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AUTHOR = "Yves Achdou and Yvon Maday and Olof B. Widlund",
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Finite Element Method in Two Dimensions",
INSTITUTION = "Department of Computer Science, Courant Institute",
YEAR = 1996,
NOTE = "In preparation."
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OLDTAG = "achmadwid0",
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OLDTAG = "benbelg-maday0",
AUTHOR = "Ben Belgacem, Faker and Yvon Maday",
TITLE = "Adaption de la m\'{e}thode des \'{e}l\'{e}ments avec
joints au couplage spectral \'{e}l\'ments finis en
dimension 3. {E}tude de l'\'{e}rreur pour
l'\'{e}quation de {P}oisson",
YEAR = 1992,
MONTH = "April",
NOTE = "Tech. Rep. HI-72/7095",
INSTITUTION = "Electricit\'{e} de France"
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@TECHREPORT{Belgacem:1992:RPC,
OLDTAG = "benbelg",
AUTHOR = "Ben Belgacem, Faker",
TITLE = "Rel\`{e}vement Polyn\^{o}miaux sur un Cube",
INSTITUTION = "Electricit\'{e} de France",
YEAR = 1992,
NUMBER = "HI-72/7780"
}
@PHDTHESIS{Belgacem:1993:D3N,
OLDTAG = "benbelg_thesis",
AUTHOR = "Ben Belgacem, Faker",
TITLE = "Discretisations 3{D} Non Conformes pour la M\'{e}thode de
Decomposition de Domaine des {E}l\'{e}ment avec Joints:
Analyse Math\'{e}matique et Mise en {\OE}vre pour le
Probleme de {P}oisson",
SCHOOL = "Universit\'{e} {P}ierre et {M}arie Curie, {P}aris,
{F}rance",
YEAR = 1993,
MONTH = "January",
NOTE = "Tech. Rep. HI-72/93017, Electricit\'{e} de France"
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OLDTAG = "benbelg-maday2",
AUTHOR = "Ben Belgacem, Faker and Yvon Maday",
TITLE = "The Mortar Element Method for Three Dimensional
Finite Elements",
NOTE = "Unpublished paper based on Yvon Maday's talk at the
Seventh International Conference of Domain
Decomposition Methods in Scientific and Engineering
Computing, held at Penn State University, October
27-30, 1993",
YEAR = 1993
}
@TECHREPORT{Belgacem:1993:NSE,
OLDTAG = "benbelg-maday1",
AUTHOR = "Ben Belgacem, Faker and Yvon Maday",
TITLE = "Non-conforming Spectral Element Method for Second
Order Elliptic Problem in {3D}",
INSTITUTION = "Laboratoire d'Analyse Num\'{e}rique, Universit\'{e}
Pierre et Marie Curie -- Centre National de la
Recherche Scientifique",
YEAR = 1993,
NUMBER = "R93039"
}
@UNPUBLISHED{Belgacem:1994:MEM,
OLDTAG = "benbelg2",
AUTHOR = "Ben Belgacem, Faker",
TITLE = "The Mortar Element Method with {L}agrange Multipliers",
NOTE = "Universit\'{e} Paul Sabatier, % 118 route de Narbonne,
31062 Toulouse, France",
YEAR = 1994
}
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OLDTAG = "bernmada1",
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OLDTAG = "bermadpat",
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OLDTAG = "bernmada3",
AUTHOR = "Christine Bernardi and Yvon Maday",
TITLE = "Mesh adaptivity in finite elements by the mortar method",
INSTITUTION = "Laboratoire d'Analyse Num\'{e}rique, Universit\'{e}
Pierre et Marie Curie -- Centre National de la
Recherche Scientifique",
YEAR = 1995,
MONTH = "January",
NUMBER = "R94029"
}
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OLDTAG = "bjoe",
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PUBLISHER = "SIAM",
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NOTE = "Proceedings from the fourth international symposium
on domain decomposition, Moscow May 1990",
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Type, Designed for Massively Parallel Computers",
EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant
and Jeffrey S. Scroggs and Robert G. Voigt",
BOOKTITLE = "Fifth International Symposium on Domain Decomposition
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ADDRESS = "Philadelphia, PA",
PAGES = "362--375"
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OLDTAG = "bj-db-book",
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NOTE = "Proceedings from the Ninth International
Conference, June 1996, Bergen, Norway"
}
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OLDTAG = "brpa",
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Resulting from Mixed Approximations of Elliptic Problems",
INSTITUTION = "Cornell University",
YEAR = 1987
}
@ARTICLE{Bramble:1988:CPE,
OLDTAG = "4bps",
AUTHOR = "James H. Bramble and Joseph E. Pasciak and Alfred
H. Schatz",
TITLE = "The construction of preconditioners for elliptic
problems by substructuring, {III}",
JOURNAL = "Math. Comp.",
YEAR = "1988 ",
VOLUME = "51 ",
PAGES = "415--430"
}
@ARTICLE{Bramble:1988:PTE,
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TITLE = "The construction of preconditioners for elliptic
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YEAR = "1989 ",
VOLUME = "53 ",
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OLDTAG = "bepp",
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",
YEAR = 1990,
INSTITUTION = "Cornell University"
}
@ARTICLE{Bramble:1990:PMP,
OLDTAG = "bpx",
AUTHOR = "James H. Bramble and Joseph E. Pasciak
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TITLE = "Parallel Multilevel Preconditioners",
JOURNAL = "Math. Comp.",
VOLUME = 55,
PAGES = "1--22",
YEAR = 1990
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OLDTAG = "bpwx2",
AUTHOR = "James H. Bramble and Joseph E. Pasciak and Junping Wang
and Jinchao Xu",
