dominated equations",
journal = j-EW-J-NUM-MATH,
volume = "4",
number = "3",
pages = "165--206",
year = "1996",
CODEN = "EJNMEA",
ISSN = "0928-0200",
MRclass = "65N55",
MRnumber = "1424828 (97k:65279)",
MRreviewer = "S. F. McCormick",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "East-West Journal of Numerical Mathematics",
}
@Article{Georgiev:1996:IAO,
author = "Krassimir Georgiev",
title = "Implementation of the additive overlapping domain
decomposition method to 3-{D} elasticity problems",
journal = "Math. Balkanica (N.S.)",
volume = "10",
number = "4",
pages = "419--433",
year = "1996",
ISSN = "0205-3217",
MRclass = "65N30 (73V20)",
MRnumber = "1606963",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Balkanica. New Series",
}
@Book{Griffiths:1996:NA,
editor = "D. F. Griffiths and G. A. Watson",
title = "Numerical analysis",
publisher = "World Scientific Publishing Co. Inc.",
address = "River Edge, NJ, USA",
pages = "x + 370",
year = "1996",
ISBN = "981-02-2719-1",
ISBN-13 = "978-981-02-2719-7",
MRclass = "65-06 (00B30)",
MRnumber = "1444609 (97j:65003)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "A. R. Mitchell 75th birthday volume",
acknowledgement = ack-nhfb,
}
@Article{Hahne:1996:SIE,
author = "M. Hahne and E. P. Stephan",
title = "{Schwarz} Iterations for the Efficient Solution of
Screen Problems with Boundary Elements",
journal = j-COMPUTING,
volume = "56",
number = "1",
pages = "61--85",
year = "1996",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65N55 (65N38)",
MRnumber = "97b:65141",
MRreviewer = "Yves Achdou",
bibdate = "Fri Oct 15 15:40:58 MDT 1999",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
http://www.springer.at/springer.py?Page=40&Key=362&cat=3&id_journal=8;
MathSciNet database; OCLC Contents1st database",
URL = "http://www.springer.at/springer.py?Page=10&Key=362&cat=300607/tocs/springer.py?Page=47&Key=340&cat=3&id_abstract=286&id_volume=25&id_journal=8",
acknowledgement = ack-nhfb,
classification = "921.2; 921.3; 921.6",
journalabr = "Comput Vienna New York",
keywords = "Algorithms; Boundary conditions; Boundary element
method; Boundary integral equations; Convergence of
numerical methods; Derichlet boundary conditions;
Domain decomposition algorithms; Integral equations;
Iterative methods; Laplace transforms; Mathematical
models; Neumann boundary conditions; Schwartz
iterations",
}
@Article{Hazard:1996:STH,
author = "Christophe Hazard and Marc Lenoir",
title = "On the solution of time-harmonic scattering problems
for {Maxwell}'s equations",
journal = j-SIAM-J-MATH-ANA,
volume = "27",
number = "6",
pages = "1597--1630",
year = "1996",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/S0036141094271259",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
MRclass = "35Q60 (35C15 35J25 78A45)",
MRnumber = "1416510 (98c:35157)",
MRreviewer = "Rainer Picard",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
}
@Article{He:1996:DDM,
author = "Qiming He",
title = "Domain decomposition method for nonlinear generalized
{Schr{\"o}dinger-type} systems: semi-discrete problem",
journal = j-APPL-MATH-COMP,
volume = "77",
number = "1",
pages = "33--52",
day = "1",
month = jun,
year = "1996",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
MRclass = "65M55",
MRnumber = "1 386 689",
bibdate = "Fri Oct 22 17:48:10 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_free/browse/browse.cgi?year=1996&volume=77&issue=1;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_sub/browse/browse.cgi?year=1996&volume=77&issue=1&aid=9500159",
acknowledgement = ack-nhfb,
affiliation = "Inst. of Software Eng., Wuhan Univ., China",
}
@Article{Hegarty:1996:DDD,
author = "D. F. Hegarty and M. T. Kechadi and K. A. Dawson",
title = "Dynamic Domain Decomposition and Load Balancing for
Parallel Simulations of Long-Chained Molecules",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1041",
pages = "303--??",
year = "1996",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Sat May 11 13:45:32 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1996a.bib",
acknowledgement = ack-nhfb,
}
@Article{Heise:1996:PSL,
author = "B. Heise and M. Kuhn",
title = "Parallel solvers for linear and nonlinear exterior
magnetic field problems based upon coupled {FE\slash
BE} formulations",
journal = j-COMPUTING,
volume = "56",
number = "3",
pages = "237--258",
year = "1996",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65N55 (65N30 78A30)",
MRnumber = "97h:65148",
bibdate = "Fri Oct 15 15:41:02 MDT 1999",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
http://www.springer.at/springer.py?Page=40&Key=362&cat=3&id_journal=8;
MathSciNet database; OCLC Contents1st database",
note = "International GAMM-Workshop on Multi-level Methods
(Meisdorf, 1994)",
URL = "http://www.springer.at/springer.py?Page=10&Key=362&cat=300607/tocs/springer.py?Page=47&Key=340&cat=3&id_abstract=296&id_volume=27&id_journal=8",
acknowledgement = ack-nhfb,
classification = "701.2; 723; 921; 921.1; 921.2; 921.6",
journalabr = "Comput Vienna New York",
keywords = "Boundary element method; Boundary value problems;
Computational methods; Domain decomposition coupling;
Finite element method; Galerkin boundary element
methods; Magnetic field problems; Magnetic fields;
Magnetostatics; Mathematical models; Matrix algebra;
Multiprocessing systems; Parallel algorithms; Parallel
solvers; Preconditioning; Problem solving; Sommerfield
radiation; Variational techniques",
}
@Article{Huang:1996:ASA,
author = "Jian Guo Huang",
title = "An additive {Schwarz} alternating method using
nonconforming finite elements---the case of weak
overlap",
journal = "Math. Numer. Sin.",
volume = "18",
number = "1",
pages = "103--112",
year = "1996",
ISSN = "0254-7791",
MRclass = "65N55 (65N30)",
MRnumber = "1433732 (97m:65227)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Hwang:1996:BEI,
author = "Kai Hwang and Zhiwei Xu and Masahiro Arakawa",
title = "Benchmark Evaluation of the {IBM} {SP2} for Parallel
Signal Processing",
journal = j-IEEE-TRANS-PAR-DIST-SYS,
volume = "7",
number = "5",
pages = "522--536 (or 522--535??)",
month = may,
year = "1996",
CODEN = "ITDSEO",
ISSN = "1045-9219 (print), 1558-2183 (electronic)",
bibdate = "Fri Nov 6 12:31:15 MST 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib",
URL = "http://www.computer.org/tpds/td1996/l0522abs.htm",
acknowledgement = ack-nhfb,
affiliation = "Univ of Hong Kong",
affiliationaddress = "Pokfulam, Hong Kong",
classification = "716.1; 722.4; 723; 723.1; C5260 (Digital signal
processing); C5440 (Multiprocessing systems); C5470
(Performance evaluation and testing); C6150N
(Distributed systems software)",
corpsource = "Dept. of Comput. Sci., Hong Kong Univ., Hong Kong",
journalabr = "IEEE Trans Parallel Distrib Syst",
keywords = "AIX parallel programming environment; architectures;
benchmark experiments; coarse-grain parallelism;
Collective communication; collective communication
operations; Computer architecture; Computer
programming; Computer software; Data communication
systems; Data parallelism; distributed memory systems;
domain decomposition; High-Order; IBM message-passing
library; IBM SP2 architecture; massively; Massively
parallel processors; message; message passing; Message
passing library; parallel; Parallel processing systems;
parallel processors; parallel signal processing;
partitioned; passing multicomputers; performance
evaluation; Post-Doppler program; processing; programs;
radar signal; radar signal processing; Real time
systems; real-time systems; Response time (computer
systems); scalability analysis; Scalability analysis;
Signal processing; Space time adaptive processing;
Space-Time Adaptive Processing",
treatment = "P Practical",
}
@Article{Jiang:1996:MAD,
author = "Mei Qun Jiang",
title = "Matrix analysis of domain decomposition methods for
the biharmonic equation",
journal = "Numer. Math. J. Chinese Univ.",
volume = "18",
number = "1",
pages = "1--6",
year = "1996",
ISSN = "1000-081X",
MRclass = "65N55",
MRnumber = "1600725",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}
@Article{Kahlert:1996:GPV,
author = "Martin Kahlert and Meinhard Paffrath and Utz Wever",
title = "Grid partitioning versus domain decomposition: a
comparison of some industrial problems on workstation
clusters",
journal = "Surveys Math. Indust.",
volume = "6",
number = "2",
pages = "133--166",
year = "1996",
CODEN = "SMINER",
ISSN = "0938-1953",
MRclass = "65Y05 (65F05 65F10)",
MRnumber = "1418858",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Surveys on Mathematics for Industry",
}
@Article{Karageorghis:1996:SDD,
author = "Andreas Karageorghis and Tao Tang",
title = "A spectral domain decomposition approach for steady
{Navier--Stokes} problems in circular geometries",
journal = "Comput. \& Fluids",
volume = "25",
number = "6",
pages = "541--549",
year = "1996",
CODEN = "CPFLB1",
DOI = "https://doi.org/10.1016/0045-7930(96)00006-0",
ISSN = "0045-7930",
MRclass = "76M25 (65N55)",
MRnumber = "1408535 (97f:76061)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Fluids. An International Journal",
}
@Article{Khoromskij:1996:FCI,
author = "Boris N. Khoromskij",
title = "On fast computations with the inverse to harmonic
potential operators via domain decomposition",
journal = j-NUM-LIN-ALG-APPL,
volume = "3",
number = "2",
pages = "91--111",
month = mar # "\slash " # apr,
year = "1996",
CODEN = "NLAAEM",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "65N55 (65N38)",
MRnumber = "96k:65080",
MRreviewer = "W{\l}odzimierz Proskurowski",
bibdate = "Wed Sep 15 19:24:14 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
http://www3.interscience.wiley.com/journalfinder.html",
URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15000986",
acknowledgement = ack-nhfb,
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}
@InProceedings{Korneev:1996:PDD,
author = "V. G. Korneev and S. A. Ivanov",
booktitle = "{Proceedings of the International Conference on the
Optimization of the Finite Element Approximations (St.\
Petersburg, 1995)}",
title = "Preconditioning in the domain decomposition methods
for the {$p$}-version with the hierarchical bases",
volume = "8(9)",
publisher = "????",
address = "????",
pages = "63--73",
year = "1996",
ISSN = "0234-0879",
MRclass = "65N55 (65F10)",
MRnumber = "1444873 (97m:65230)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Mat. Model.",
acknowledgement = ack-nhfb,
fjournal = "Rossi\u\i skaya Akademiya Nauk. Matematicheskoe
Modelirovanie",
}
@InCollection{Kuhn:1996:DDB,
author = "Michael Kuhn",
booktitle = "{Boundary elements: implementation and analysis of
advanced algorithms (Kiel, 1996)}",
title = "Domain decomposition boundary element methods:
preprocessing and parallel solution",
volume = "54",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
pages = "147--158",
year = "1996",
MRclass = "65N55 (65N22 65N38 65Y05)",
MRnumber = "1724964",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
series = "Notes Numer. Fluid Mech.",
acknowledgement = ack-nhfb,
}
@Article{Laevsky:1996:POG,
author = "Yu. M. Laevsky",
title = "Preconditioning operators for grid parabolic
problems",
journal = j-RUSS-J-NUM-ANAL-MATH-MODEL,
volume = "11",
number = "6",
pages = "497--515",
year = "1996",
CODEN = "RJNMEH",
DOI = "https://doi.org/10.1515/rnam.1996.11.6.497",
ISSN = "0927-6467",
MRclass = "65M55 (65M50)",
MRnumber = "1436842 (98a:65136)",
MRreviewer = "Stanly L. Steinberg",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Russian Journal of Numerical Analysis and Mathematical
Modelling",
}
@Article{Lybeck:1996:SMD,
author = "Nancy J. Lybeck and Kenneth L. Bowers",
title = "Sinc Methods for Domain Decomposition",
journal = j-APPL-MATH-COMP,
volume = "75",
number = "1",
pages = "13--41",
day = "1",
month = mar,
year = "1996",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
MRclass = "65N55",
MRnumber = "97a:65108",
MRreviewer = "Lutz Tobiska",
bibdate = "Fri Oct 22 17:48:01 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_free/browse/browse.cgi?year=1996&volume=75&issue=1;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_sub/browse/browse.cgi?year=1996&volume=75&issue=1&aid=9500099",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. Sci., Montana State Univ., Bozeman, MT,
USA",
xxnumber = "2--3",
}
@Article{Ma:1996:PPC,
author = "Sangback Ma",
title = "A partial proof of the convergence of the block-{ADI}
preconditioner",
journal = "Commun. Korean Math. Soc.",
volume = "11",
number = "2",
pages = "495--501",
year = "1996",
ISSN = "1225-1763",
MRclass = "65F50 (65F10)",
MRnumber = "1431615 (97j:65076)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Korean Mathematical Society. Communications",