TITLE = "Convergence Estimates for Multigrid Algorithms without
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JOURNAL = "Math. Comp.",
VOLUME = 57,
NUMBER = 195,
PAGES = "23--45",
YEAR = 1991
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@ARTICLE{Bramble:1991:CEP,
OLDTAG = "bpwx",
AUTHOR = "James H. Bramble and Joseph E. Pasciak and Junping Wang
and Jinchao Xu",
TITLE = "Convergence Estimates for Product Iterative Methods with
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NUMBER = 195,
PAGES = "1--21",
YEAR = 1991
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AUTHOR = "Xiao-Chuan Cai",
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Nonselfadjoint Elliptic Equations",
BOOKTITLE = "Third International Symposium on Domain Decomposition
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EDITOR = "Tony Chan and Roland Glowinski and
Jacques P{\'e}riaux and Olof Widlund",
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OLDTAG = "3cai",
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AUTHOR = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes",
TITLE = "A Comparison of Some Domain Decomposition Algorithms for
Nonsymmetric Elliptic Problems",
EDITOR = "David E. Keyes and Tony F. Chan 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",
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ADDRESS = "Philadelphia, PA",
PAGES = "224--235"
}
@ARTICLE{Cai:1992:CRE,
OLDTAG = "2cagrke",
AUTHOR = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes",
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PAGES = "153--169",
JOURNAL = "Numer. Math.",
VOLUME = 61
}
@ARTICLE{Cai:1992:DAI,
OLDTAG = "1caiwid",
AUTHOR = "Xiao-Chuan Cai and Olof Widlund",
TITLE = "Domain Decomposition Algorithms for Indefinite
Elliptic Problems",
JOURNAL = "SIAM J. Sci. Statist. Comput.",
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OLDTAG = "caixu",
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OLDTAG = "2caiwid",
AUTHOR = "Xiao-Chuan Cai and Olof Widlund",
TITLE = "Multiplicative {S}chwarz Algorithms for Some Nonsymmetric
and Indefinite Problems",
JOURNAL = "SIAM J. Numer. Anal.",
NUMBER = 4,
MONTH = "August",
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VOLUME = 30,
PAGES = "936--952"
}
@TECHREPORT{Cai:1993:ODA,
OLDTAG = "caisaad",
AUTHOR = "Xiao-Chuan Cai and Youcef Saad",
TITLE = "Overlapping domain decomposition algorithms for
general sparse matrices",
INSTITUTION = "Army High Performance Computing
Research Center, University of Minnesota",
YEAR = 1993,
NUMBER = "Preprint 93-027",
NOTE = "SIAM J. Sci. Comp. (submitted)"
}
@ARTICLE{Cai:1993:OTO,
OLDTAG = "4cai",
AUTHOR = "Xiao-Chuan Cai",
TITLE = "An Optimal Two-level Overlapping Domain Decomposition
Method for Elliptic Problems in Two and Three Dimensions",
JOURNAL = "SIAM J. Sci. Comp.",
VOLUME = 14,
MONTH = "January",
YEAR = 1993,
PAGES = "239--247"
}
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OLDTAG = "3cagrke",
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
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YEAR = 1994
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OLDTAG = "6cai",
AUTHOR = "X.-C. Cai",
TITLE = "A family of overlapping {S}chwarz algorithms for
nonsymmetric and indefinite elliptic problems",
BOOKTITLE = "Domain-Based Parallelism and Problem Decomposition
Methods in Computational Science and Engineering",
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PUBLISHER = "SIAM",
NOTE = "To appear."
}
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OLDTAG = "7cai",
AUTHOR = "Xiao-Chuan Cai",
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VOLUME = 15,
NUMBER = 3,
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OLDTAG = "cgkt",
AUTHOR = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes
and M. D. Tidriri",
TITLE = "Newton-{K}rylov-{S}chwarz Methods in {CFD}",
EDITOR = "R. Rannacher",
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Navier-Stokes Equations, Notes in Numerical Fluid Mechanics",
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YEAR = 1994,
NOTE = "To appear."
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OLDTAG = "5cai",
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OLDTAG = "canmontp",
AUTHOR = "Claudio Canuto",
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OLDTAG = "2casa",
AUTHOR = "Mario A. Casarin",
TITLE = "Diagonal Edge Preconditioners in p-Version
and Spectral Element Methods",
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NUMBER = 704,
MONTH = "September",
NOTE = "To appear in SIAM J. Sci. Comp."
}
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OLDTAG = "1casa",
AUTHOR = "Mario A. Casarin",
TITLE = "Quasi-Optimal {S}chwarz Methods for the Conforming
Spectral Element Discretization",
YEAR = 1995,
BOOKTITLE = "Proceedings of the 1995 Copper Mountain Conference
on Multigrid Methods",
EDITOR = "N. Duane Melson and Thomas A. Manteuffel and
Steve F. McCormick",
PUBLISHER = "NASA",
ADDRESS = "Hampton VA"
}
@TECHREPORT{Casarin:1995:QSMb,
OLDTAG = "3casa",
AUTHOR = "Mario A. Casarin",
TITLE = "Quasi-Optimal {S}chwarz Methods for the Conforming
Spectral Element Discretization",
INSTITUTION = "Department of Computer Science, Courant Institute",
YEAR = 1995,
NUMBER = 705,
MONTH = "September",
NOTE = "To appear in SIAM J. Numer. Anal."