}
@Article{Maischak:1996:DDM,
author = "Matthias Maischak and Ernst P. Stephan and Thanh
Tran",
title = "Domain decomposition methods for boundary integral
equations of the first kind: numerical results",
journal = j-APPL-ANAL,
volume = "63",
number = "1--2",
pages = "111--132",
year = "1996",
CODEN = "APANCC",
DOI = "https://doi.org/10.1080/00036819608840498",
ISSN = "0003-6811",
MRclass = "65N55 (65N38)",
MRnumber = "1622615 (99c:65234)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applicable Analysis. An International Journal",
}
@Article{Mandel:1996:BDD,
author = "Jan Mandel and Marian Brezina",
title = "Balancing domain decomposition for problems with large
jumps in coefficients",
journal = j-MATH-COMPUT,
volume = "65",
number = "216",
pages = "1387--1401",
month = oct,
year = "1996",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
MRclass = "65N55 (65F10)",
MRnumber = "97a:65109",
MRreviewer = "Zheng Hui Xie",
bibdate = "Fri Jul 16 10:38:37 MDT 1999",
bibsource = "http://www.ams.org/mcom/1996-65-216;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00757-0&u=/mcom/1996-65-216/",
acknowledgement = ack-nhfb,
classcodes = "B0290T (Finite element analysis); B0290P (Differential
equations); B0290B (Error analysis in numerical
methods); C4185 (Finite element analysis); C4170
(Differential equations); C4110 (Error analysis in
numerical methods)",
corpsource = "Comput. Math. Center, Colorado Univ., Denver, CO,
USA",
keywords = "abstract theory; Balancing Domain Decomposition;
condition number bounds; elements; elliptic equation;
elliptic equations; error; error analysis; finite;
finite element analysis; iteration solution; linear
elements; mesh size; subdomains",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Markus:1996:PEM,
author = "S. Markus and S. B. Kim and K. Pantazopoulos and A. L.
Ocken and E. N. Houstis and P. Wu and S. Weerawarana
and D. Maharry",
title = "Performance evaluation of {MPI} implementations and
{MPI} based {Parallel ELLPACK} solvers",
crossref = "IEEE:1996:PSM",
pages = "162--169",
year = "1996",
bibdate = "Sat Apr 19 16:34:54 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4170 (Differential
equations); C4185 (Finite element analysis); C6150N
(Distributed systems software); C7310 (Mathematics
computing)",
conftitle = "Proceedings. Second MPI Developer's Conference",
corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
IN, USA",
keywords = "application program interfaces; distributed memory
architectures; domain decomposition; elliptic boundary
value problems; elliptic equations; finite difference
methods; finite element mesh generation; iterative
solvers; ITPACK library; mathematics computing; mesh
generation; mesh partitioning; message passing; message
passing communication libraries; MIMD; MPI; Parallel
ELLPACK; parallel mesh generator; partial differential
equations; problem solving environment; PVM; second
order elliptic partial differential equations; software
libraries; software performance evaluation; sparse
algebraic equations; sparse matrices; workstation
clusters",
sponsororg = "IEEE Comput. Soc. Tech. Committee on Distributed
Process",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Rui:1996:NDD,
author = "H. X. Rui",
title = "Nonoverlapping domain decomposition method with mixed
element for elliptic problems",
journal = j-J-COMP-MATH,
volume = "14",
number = "4",
pages = "291--300",
year = "1996",
CODEN = "JCMMEB",
ISSN = "0254-9409",
MRclass = "65N55",
MRnumber = "1414849 (97m:65231)",
MRreviewer = "Charles I. Goldstein",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Mathematics. An International
Journal on Numerical Methods, Analysis and
Applications",
}
@Article{Samarskii:1996:ICA,
author = "A. A. Samarski{\u\i} and P. N. Vabishchevich",
title = "Iterative cluster aggregation methods for systems of
linear equations",
journal = j-DOKL-AKAD-NAUK,
volume = "349",
number = "1",
pages = "22--25",
year = "1996",
CODEN = "DANKAS",
ISSN = "0869-5652",
MRclass = "65F10",
MRnumber = "1440978 (98d:65041)",
MRreviewer = "Olexander S. Babanin",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Rossi\u\i skaya Akademiya Nauk. Doklady Akademii
Nauk",
}
@InProceedings{Schnack:1996:NOD,
author = "E. Schnack and Sz. Szikrai and K. T{\"u}rke",
booktitle = "{Proceedings of the Prague Mathematical Conference
1996}",
title = "Non-overlapping domain decomposition with {BEM} and
{FEM}: theory and applications",
publisher = "Icaris, Prague",
pages = "289--294",
year = "1996",
MRclass = "65M55 (65N55)",
MRnumber = "1703495",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InProceedings{Schwandt:1996:GCI,
author = "H. Schwandt",
title = "Globally Convergent Iterative Domain Decomposition
Methods for the Parallel Solution of a Class of
Nonlinear Systems of Equations",
crossref = "Alefeld:1996:SCV",
pages = "280--286",
year = "1996",
bibdate = "Mon May 20 06:32:10 MDT 2002",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib; OCLC
Proceedings database",
acknowledgement = ack-nhfb,
}
@InCollection{Shao:1996:ADD,
author = "S. Shao and R. C. Y. Chin",
booktitle = "{Differential equations and applications (Hangzhou,
1996)}",
title = "An asymptotic-domain decomposition method for a
time-dependent singularly perturbed system",
publisher = "Int. Press, Cambridge, MA",
pages = "269--276",
year = "1996",
MRclass = "65M55 (35K10)",
MRnumber = "1602579",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Shishkin:1996:PDD,
author = "Grigorii I. Shishkin and Petr N. Vabishchevich",
title = "Parallel domain decomposition methods with the
overlapping of subdomains for parabolic problems",
journal = j-MATH-MODELS-METHODS-APPL-SCI,
volume = "6",
number = "8",
pages = "1169--1185",
year = "1996",
CODEN = "MMMSEU",
DOI = "https://doi.org/10.1142/S0218202596000493",
ISSN = "0218-2025",
MRclass = "65N55 (65N06 65N12)",
MRnumber = "1428151 (97j:65196)",
MRreviewer = "Zheng Hui Xie",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Models \& Methods in Applied Sciences",
}
@Book{Smith:1996:DD,
author = "Barry F. Smith and Petter E. Bj{\o}rstad and William
D. Gropp",
title = "Domain decomposition",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xii + 224",
year = "1996",
ISBN = "0-521-49589-X",
ISBN-13 = "978-0-521-49589-9",
MRclass = "65-01 (65M55 65N55)",
MRnumber = "1410757 (98g:65003)",
MRreviewer = "Lutz Tobiska",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Parallel multilevel methods for elliptic partial
differential equations",
acknowledgement = ack-nhfb,
}
@InCollection{Spielman:1996:SPW,
author = "Daniel A. Spielman and Shang-Hua Teng",
booktitle = "{37th Annual Symposium on Foundations of Computer
Science (Burlington, VT, 1996)}",
title = "Spectral partitioning works: planar graphs and finite
element meshes",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "96--105",
year = "1996",
DOI = "https://doi.org/10.1109/SFCS.1996.548468",
MRclass = "65N30 (05C50 68R10)",
MRnumber = "1450607 (98d:65144)",
MRreviewer = "Beny Neta",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Book{Steinbach:1996:GRE,
author = "Olaf Steinbach",
title = "{Gebietszerlegungsmethoden mit Randintegralgleichungen
und effiziente numerische L{\"o}sungsverfahren f{\"u}r
gemischte Randwertprobleme}. ({German}) [{Area}
decomposition methods with boundary integral equations
and efficient numeric solution procedures for mixed
boundary value problems]",
publisher = "Universit{\"a}t Stuttgart",
address = "Stuttgart, Germany",
pages = "iv + 155",
year = "1996",
MRclass = "65N55 (65N38)",
MRnumber = "1466967 (98f:65121)",
MRreviewer = "Lutz Tobiska",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Dissertation, Universit{\"a}t Stuttgart, Stuttgart,
1996",
acknowledgement = ack-nhfb,
language = "German",
}
@InProceedings{Strietzel:1996:PTS,
author = "M. Strietzel",
title = "Parallel turbulence simulation based on {MPI}",
crossref = "Liddell:1996:HCN",
pages = "283--289",
year = "1996",
bibdate = "Sat Apr 19 16:34:54 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0270
(Computational techniques); A4710 (General fluid
dynamics theory, simulation and other computational
methods); A4725 (Turbulent flows, convection, and heat
transfer); C4240P (Parallel programming and algorithm
theory); C6110P (Parallel programming); C7320 (Physics
and chemistry computing)",
conftitle = "High-Performance Computing and Networking.
International Conference and Exhibition HPCN Europe
1996",
corpsource = "Zentrum fur Paralleles Rechnen, Koln Univ., Germany",
keywords = "direct numerical simulation; divide and conquer
method; divide and conquer methods; domain
decomposition; flow simulation; large-eddy simulation;
message passing; message passing platform; MPI;
numerical analysis; parallel algorithms; parallel
turbulence simulation; parallelization strategy;
physics computing; Poisson equation; three dimensional
incompressible Navier--Stokes equation; turbulence;
turbulent fluids",
treatment = "T Theoretical or Mathematical",
}
@Article{Trotsenko:1996:ADD,
author = "V. A. Trotsenko",
title = "Application of the domain decomposition method to a
nonlinear problem in a variational formulation",
journal = "Dopov. Nats. Akad. Nauk Ukra{\"\i} ni",
volume = "4",
number = "??",
pages = "34--38",
year = "1996",
ISSN = "0868-8044",
MRclass = "73K15 (73G05 73V25)",
MRnumber = "1417613",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Nats\=\i onal\cprime na Akadem\=\i ya Nauk Ukra{\"\i}
ni. Dopov\=\i d\=\i. Matematika. Prirodoznavstvo.
Tekhn\=\i chn\=\i\ Nauki",
}
@Article{Trotta:1996:MFE,
author = "R. L. Trotta",
title = "Multidomain finite elements for advection--diffusion
equations",
journal = j-APPL-NUM-MATH,
volume = "21",
number = "1",
pages = "91--118",
day = "6",
month = jun,
year = "1996",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(95)00131-X",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55; 65Nxx",
MRnumber = "1418698 (97i:65180)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1996&volume=21&issue=1;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
MathSciNet database",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1996&volume=21&issue=1&aid=679",
acknowledgement = ack-nhfb,
affiliation = "Universita degli Studi di Trento",
affiliationaddress = "Trento, Italy",
classification = "921; 921.2; 921.6",
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journalabr = "Appl Numer Math",
keywords = "Adaptive algorithms; Adaptive Dirichlet Neumann
methods; Adaptive domain decomposition algorithms;
Adaptive Robin Neumann methods; Advection diffusion
equation; Finite element method; Galerkin method;
Iterative methods; Nonoverlapping multidomain
partitions; Partial differential equations;
Transmission conditions",
}
@Article{Tsui:1996:PDD,
author = "Wai Kin Tsui",
title = "Preconditioned domain decomposition methods for
non-self-adjoint elliptic problems",
journal = "Southeast Asian Bull. Math.",
volume = "20",
number = "3",
pages = "109--116",
year = "1996",
ISSN = "0218-0006",
MRclass = "65M55 (65N55)",
MRnumber = "1430615",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "Conference on Scientific Computation '94 (Shatin,
1994)",
acknowledgement = ack-nhfb,
fjournal = "Southeast Asian Mathematical Society. Southeast Asian
Bulletin of Mathematics",
}
@Article{Vabishchevich:1996:DSD,
author = "P. N. Vabishchevich",
title = "Difference schemes of domain decomposition for
nonstationary convection-diffusion problems",
journal = "Differ. Uravn.",
volume = "32",
number = "7",
pages = "923--927, 1005",
year = "1996",
ISSN = "0374-0641",
MRclass = "65M55 (76M20 76Rxx)",
MRnumber = "1492304 (98i:65075)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Differentsial\cprime nye Uravneniya",
}
@Article{Widlund:1996:DDM,
author = "Olof B. Widlund",
title = "Domain decomposition methods for spectral and mortar
finite element approximations of elliptic problems",
journal = j-Z-ANGE-MATH-MECH,
volume = "76",
number = "suppl. 1",
pages = "247--250",
year = "1996",
CODEN = "ZAMMAX",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
MRclass = "65N55 (65K10)",
MRnumber = "1444400",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
note = "ICIAM/GAMM 95 (Hamburg, 1995)",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik",
}
@Article{Xiong:1996:CPD,
author = "Yue-shan Xiong",
title = "The {Chebyshev} pseudospectral domain decomposition
method for solving two-dimensional elliptic equation",
journal = "Numer. Math. J. Chinese Univ. (English Ser.)",
volume = "5",
number = "1",
pages = "1--12",
year = "1996",
ISSN = "1004-8979 (print), 2079-7338 (electronic)",