}
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OLDTAG = "1casa_wid",
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OLDTAG = "4casa",
AUTHOR = "Mario A. Casarin",
TITLE = "Schwarz Preconditioners for Spectral and Mortar
Finite Element Methods with Applications to
Incompressible Fluids",
SCHOOL = "Courant Institute of Mathematical Sciences",
YEAR = 1996,
MONTH = "March",
NOTE = "Tech. Rep. 717, Department of Computer Science,
Courant Institute"
}
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AUTHOR = "L. Champaney and J.-Y. Cognard and D. Dureisseix and
P. Ladev{\`e}ze",
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AUTHOR = "L. Champaney and J.-Y. Cognard and D. Dureisseix and
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TITLE = "Numerical experimentations of parallel strategies in
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EDITOR = "J. Dongarra and M. Gengler and B. Tourancheau and
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MONTH = "September"
}
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AUTHOR = "L. Champaney and J.-Y. Cognard and D. Dureisseix and
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TITLE = "Numerical experimentations of parallel strategies in
structural non-linear analysis",
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OLDTAG = "2tch",
AUTHOR = "Tony F. Chan and Diana C. Resasco",
TITLE = "A domain-decomposed fast {P}oisson solver on a rectangle",
INSTITUTION = "Yale University",
YEAR = 1985,
NUMBER = "{/DCS/RR-409}"
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@TECHREPORT{Chan:1985:SPD,
OLDTAG = "3tch",
AUTHOR = "Tony F. Chan and Diana C. Resasco",
TITLE = "A survey of preconditioners for domain decomposition",
INSTITUTION = "Yale University",
YEAR = 1985,
NUMBER = "{/DCS/RR-414}"
}
@INPROCEEDINGS{Chan:1987:ADP,
OLDTAG = "5tch",
AUTHOR = "Tony F. Chan and Diana C. Resasco",
TITLE = "Analysis of Domain Decomposition Preconditioners
on Irregular Regions",
BOOKTITLE = "Advances in Computer Methods for
Partial Differential Equations",
PUBLISHER = "IMACS",
EDITOR = "R. Vichnevetsky and R. Stepleman",
YEAR = 1987,
PAGES = "317--322"
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@ARTICLE{Chan:1987:APD,
OLDTAG = "1tch",
AUTHOR = "Tony F. Chan",
TITLE = "Analysis of preconditioners for domain decomposition",
JOURNAL = "SIAM J. Numer. Anal.",
YEAR = 1987,
VOLUME = 24,
NUMBER = 2,
PAGES = "382--390"
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@TECHREPORT{Chan:1988:ADP,
OLDTAG = "4tch",
AUTHOR = "Tony F. Chan and Diana C. Resasco",
TITLE = "An analysis of domain decomposition preconditioners
on L-shaped and C-shaped regions",
INSTITUTION = "Yale University",
YEAR = 1988,
NUMBER = "{/DCS/RR-534}"
}
@PROCEEDINGS{Chan:1989:DDM,
OLDTAG = "dom2",
TITLE = "Domain Decomposition Methods",
EDITOR = "Tony Chan and Roland Glowinski and
Jacques P{\'e}riaux and Olof Widlund",
YEAR = 1989,
NOTE = "Proceedings of the {S}econd {I}nternational
{S}ymposium on {D}omain {D}ecomposition {M}ethods,
{L}os {A}ngeles, {C}alifornia, January 14 - 16, 1988.",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@INPROCEEDINGS{Chan:1990:IPD,
OLDTAG = "7tch",
AUTHOR = "Tony F. Chan and David F. Keyes",
TITLE = "Interface Preconditioning for Domain-Decomposed
Convection-Diffusion Operators",
YEAR = 1990,
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",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "245--262"
}
@PROCEEDINGS{Chan:1990:TIS,
OLDTAG = "dom3",
TITLE = "Third International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Tony Chan and Roland Glowinski and
Jacques P{\'e}riaux and Olof Widlund",
YEAR = 1990,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@INPROCEEDINGS{Chan:1991:APT,
OLDTAG = "1chma",
AUTHOR = "Tony F. Chan and Tarek P. Mathew",
TITLE = "An Application of the Probing Technique to the
Vertex Space Method in Domain Decomposition",
YEAR = 1991,
BOOKTITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant and Jacques P{\'e}riaux and
Olof Widlund",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "101--111"
}
@ARTICLE{Chan:1991:EDI,
OLDTAG = "8tch",
AUTHOR = "Tony F. Chan and Thomas Y. Hou",
TITLE = "Eigendecomposition of Domain Decomposition Interface
Operators for Constant Coefficient Elliptic Problems",
JOURNAL = "SIAM J. Sci. Stat. Comput.",
VOLUME = 12,
YEAR = 1991,
PAGES = "1471--1479"
}
@ARTICLE{Chan:1991:GRC,
OLDTAG = "chholii",
AUTHOR = "Tony Chan and Thomas Hou and P. L. Lions",
TITLE = "Geometry Related Convergence Results for
Domain Decomposition Algorithms",
JOURNAL = "SIAM J. Numer. Anal.",
VOLUME = 28,
YEAR = 1991,
PAGES = "378--391"
}
@ARTICLE{Chan:1992:IPT,
OLDTAG = "4chma",
AUTHOR = "Tony F. Chan and Tarek P. Mathew",
TITLE = "The Interface Probing Technique in Domain Decomposition",
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YEAR = 1992,