MRclass = "65N35 (65N55)",
MRnumber = "1633427",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. (English Series)",
}
@Article{Xu:1996:DDM,
author = "Chuan Ju Xu",
title = "A domain decomposition method for solving generalized
viscous-inviscid coupled equations",
journal = "Xiamen Daxue Xuebao Ziran Kexue Ban",
volume = "35",
number = "2",
pages = "168--173",
year = "1996",
CODEN = "HMHHAF",
ISSN = "0438-0479",
MRclass = "76D07 (65N55 76M25)",
MRnumber = "1410256 (97i:76046)",
MRreviewer = "Wu Zhang",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Xiamen Daxue Xuebao. Ziran Kexue Ban. Journal of
Xiamen University. Natural Science",
}
@Article{Yang:1996:PIN,
author = "Daoqi Yang",
title = "A parallel iterative nonoverlapping domain
decomposition procedure for elliptic problems",
journal = j-IMA-J-NUMER-ANAL,
volume = "16",
number = "1",
pages = "75--91",
month = jan,
year = "1996",
CODEN = "IJNADH",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65N55 (65M55 65Y05 68Q22)",
MRnumber = "97d:65063",
MRreviewer = "Li Shan Kang",
bibdate = "Tue Dec 26 12:54:22 2000",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/;
MathSciNet database",
URL = "http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160075.sgm.abs.html",
acknowledgement = ack-nhfb,
}
@Article{Yu:1996:DND,
author = "De Hao Yu",
title = "A discretization of a nonoverlapping domain
decomposition method for unbounded domains and its
convergence",
journal = "Math. Numer. Sin.",
volume = "18",
number = "3",
pages = "328--336",
year = "1996",
ISSN = "0254-7791",
MRclass = "65N30 (65N06)",
MRnumber = "1438014",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue",
}
@Article{Yuan:1996:LBP,
author = "X. Yuan and B. He and D. Balsara and R. Melhem",
title = "A Load Balancing Package for Domain Decomposition on
Distributed Memory Systems",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1067",
pages = "547--??",
year = "1996",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Wed Aug 14 09:38:08 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1996a.bib",
acknowledgement = ack-nhfb,
}
@Article{Zeng:1996:DDM,
author = "Jin Ping Zeng",
title = "A domain decomposition method with monotone
convergence",
journal = "Numer. Math. J. Chinese Univ.",
volume = "18",
number = "2",
pages = "175--182",
year = "1996",
ISSN = "1000-081X",
MRclass = "65N55 (49J40)",
MRnumber = "1600792",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. A Journal of Chinese
Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}
@Article{Zhang:1996:IDD,
author = "Tie Zhang and Bao Kuan Li",
title = "Iterative domain decomposition algorithms for solving
finite element equations",
journal = "J. Northeast. Univ. Nat. Sci.",
volume = "17",
number = "5",
pages = "571--575",
year = "1996",
CODEN = "DDXKEZ",
ISSN = "1005-3026",
MRclass = "65N30 (65N12 65Y05)",
MRnumber = "1440583 (97m:65213)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northeastern University. Natural Science.
Dongbei Daxue Xuebao. Ziran Kexue Ban",
}
@InCollection{Achdou:1997:AME,
author = "Yves Achdou and Yuri Kuznetsov",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Algorithms for the mortar element method",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "33--42",
year = "1997",
MRclass = "65N55 (65N30)",
MRnumber = "1943444",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Achdou:1997:MEM,
author = "Yves Achdou and Jean-Claude Hontand and Olivier
Pironneau",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "A mortar element method for fluids",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "351--360",
year = "1997",
MRclass = "65M55 (65Y05 76M10)",
MRnumber = "1943478",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Ashcraft:1997:UDD,
author = "Cleve Ashcraft and Joseph W. H. Liu",
title = "Using domain decomposition to find graph bisectors",
journal = j-BIT-NUM-MATH,
volume = "37",
number = "3",
pages = "506--534",
month = sep,
year = "1997",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65F50 (65F05 68R10)",
MRnumber = "1 483 672",
bibdate = "Fri Nov 13 07:00:34 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
note = "Direct methods, linear algebra in optimization,
iterative methods (Toulouse, 1995/1996).",
URL = "http://www.mai.liu.se/BIT/contents/bit37.html",
acknowledgement = ack-nhfb,
}
@Article{Averbuch:1997:HST,
author = "A. Averbuch and L. Ioffe and M. Israeli and L.
Vozovoi",
title = "Highly Scalable Two- and Three-Dimensional
{Navier--Stokes} Parallel Solvers on {MIMD}
Multiprocessors",
journal = j-J-SUPERCOMPUTING,
volume = "11",
number = "1",
pages = "7--39",
month = mar,
year = "1997",
CODEN = "JOSUED",
DOI = "https://doi.org/10.1023/A:1007909328601",
ISSN = "0920-8542 (print), 1573-0484 (electronic)",
ISSN-L = "0920-8542",
bibdate = "Wed Jul 6 12:13:06 MDT 2005",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0920-8542&volume=11&issue=1;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/jsuper.bib;
http://www.wkap.nl/issuetoc.htm/0920-8542+11+1+1997",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0920-8542&volume=11&issue=1&spage=7;
http://www.wkap.nl/oasis.htm/141469",
acknowledgement = ack-nhfb,
classification = "A4710 (General fluid dynamics theory, simulation and
other computational methods); C4170 (Differential
equations); C4190 (Other numerical methods); C5440
(Multiprocessing systems); C6110P (Parallel
programming); C7320 (Physics and chemistry computing)",
corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel",
keywords = "3D periodic box; domain decomposition; Fourier
transforms; global elliptic problems; Helmholtz;
Helmholtz equations; incompressible three dimensional
Navier--Stokes equations; interior boundaries; Local
Fourier Basis technique; local functions; MDLF method;
MIMD multiprocessors; multidomain local Fourier method;
multiprocessing systems; Navier--Stokes equations;
Navier--Stokes parallel solvers; neighboring
subdomains; parallel algorithm; parallel algorithms;
parallel strips; physics computing; Poisson types;
standard Fourier method; third order multistep method;
time discretization; time discretization procedure;
weighted interface Green functions",
pubcountry = "Netherlands",
treatment = "P Practical",
}
@InCollection{Averbuch:1997:PIM,
author = "A. Averbuch and K. Ruvinsky and M. Israeli and L.