VOLUME = 13,
PAGES = "212--238",
JOURNAL = "SIAM J. on Matrix Analysis and Applications"
}
@ARTICLE{Chan:1992:RON,
OLDTAG = "6tch",
AUTHOR = "Tony F. Chan and Danny Goovaerts",
TITLE = "On the Relationship Between Overlapping and
Nonoverlapping Domain Decomposition Methods",
YEAR = 1992,
JOURNAL = "SIAM J. Matrix Anal. Appl.",
VOLUME = 13,
PAGES = "663-670"
}
@ARTICLE{Chan:1994:ASD,
OLDTAG = "1chan_zou",
AUTHOR = "Tony F. Chan and Jun Zou",
TITLE = "Additive {S}chwarz Domain Decomposition Methods for Elliptic
Problems on Unstructured Meshes",
JOURNAL = "Numer. Algorithms",
VOLUME = 8,
NUMBER = "2--4",
YEAR = 1994,
PAGES = "329--346"
}
@INCOLLECTION{Chan:1994:DOA,
OLDTAG = "4chma",
AUTHOR = "Tony F. Chan and Tarek P. Mathew",
TITLE = "Domain Decomposition Algorithms",
PAGES = "61--143",
BOOKTITLE = "Acta Numerica 1994",
PUBLISHER = "Cambridge University Press",
YEAR = 1994
}
@INPROCEEDINGS{Chan:1994:DPC,
OLDTAG = "chma-dd6",
AUTHOR = "Tony F. Chan and Tarek P. Mathew",
TITLE = "Domain Decomposition Preconditioners for
Convection Diffusion Problems",
YEAR = 1994,
pages = "157--175",
BOOKTITLE = "Domain Decomposition Methods in Science and Engineering",
EDITOR = "Alfio Quarteroni and Jacques P{\'e}riaux and
Yuri A. Kuznetsov and Olof Widlund",
PUBLISHER = "AMS",
ADDRESS = "Providence, RI"
}
@ARTICLE{Chan:1994:EVV,
OLDTAG = "3chma",
AUTHOR = "Tony F. Chan and Tarek P. Mathew and Jian-Ping Shao",
TITLE = "Efficient Variants of the Vertex Space Domain Decomposition
Algorithm",
YEAR = 1994,
JOURNAL = "SIAM J. Sci. Comput.",
NUMBER = 6,
VOLUME = 15
}
@ARTICLE{Chan:1994:OCG,
OLDTAG = "9tch",
AUTHOR = "Tony F. Chan and Jian-Ping Shao",
TITLE = "Optimal Coarse Grid Size in Domain Decomposition",
YEAR = 1994,
JOURNAL = "J. Comp. Math.",
VOLUME = "To appear"
}
@ARTICLE{Chan:1994:PCD,
OLDTAG = "10tch",
AUTHOR = "Tony F. Chan",
TITLE = "Parallel Complexity of Domain Decomposition Methods
and Optimal Coarse Grid Sizes",
YEAR = 1994,
JOURNAL = "Parallel Computing",
VOLUME = "To appear"
}
@INPROCEEDINGS{Chan:1995:MDU,
OLDTAG = "cs",
AUTHOR = "Tony F. Chan and Barry F. Smith",
TITLE = "Multigrid and Domain Decomposition on Unstructured Grids",
YEAR = 1995,
BOOKTITLE = "Seventh International Conference of Domain Decomposition
Methods in Scientific and Engineering Computing",
EDITOR = "David F. Keyes and and Jinchao Xu",
PUBLISHER = "AMS",
ADDRESS = "Providence, RI",
NOTE = "Has also appeared in ETNA."
}
@ARTICLE{Chan:1996:OSM,
OLDTAG = "csz",
AUTHOR = "Tony F. Chan and Barry F. Smith and Jun Zou",
TITLE = "Overlapping {S}chwarz Methods
on Unstructured Meshes using Non-matching Coarse Grids",
YEAR = 1996,
JOURNAL = "Numer. Math.",
VOLUME = 73,
NUMBER = 2,
PAGES = "149--167"
}
@PHDTHESIS{Cheng:1993:ISE,
OLDTAG = "1cheng",
AUTHOR = "Hsuanjen Cheng",
TITLE = "Iterative Solution of Elliptic Finite Element Problems on
Partially Refined Meshes and the Effect of Using
Inexact Solvers",
SCHOOL = "Courant Institute of Mathematical Sciences",
YEAR = 1993,
MONTH = "October",
NOTE = "Tech. Rep. 649, Department of Computer Science,
Courant Institute"
}
@TECHREPORT{Cheng:1994:MSM,
OLDTAG = "2cheng",
AUTHOR = "Hsuanjen Cheng",
TITLE = "Multilevel {S}chwarz Methods with Partial Refinement",
INSTITUTION = "Department of Computer Science, Courant Institute",
NUMBER = 654,
MONTH = "February",
YEAR = 1994
}
@BOOK{Ciarlet:1978:FEM,
OLDTAG = "ciar",
AUTHOR = "Philippe G. Ciarlet",
TITLE = "The Finite Element Method for Elliptic Problems",
PUBLISHER = "North-Holland",
YEAR = 1978,
ADDRESS = "Amsterdam"
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AUTHOR = "J.-Y. Cognard and D. Dureisseix and P. Ladev{\`e}ze and
Ph. Lorong",
TITLE = "Une approche multi-{\'e}chelles en calcul des
structures pour ordinateur {\`a} architecture
parall{\`e}le",
BOOKTITLE = "Actes du 12{\`e}me Congr{\`e}s Fran\c{c}ais de
M{\'e}canique",
YEAR = 1995,
PAGES = "101--104",
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BOOKTITLE = "Sparse Matrix Computations",
YEAR = 1976,
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@ARTICLE{Cottle:1974:MSC,
OLDTAG = "cottle",
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OLDTAG = "1cowwhe",
AUTHOR = "Lawrence C. Cowsar and Mary F. Wheeler",
TITLE = "Parallel Domain Decomposition Method for Mixed
Finite Elements for Elliptic Partial Differential
Equations",
BOOKTITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant and Jacques P{\'e}riaux and
Olof Widlund",
YEAR = 1991,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@INPROCEEDINGS{Cowsar:1992:PMD,
OLDTAG = "1cowweiswhe",
AUTHOR = "Lawrence C. Cowsar and Alan Weiser and Mary F. Wheeler",
TITLE = "Parallel Multigrid and Domain Decomposition Algorithms
for Elliptic Equations",
BOOKTITLE = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant
and Jeffrey S. Scroggs and Robert G. Voigt",
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PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "376--385"
}
@TECHREPORT{Cowsar:1993:DVS,
OLDTAG = "1cow",
AUTHOR = "Lawrence C. Cowsar",
TITLE = "Dual Variable {S}chwarz Methods for Mixed Finite Elements",
INSTITUTION = "Department of Mathematical Sciences, Rice University",
YEAR = 1993,
MONTH = "March",
NUMBER = "TR93-09"
}
@ARTICLE{Cowsar:1995:BDM,
OLDTAG = "1cowmawh",
AUTHOR = "Lawrence C. Cowsar and Jan Mandel and Mary F. Wheeler",
TITLE = "Balancing Domain Decomposition for Mixed Finite Elements",
JOURNAL = "Math. Comp.",
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VOLUME = 64,
NUMBER = 211,
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}
@ARTICLE{Crane:1976:A5M,
OLDTAG = "crane1",
AUTHOR = "H. L. Crane Jr. and Norman E. Gibbs and William G. Poole Jr.
and Paul K. Stockmeyer",
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KEY = "Bandwith reduction, diameter of a graph. profile
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OLDTAG = "dadu",
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TITLE = "A Domain Decomposition Method for Parabolic
Equations Based on Finite Elements",
BOOKTITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant
and Jacques P{\'e}riaux and
Olof Widlund",
YEAR = 1991,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@ARTICLE{Deville:1990:FEP,
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OLDTAG = "digp",
AUTHOR = "Q.V. Dihn and Roland Glowinski and Jacques P{\'e}riaux",
TITLE = "Solving elliptic problems by domain decomposition
methods with applications",
BOOKTITLE = "Elliptic Problem Solvers {II}",
YEAR = 1984,
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@PHDTHESIS{Donato:1991:IMS,
OLDTAG = "1dona",
AUTHOR = "June M. Donato",
TITLE = "Iterative Methods for Scalar and Coupled Systems
of Elliptic Equations",
SCHOOL = "Department of Mathematics, UCLA",
YEAR = 1991,
MONTH = "September",
NOTE = "CAM 91-20"
}
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OLDTAG = "0dry",
AUTHOR = "Maksymilian Dryja",
TITLE = "An Algorithm with a Capacitance Matrix
for a Variational-Difference Scheme",
BOOKTITLE = "{V}ariational-{D}ifference {M}ethods
in {M}athematical {P}hysics",
YEAR = 1981,
PAGES = "63--73",
EDITOR = "G. I. Marchuk",
PUBLISHER = "USSR {A}cademy of {S}ciences",
ADDRESS = "Novosibirsk"
}
@ARTICLE{Dryja:1981:CMM,
OLDTAG = "3dry",
AUTHOR = "Maksymilian Dryja",
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JOURNAL = "Numer. Math.",
YEAR = 1982,
VOLUME = 39,
PAGES = "51--64"
}
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OLDTAG = "4dry",
AUTHOR = "Maksymilian Dryja",
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JOURNAL = "Numer. Math.",
YEAR = 1984,
VOLUME = 44,
PAGES = "153--168"
}
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AUTHOR = "Maksymilian Dryja and Wlodek Proskurowski and Olof Widlund",
TITLE = "A Method of Domain Decomposition with Crosspoints for
Elliptic Finite Element Problems",
BOOKTITLE = "Optimal Algorithms",
YEAR = 1986,
EDITOR = "Bl. Sendov",
PAGES = "97--111",
PUBLISHER = "Bulgarian Academy of Sciences",
ADDRESS = "Sofia, Bulgaria"
}
@TECHREPORT{Dryja:1987:AVS,
OLDTAG = "6wid",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "An Additive Variant of the {S}chwarz Alternating
Method for the Case of Many Subregions",
INSTITUTION = "Department of Computer Science, Courant Institute",
YEAR = 1987,
NUMBER = "339, also Ultracomputer Note 131"
}
@INPROCEEDINGS{Dryja:1988:MD3,
OLDTAG = "1dry",
AUTHOR = "Maksymilian Dryja",
TITLE = "A Method of Domain Decomposition for 3-{D} Finite
Element Problems",
BOOKTITLE = "{F}irst {I}nternational
{S}ymposium on {D}omain {D}ecomposition
{M}ethods for {P}artial {D}ifferential {E}quations",
YEAR = 1988,
EDITOR = "Roland Glowinski and Gene H. Golub and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "43--61"
}
@INPROCEEDINGS{Dryja:1989:ASA,
OLDTAG = "2dry",
AUTHOR = "Maksymilian Dryja",
TITLE = "An Additive {S}chwarz Algorithm for Two- and
Three-Dimensional Finite Element Elliptic Problems",
BOOKTITLE = "Domain Decomposition Methods",
YEAR = 1989,
EDITOR = "Tony Chan and Roland Glowinski and
Jacques P{\'e}riaux and Olof Widlund",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "168--172"
}
@INPROCEEDINGS{Dryja:1989:DAE,
OLDTAG = "10wid",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "Some Domain Decomposition Algorithms
for Elliptic Problems",
BOOKTITLE = "Iterative Methods for Large Linear Systems",
PUBLISHER = "Academic Press",
ADDRESS = "San Diego, California",
EDITOR = "Linda Hayes and David Kincaid",
PAGES = "273--291",
YEAR = 1989,
NOTE = "Proceeding of the Conference on Iterative Methods
for Large Linear Systems held in {A}ustin, Texas,
October 19 - 21, 1988, to celebrate the sixty-fifth
birthday of {D}avid {M}. {Y}oung, {J}r."