Vozovoi",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Parallel implementation of multidomain {Fourier}
algorithm for 2-{D} and 3-{D Navier--Stokes}
equations",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "433--441",
year = "1997",
MRclass = "65M70 (65M55 65Y05 76M25)",
MRnumber = "1943483",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Bamberger:1997:DDM,
author = "Alain Bamberger and Roland Glowinski and Quang Huy
Tran",
title = "A Domain Decomposition Method for the Acoustic Wave
Equation with Discontinuous Coefficients and Grid
Change",
journal = j-SIAM-J-NUMER-ANAL,
volume = "34",
number = "2",
pages = "603--639",
month = apr,
year = "1997",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65M55 (35L05 46N40 65M12)",
MRnumber = "98c:65161",
MRreviewer = "Dennis C. Jespersen",
bibdate = "Fri Dec 4 13:36:09 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/34/2;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/26151",
acknowledgement = ack-nhfb,
}
@InCollection{Bjorstad:1997:ASM,
author = "Petter E. Bj{\o}rstad and Maksymilian Dryja and Eero
Vainikko",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Additive {Schwarz} methods without subdomain overlap
and with new coarse spaces",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "141--157",
year = "1997",
MRclass = "65N55",
MRnumber = "1943457",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Bornemann:1997:CMM,
author = "Folkmar A. Bornemann and Peter Deuflhard",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Cascadic multigrid methods",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "205--212",
year = "1997",
MRclass = "65N55",
MRnumber = "1943461",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Brakkee:1997:DDI,
author = "E. Brakkee and C. Vuik and P. Wesseling",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Domain decomposition for the incompressible
{Navier--Stokes} equations: solving subdomain problems
accurately and inaccurately",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "443--451",
year = "1997",
MRclass = "65M55 (65M06 76M25)",
MRnumber = "1943484",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Bristeau:1997:ECD,
author = "M. O. Bristeau and E. J. Dean and R. Glowinski and V.
Kwok and J. Periaux",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Exact controllability and domain decomposition methods
with non-matching grids for the computation of
scattering waves",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "291--308",
year = "1997",
MRclass = "65N55 (35B25 35J05 35P25 65M55)",
MRnumber = "1943472",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Bristeau:1997:FDM,
author = "M. O. Bristeau and V. Girault and R. Glowinski and
T.-W. Pan and J. P{\'e}riaux and Y. Xiang",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "On a fictitious domain method for flow and wave
problems",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "361--386",
year = "1997",
MRclass = "65N30 (65M60 76M25)",
MRnumber = "1943479",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Cai:1997:SMU,
author = "Xiao-Chuan Cai and Charbel Farhat and Marcus Sarkis",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "{Schwarz} methods for the unsteady compressible
{Navier--Stokes} equations on unstructured meshes",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "453--460",
year = "1997",
MRclass = "65M55 (76M25)",
MRnumber = "1943485",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Carstensen:1997:DDN,
author = "Carsten Carstensen",
title = "Domain decomposition for a non-smooth convex
minimization problem and its application to
plasticity",
journal = j-NUM-LIN-ALG-APPL,
volume = "4",
number = "3",
pages = "177--190",
month = may # "\slash " # jun,
year = "1997",
CODEN = "NLAAEM",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "73V20 (49J45 65N55 73E05 73V25)",
MRnumber = "98d:73067",
MRreviewer = "Weimin Han",
bibdate = "Wed Sep 15 19:24:16 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
http://www3.interscience.wiley.com/journalfinder.html",
URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15027;
http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=15027&PLACEBO=IE.pdf",
acknowledgement = ack-nhfb,
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}
@Article{Carvalho:1997:PCC,
author = "L. M. R. Carvalho and J. M. L. M. Palma",
title = "Parallelization of a {CFD} Code Using {PVM} and Domain
Decomposition Techniques",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1215",
pages = "247--??",
year = "1997",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Fri Aug 22 11:59:49 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib",
acknowledgement = ack-nhfb,
}
@Article{Cermele:1997:NUD,
author = "M. Cermele and M. Colajanni",
title = "Non-uniform and dynamic domain decompositions for
hypercomputing",
journal = j-PARALLEL-COMPUTING,
volume = "23",
number = "6",
pages = "699--720",
day = "20",
month = jun,
year = "1997",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Fri Aug 6 10:15:27 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1997&volume=23&issue=6;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1997&volume=23&issue=6&aid=1179",
acknowledgement = ack-nhfb,
affiliation = "Universita di Roma",
affiliationaddress = "Rome, Italy",
classification = "722.4; 723.1",
journalabr = "Parallel Comput",
keywords = "Adaptive data distribution; Algorithms; Computer
networks; Computer programming; Data migrations; Data
partition algorithm; Distributed computer systems;
Irregular domain decomposition; Parallel processing
systems; Response time (computer systems)",
}
@InCollection{Chan:1997:MDD,
author = "Tony F. Chan and Susie Go and Jun Zou",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Multilevel domain decomposition and multigrid methods
for unstructured meshes: algorithms and theory",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "159--176",
year = "1997",
MRclass = "65N55",
MRnumber = "1943458",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Chang:1997:CPS,
author = "Dawei Chang",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "On convergence of the parallel {Schwarz} algorithm
with pseudo-boundary and the parallel multisplitting
iterative method",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "251--258",
year = "1997",
MRclass = "65F10 (65N22 65N55)",
MRnumber = "1943467",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Chen:1997:DDM,
author = "Zhangxin Chen and Richard E. Ewing",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Domain decomposition methods and multilevel
preconditioners for nonconforming and mixed methods for
partial differential problems",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "213--220",
year = "1997",
MRclass = "65N30 (65N55)",
MRnumber = "1943462",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Chen:1997:SSB,
author = "Ke Chen",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Solution of singular boundary element equations based
on domain splitting",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "43--50",
year = "1997",
MRclass = "65N38 (65N55)",
MRnumber = "1943445",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Chu:1997:DDA,
author = "Deling Chu and Xiancheng Hu",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Domain decomposition algorithms for a generalized
{Stokes} problem",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "461--467",
year = "1997",
MRclass = "65N55",
MRnumber = "1943486",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Deng:1997:TCA,