}
@INPROCEEDINGS{Dryja:1989:OAI,
OLDTAG = "11wid",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "On the Optimality of an Additive Iterative
Refinement Method",
BOOKTITLE = "Proceedings of the {F}ourth {C}opper {M}ountain
{C}onference on {M}ultigrid {M}ethods",
YEAR = 1989,
PAGES = "161--170",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@INPROCEEDINGS{Dryja:1990:TUT,
OLDTAG = "12wid",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "Towards a Unified Theory of Domain Decomposition Algorithms
for Elliptic Problems",
YEAR = 1990,
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",
PUBLISHER = "SIAM, Philadelphia, PA",
PAGES = "3--21"
}
@INPROCEEDINGS{Dryja:1991:MAM,
OLDTAG = "13wid",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "Multilevel Additive Methods for Elliptic Finite
Element Problems",
EDITOR = "Wolfgang Hackbusch",
BOOKTITLE = "Parallel Algorithms for Partial Differential
Equations, Proceedings of the Sixth GAMM-Seminar,
Kiel, January 19--21, 1990",
PAGES = "58--69",
PUBLISHER = "Vieweg \& Son",
ADDRESS = "Braunschweig, Germany",
YEAR = 1991
}
@INPROCEEDINGS{Dryja:1991:SMP,
OLDTAG = "5dry",
AUTHOR = "Maksymilian Dryja",
TITLE = "Substructuring Methods for Parabolic Problems",
YEAR = 1991,
BOOKTITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant and Jacques P{\'e}riaux and
Olof Widlund",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@INPROCEEDINGS{Dryja:1992:ASM,
OLDTAG = "6dry",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "Additive {S}chwarz Methods for Elliptic
Finite Element Problems in Three Dimensions",
BOOKTITLE = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant
and Jeffrey S. Scroggs and Robert G. Voigt",
YEAR = 1992,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "3--18"
}
@ARTICLE{Dryja:1994:DAS,
OLDTAG = "16wid",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "Domain Decomposition Algorithms with Small Overlap",
JOURNAL = "SIAM J. Sci.Comput.",
YEAR = 1994,
MONTH = "May",
VOLUME = 15,
PAGES = "604--620",
NUMBER = 3
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@INPROCEEDINGS{Dryja:1994:DMS,
OLDTAG = "17wid",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "Some Recent Results on {S}chwarz Type Domain Decomposition
Algorithms",
BOOKTITLE = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain
Decomposition",
NOTE = "Held in Como, Italy, June 15--19,1992",
VOLUME = 157,
EDITOR = "Alfio Quarteroni and Yuri A. Kuznetsov and Jacques
P{\'e}riaux and Olof B. Widlund",
YEAR = 1994,
SERIES = "Contemporary Mathematics",
PUBLISHER = "AMS",
PAGES = "53--62"
}
@INPROCEEDINGS{Dryja:1994:MME,
OLDTAG = "7dry",
AUTHOR = "Maksymilian Dryja",
TITLE = "Multilevel Methods for Elliptic Problems with Discontinuous
Coefficients in Three Dimensions",
BOOKTITLE = "Seventh International Conference of Domain Decomposition
Methods in Scientific and Engineering Computing",
EDITOR = "David E. Keyes and Jinchao Xu",
YEAR = 1994,
PUBLISHER = "AMS",
SERIES = "Contemporary Mathematics",
VOLUME = 180,
PAGES = "43--47",
NOTE = "Held at Penn State University, October 27-30, 1993."
}
@ARTICLE{Dryja:1994:SAI,
OLDTAG = "1dsw",
AUTHOR = "Maksymilian Dryja and Barry F. Smith and Olof B. Widlund",
TITLE = "Schwarz Analysis of Iterative Substructuring Algorithms
for Elliptic Problems in Three Dimensions",
MONTH = "December",
YEAR = 1994,
PAGES = "1662--1694",
VOLUME = 31,
NUMBER = 6,
JOURNAL = "SIAM J. Numer. Anal."
}
@ARTICLE{Dryja:1995:SMN,
OLDTAG = "14wid",
AUTHOR = "Maksymilian Dryja and Olof B. Widlund",
TITLE = "{S}chwarz Methods of {N}eumann-{N}eumann Type
for Three-Dimensional Elliptic Finite Element Problems",
YEAR = 1995,
MONTH = "February",
JOURNAL = "Comm. Pure Appl. Math.",
VOLUME = 48,
PAGES = "121--155",
NUMBER = 2
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OLDTAG = "8dry",
AUTHOR = "Maksymilian Dryja",
TITLE = "Additive {S}chwarz Methods for Elliptic Mortar Finite
Element Problems",
BOOKTITLE = "Modeling and Optimization of Distributed Parameter
Systems with Applications to Engineering",
EDITOR = "K. Malanowski and Z. Nahorski and M. Peszynska",
ORGANIZATION = "IFIP",
PUBLISHER = "Chapman \& Hall, London",
YEAR = 1996,
NOTE = "To appear"
}
@ARTICLE{Dryja:1996:MSM,
OLDTAG = "1drsawi",
AUTHOR = "Maksymilian Dryja and Marcus V. Sarkis and Olof B. Widlund",
TITLE = "Multilevel {S}chwarz Methods for Elliptic Problems
with Discontinuous Coefficients in Three Dimensions",
NUMBER = 3,
JOURNAL = "Numer. Math.",
VOLUME = 72,
PAGES = "313--348",
YEAR = 1996
}
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TITLE = "Parallel and multi-level strategies for structural
analysis",
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Numerical Methods in Engineering",
YEAR = 1996,
EDITOR = "J.-A. Desideri",
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ORGANIZATION = "ECCOMAS",
PUBLISHER = "Wiley",
ADDRESS = "Paris",
MONTH = "September"
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@PHDTHESIS{Dureisseix:1997:AME,
AUTHOR = "D. Dureisseix",
TITLE = "Une approche multi-{\'e}chelles pour des calculs de
structures sur ordinateurs {\`a} architecture
parall{\`e}le",
SCHOOL = "ENS de Cachan",
YEAR = 1997,
ADDRESS = "Cachan",
MONTH = "January"
}
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OLDTAG = "ev",
AUTHOR = "Victor Eijkhout and Panayot Vassilevski",
TITLE = "The Role of the Strengthened
{C}auchy-{B}uniakowskii-{S}chwarz Inequality in
Multilevel Methods",
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NUMBER = 3,
YEAR = 1991,
PAGES = "405--419"
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OLDTAG = "eielsc",
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TITLE = "Variational Iterative Methods for Nonsymmetric
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YEAR = 1983,
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NUMBER = 1
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OLDTAG = "ewlv",
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TITLE = "Local refinement techniques for elliptic problems on
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INSTITUTION = "University of Wyoming",
YEAR = 1988
}
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OLDTAG = "1ewi",
AUTHOR = "Richard E. Ewing",
TITLE = "Domain Decomposition Techniques for Efficient
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YEAR = 1989,
EDITOR = "Tony Chan and Roland Glowinski and
Jacques P{\'e}riaux and Olof Widlund",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
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OLDTAG = "1ewwa",
AUTHOR = "Richard E. Ewing and Junping Wang",
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NUMBER = 6,
YEAR = 1992,
PAGES = "739--756"
}
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OLDTAG = "1farhat",
AUTHOR = "Charbel Farhat and Fran\c{c}ois-Xavier Roux",
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OLDTAG = "2geor",
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OLDTAG = "girrav",
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OLDTAG = "glwh",
AUTHOR = "Roland Glowinski and Mary F. Wheeler",
TITLE = "Domain decomposition and mixed finite element
methods for elliptic problems",
INSTITUTION = "Rice University",
YEAR = 1987,
NUMBER = "87-11"
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@INPROCEEDINGS{Glowinski:1988:DMF,
OLDTAG = "glowhe",
AUTHOR = "Roland Glowinski and Mary F. Wheeler",
TITLE = "Domain Decomposition and Mixed Finite
Element Methods for Elliptic Problems",
BOOKTITLE = "First International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
YEAR = 1988,
EDITOR = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and
Jacques P{\'e}riaux",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@PROCEEDINGS{Glowinski:1988:DMP,
OLDTAG = "dom1",
TITLE = "Domain Decomposition Methods for
Partial Differential Equations",
EDITOR = "Roland Glowinski and Gene H. Golub
and G{\'e}rard A. Meurant and Jacques P{\'e}riaux",
YEAR = 1988,
NOTE = "Proceedings of the {F}irst {I}nternational
{S}ymposium on {D}omain {D}ecomposition
{M}ethods for {P}artial {D}ifferential {E}quations,
Paris, France, January 1987.",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@INPROCEEDINGS{Glowinski:1990:ADA,
OLDTAG = "glkiwh",
AUTHOR = "R. Glowinski and W. Kinton and M. F. Wheeler",
TITLE = "Acceleration of Domain Decomposition Algorithms for
Mixed Finite Elements by Multi-level Methods",
YEAR = 1990,
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",
PUBLISHER = "SIAM, Philadelphia, PA"
}
@PROCEEDINGS{Glowinski:1991:FIS,
OLDTAG = "dom4",
TITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant and Jacques P{\'e}riaux and
Olof Widlund",
YEAR = 1991,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
NOTE = "Held in Moscow, USSR, May 21--25, 1990."