author = "Qingping Deng",
title = "Timely Communication: An Analysis for a Nonoverlapping
Domain Decomposition Iterative Procedure",
journal = j-SIAM-J-SCI-COMP,
volume = "18",
number = "5",
pages = "1517--1525",
month = sep,
year = "1997",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/S1064827595286797",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55",
MRnumber = "98d:65157",
bibdate = "Fri Dec 4 14:47:53 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/18/5;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/28679",
acknowledgement = ack-nhfb,
}
@Article{DiasDAlmeida:1997:PNL,
author = "F. {Dias D'Almeida} and P. B. Vasconcelos",
title = "Preconditioners for Nonsymmetric Linear Systems in
Domain Decomposition Applied to a Coupled
Discretization of {Navier--Stokes} Equations",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1215",
pages = "295--??",
year = "1997",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Fri Aug 22 11:59:49 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1997:ADD,
author = "J. {Douglas, Jr.} and C.-S. Huang",
title = "An accelerated domain decomposition procedure based on
{Robin} transmission conditions",
journal = j-BIT-NUM-MATH,
volume = "37",
number = "3",
pages = "678--686",
month = sep,
year = "1997",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65N55 (65F35)",
MRnumber = "1 483 680",
bibdate = "Fri Nov 13 07:00:34 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
note = "Direct methods, linear algebra in optimization,
iterative methods (Toulouse, 1995/1996).",
URL = "http://www.mai.liu.se/BIT/contents/bit37.html",
acknowledgement = ack-nhfb,
}
@Article{Dryja:1997:NDD,
author = "M. Dryja and W. Hackbusch",
title = "On the nonlinear domain decomposition method",
journal = j-BIT-NUM-MATH,
volume = "37",
number = "2",
pages = "296--311",
month = jun,
year = "1997",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65H10 (65N55)",
MRnumber = "97m:65100",
bibdate = "Fri Nov 13 07:00:34 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.mai.liu.se/BIT/contents/bit37.html",
acknowledgement = ack-nhfb,
}
@InCollection{Eikemo:1997:DDM,
author = "Merete S. Eikemo and Magne S. Espedal",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Domain decomposition methods for a three dimensional
extrusion model",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "469--476",
year = "1997",
MRclass = "65M55 (76M25)",
MRnumber = "1943487",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Ersland:1997:DDM,
author = "Brit Gunn Ersland and Magne S. Espedal",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "A domain decomposition method for heterogeneous
reservoir flow",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "477--484",
year = "1997",
MRclass = "65M55 (76M25 76S05)",
MRnumber = "1943488",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Fornasari:1997:DDT,
author = "N. Fornasari and G. Gazzaniga and S. Rovida and G.
Sacchi",
title = "Domain Decomposition Techniques: Analysis of a
Parallel Implementation on {HP-Convex} Exemplar
Systems",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1225",
pages = "1000--??",
year = "1997",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Fri Aug 22 11:59:49 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib",
acknowledgement = ack-nhfb,
}
@Article{Garbey:1997:HDD,
author = "Marc Garbey and Hans G. Kaper",
title = "Heterogeneous Domain Decomposition for Singularly
Perturbed Elliptic Boundary Value Problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "34",
number = "4",
pages = "1513--1544",
month = aug,
year = "1997",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N55 (35B25 35J99)",
MRnumber = "98d:65158",
MRreviewer = "Zheng Hui Xie",
bibdate = "Fri Dec 4 13:36:09 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/34/4;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/28558",
acknowledgement = ack-nhfb,
}
@Article{Germain:1997:HCS,
author = "C. Germain and J. Laminie and M. Pallud and D.
Etiemble",
title = "An {HPF} Case Study of a Domain-Decomposition Based
Irregular Application",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1277",
pages = "201--??",
year = "1997",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Tue Dec 03 16:57:34 2002",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Gu:1997:ECR,
author = "Tongxiang Gu",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Estimates of convergence rate of parallel
multisplitting iterative methods with their
applications",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "259--266",
year = "1997",
MRclass = "65F10 (65N22 65N55)",
MRnumber = "1943468",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Gu:1997:SRD,
author = "Jinsheng Gu and Xiancheng Hu",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Some recent developments in domain decomposition
methods with nonconforming finite elements",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "51--56",
year = "1997",
MRclass = "65N55 (65N30)",
MRnumber = "1943446",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Haase:1997:HEO,
author = "G. Haase",
title = "Hierarchical extension operators plus smoothing in
domain decomposition preconditioners",
journal = j-APPL-NUM-MATH,
volume = "23",
number = "3",
pages = "327--346",
day = "25",
month = apr,
year = "1997",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55 (65K10)",
MRnumber = "1 445 128",
bibdate = "Wed Jul 28 14:36:44 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1997&volume=23&issue=3;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.elsevier.com/cas/tree/store/apnum/sub/1997/23/3/752.pdf",
acknowledgement = ack-nhfb,
}
@Article{Haase:1997:NMV,
author = "G. Haase",
title = "New Matrix-by-Vector Multiplications Based on a
Nonoverlapping Domain Decomposition Data Distribution",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1300",
pages = "726--??",
year = "1997",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Tue Apr 28 08:51:33 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1997b.bib",
acknowledgement = ack-nhfb,
}
@InCollection{He:1997:SDD,
author = "Qiming He and Lishan Kang",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "{Schwarz} domain decomposition method for
multidimensional and nonlinear evolution equations:
subdomains have overlaps",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "57--64",
year = "1997",
MRclass = "65M55",
MRnumber = "1943447",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Heckler:1997:PM,
author = "Christian Heckler and Oliver Kluge and Torsten Metzner
and Andreas Sorgatz and Paul Zimmermann",
title = "Parallelism in {MuPAD}",
journal = j-SIGSAM,
volume = "31",
number = "3",
pages = "48--48",
month = sep,
year = "1997",
CODEN = "SIGSBZ",
DOI = "https://doi.org/10.1145/271130.271201",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
bibdate = "Fri Feb 8 18:27:05 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/mupad.bib",
note = "Poster abstract only.",
abstract = "SINGULAR is a computer algebra system designed to be a
power-house for polynomial computations with special
features for algebraic geometry and singularity
theory.The development of SINGULAR started in 1986,
motivated by the question of the existence of complete
intersection singularities which are not
quasi-homogeneous, but whose Poincare-complex is exact.
The existence of such singularities could be shown in
1987 with an implementation of Mora's algorithm on an
Atari in Modula-2 [11]. In 1990, SINGULAR was ported to
Unix, and a first public-domain distribution followed.
The code of SINGULAR was rewritten in C/C++. An
interpreted user-level programming language and
user-written libraries were added in 1993. With the
release of version 1.0 in May 1997, many important
features were added, including: (*) Polynomial
factorization (*) Factorizing Buchberger algorithm (*)
FGLM algorithm (*) Primary decomposition of ideals (*)
MP links for general and efficient storage and
inter-process communications. The goal of the poster is
to discuss and demonstrate these new features of
SINGULAR where, in combination with the posters on MP
and MuPAD, special emphasize will be paid to SINGULAR's
MP interface and its resulting possibilities and
problems.",
acknowledgement = ack-nhfb,
issue = "122",
}
@Article{Heise:1997:PSN,
author = "Bodo Heise and Michael Jung",
title = "Parallel solvers for nonlinear elliptic problems based
on domain decomposition ideas",
journal = j-PARALLEL-COMPUTING,
volume = "22",
number = "11",
pages = "1527--1544",
day = "26",
month = jan,
year = "1997",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Fri Aug 6 10:14:43 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1997&volume=22&issue=11;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1997&volume=22&issue=11&aid=1106",
acknowledgement = ack-nhfb,
affiliation = "Johannes Kepler Univ Linz",
classification = "701.1; 701.2; 722.4; 723; 921.2; 921.6; B0290H
(Linear algebra); B0290P (Differential equations);
B0290T (Finite element analysis); C4140 (Linear
algebra); C4170 (Differential equations); C4185 (Finite
element analysis); C4240P (Parallel programming and
algorithm theory); C4260 (Computational geometry)",
corpsource = "Inst. f{\"u}r Math., Johannes Kepler Univ., Linz,
Austria",
journalabr = "Parallel Comput",
keywords = "Boundary value problems; boundary value problems;
boundary-value problems; Computer architecture;
conjugate gradient methods; data structure; Data
structures; decomposition; domain; Domain decomposition
preconditioners; electromagnetic; Electromagnetic field
effects; field problems; Finite element (fe)
discretizations; finite element discretizations; Finite
element method; generation; Global multigrid methods
(gmg); Magnetic domains; mesh; Multiple instruction
multiple data (mimd) architecture; nested; Nested
Newton algorithm; Newton solver; Nonlinear elliptic
problems; nonlinear elliptic problems; Nonlinear
equations; Parallel algorithms; parallel algorithms;
Parallel conjugate gradient methods; parallel conjugate
gradient methods; Parallel processing systems; parallel
solvers; Partial differential equations; Problem
solving",
treatment = "A Application; P Practical",
}
@Article{Hesthaven:1997:SPM,
author = "J. S. Hesthaven",
title = "A stable penalty method for the compressible
{Navier--Stokes} equations. {II}. {One-dimensional}
domain decomposition schemes",
journal = j-SIAM-J-SCI-COMP,
volume = "18",
number = "3",
pages = "658--685",
month = may,
year = "1997",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/S1064827594276540",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65Mxx (76Mxx 76N10); 65M12 (76M25 76N10)",
MRnumber = "1 443 637; 97m:65155",
bibdate = "Fri Dec 4 14:47:53 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/18/3;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/27654",
acknowledgement = ack-nhfb,
}
@Article{Hodgson:1997:DDP,
author = "D. C. Hodgson and P. K. Jimack",
title = "A domain decomposition preconditioner for a parallel
finite element solver on distributed unstructured
grids",
journal = j-PARALLEL-COMPUTING,
volume = "23",
number = "8",
pages = "1157--1181",
day = "25",
month = jul,
year = "1997",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
bibdate = "Fri Aug 6 10:15:31 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1997&volume=23&issue=8;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1997&volume=23&issue=8&aid=1205",
acknowledgement = ack-nhfb,
affiliation = "Univ of Leeds",
affiliationaddress = "Leeds, UK",
classification = "722.1; 722.4; 723; 921.1; 921.2; 921.6",
journalabr = "Parallel Comput",
keywords = "Data storage equipment; Distributed unstructured
grids; Domain decomposition preconditioner; Finite
element method; Linear algebra; Parallel algorithms;
Parallel processing systems; Partial differential
equations; Problem solving",
}
@InCollection{Huang:1997:CIM,
author = "Jianguo Huang",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Chaotic iterative methods by space decomposition and
subspace correction",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "65--72",
year = "1997",
MRclass = "65J10 (37N30 65P20)",
MRnumber = "1943448",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Jung:1997:PMG,
author = "M. Jung",
title = "On the parallelization of multi-grid methods using a
non-overlapping domain decomposition data structure",
journal = j-APPL-NUM-MATH,
volume = "23",
number = "1",
pages = "119--137",
day = "7",
month = mar,
year = "1997",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
MRclass = "65N55",
MRnumber = "97k:65283",
bibdate = "Wed Jul 28 14:36:40 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1997&volume=23&issue=1;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
note = "Multilevel methods (Oberwolfach, 1995).",
URL = "http://www.elsevier.com/cas/tree/store/apnum/sub/1997/23/1/746.pdf",
acknowledgement = ack-nhfb,
}
@InCollection{Kang:1997:CEM,
author = "Kab Seok Kang and Do Young Kwak",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Convergence estimates for multigrid algorithms with
{Kaczmarz} smoothing",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "227--232",
year = "1997",
MRclass = "65N22 (65N55)",
MRnumber = "1943464",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Karageorghis:1997:CSD,
author = "A. Karageorghis",
title = "Conforming Spectral Domain Decomposition Schemes",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1196",
pages = "220--??",
year = "1997",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
bibdate = "Fri Aug 22 11:59:49 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Kawarada:1997:VIN,
author = "H. Kawarada and H. Fujita and H. Kawahara",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Variational inequalities for {Navier--Stokes} flows
coupled with potential flow through porous media",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "403--410",
year = "1997",
MRclass = "76M25 (49J40 65K10 76S05)",
MRnumber = "1943480",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@InCollection{Kornhuber:1997:AMM,
author = "Ralf Kornhuber",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "Adaptive monotone multigrid methods for some
non-smooth optimization problems",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "177--191",
year = "1997",
MRclass = "65K10 (65N55)",
MRnumber = "1943459",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Kushner:1997:DDM,
author = "Harold J. Kushner",
title = "Domain Decomposition Methods for Large {Markov} Chain
Control Problems and Nonlinear Elliptic-Type
Equations",
journal = j-SIAM-J-SCI-COMP,
volume = "18",
number = "5",
pages = "1494--1516",
month = sep,
year = "1997",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/S1064827594274656",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65Nxx (65Kxx 93Exx)",
MRnumber = "1 465 669",
bibdate = "Fri Dec 4 14:47:53 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/18/5;
http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/27465",
acknowledgement = ack-nhfb,
}
@InCollection{Lai:1997:DDT,
author = "C.-H. Lai and A. M. Cuffe and K. A. Pericleous",
booktitle = "{Domain decomposition methods in sciences and
engineering (Beijing, 1995)}",
title = "A domain decomposition technique for viscous/inviscid
coupling",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "485--492",
year = "1997",
MRclass = "65M55 (76M25)",
MRnumber = "1943489",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
MathSciNet database"