}
@INPROCEEDINGS{Golub:1984:PIR,
OLDTAG = "gome",
AUTHOR = "Gene Golub and D. Mayers",
TITLE = "The Use of Preconditioning Over Irregular Regions",
BOOKTITLE = "Computing Methods in Applied Sciences and Engineering, VI",
YEAR = 1984,
EDITOR = "R. Glowinski and J. L. Lions",
PAGES = "3--14",
PUBLISHER = "North-Holland",
ADDRESS = "Amsterdam, New York, Oxford",
NOTE = "Proceedings of a conference held in Versailles,
France, December 12-16,1983."
}
@BOOK{Golub:1989:MAC,
OLDTAG = "govl",
AUTHOR = "Gene H. Golub and Charles F. Van Loan",
TITLE = "Matrix Computations",
PUBLISHER = "Johns Hopkins Univ. Press",
YEAR = 1989,
NOTE = "Second Edition."
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@BOOK{Goossens:1993:TLC,
UPDATE = "Yes",
AUTHOR = "Goossens, M., Mittelbach, F., Samarin, A.",
TITLE = "The LaTeX Companion",
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PUBLISHER = "Addison-Wesley",
ADDRESS = "Reading, Massachusetts"
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@ARTICLE{Greenbaum:1989:PPC,
OLDTAG = "gree",
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@TECHREPORT{Griebel:1993:RAT,
OLDTAG = "1go",
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OLDTAG = "5kegr",
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OLDTAG = "4kegr",
AUTHOR = "William D. Gropp and David E. Keyes",
TITLE = "Parallel Domain Decomposition
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BOOKTITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant and Jacques P{\'e}riaux and
Olof Widlund",
YEAR = 1991,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "373--381"
}
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OLDTAG = "1gropp",
AUTHOR = "William D. Gropp",
TITLE = "Parallel Computing and Domain Decomposition",
BOOKTITLE = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant
and Jeffrey S. Scroggs and Robert G. Voigt",
YEAR = 1992,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "349--361"
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OLDTAG = "1gs",
AUTHOR = "William D. Gropp and Barry F. Smith",
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INSTITUTION = "Christian-Albrecht-Universit\H{a}t, Kiel, Germany",
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OLDTAG = "hufe",
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Contact/Impact Problems",
BOOKTITLE = "First International Symposium on Domain
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Equations ",
YEAR = 1988,
EDITOR = "Roland Glowinski and Gene H. Golub and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux",
PUBLISHER = "SIAM",
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@PHDTHESIS{Hvidsten:1990:PFE,
OLDTAG = "hvid",
AUTHOR = "Anders Hvidsten",
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OLDTAG = "1kapkolyer",
AUTHOR = "I. E. Kaporin and L. Yu. Kolotilina and A. Yu. Yeremin",
TITLE = "Block {SSOR} preconditionings for high order {3D}
{FE} systems {II}: incomplete {BSSOR}
preconditionings",
YEAR = "XXXX",
INSTITUTION = "The {D}epartment of {N}umerical {M}athematics
and {C}ybernetics of the {M}oscow {S}tate {U}niversity,
{L}eninskije {G}ory, 119899, {M}oscow B-234, {USSR} and
the {L}eningrad {B}ranch of {V. A.} {S}teklov
{M}athematical {I}institute of the {USSR} {A}cademy of
{S}ciences, {F}ontanka 27, {L}eningrad 191011, {USSR}
and the {D}epartment of {N}umerical {M}athematics of
the {USSR} {A}cademy of {S}ciences, {R}yleev str. 29,
119034, {M}oscow, {USSR}"
}
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AUTHOR = "George Karypis and Vipin Kumar",
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Ordering System. Version 2.0",
INSTITUTION = "University of Minnesota, Department of Computer Science",
YEAR = 1995,
ADDRESS = "Minneapolis, MN 55455",
MONTH = "August"
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@ARTICLE{Keyes:1987:CDT,
OLDTAG = "kegr",
AUTHOR = "David E. Keyes and William D. Gropp",
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parallel implementation",
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VOLUME = 8,
NUMBER = 2,
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@ARTICLE{Keyes:1990:DTP,
OLDTAG = "2kegr",
AUTHOR = "David E. Keyes and William D. Gropp",
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VOLUME = 6,
YEAR = 1990,
PAGES = "281--301"
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@ARTICLE{Keyes:1992:DLM,
OLDTAG = "3kegr",
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OLDTAG = "dom5",
TITLE = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant
and Jeffrey S. Scroggs and Robert G. Voigt",
YEAR = 1992,
PUBLISHER = "SIAM",
NOTE = "Held in Norfolk, VA, May 6--8, 1991",
ADDRESS = "Philadelphia, PA"
}
@PROCEEDINGS{Keyes:1994:PSI,
OLDTAG = "dom7",
TITLE = "Domain Decomposition Methods in Science and
Engineering",
EDITOR = "David E. Keyes and Jinchao Xu",
YEAR = 1994,
SERIES = "Contemporary Mathematics",
PUBLISHER = "AMS",
VOLUME = 180,
ADDRESS = "Providence, R.I."
NOTE = "Proceedings of the Seventh International Conference on
Domain Decomposition, October 27-30, 1993, The
Pennsylvania State University"
}
@ARTICLE{Khoromskij:1992:SEP,
OLDTAG = "2wend",
AUTHOR = "B. N. Khoromskij and W. L. Wendland",
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Equations in Substructuring Techniques",
JOURNAL = "East-West J. Numer. Anal.",
VOLUME = 1,
YEAR = 1992,
PAGES = "1--27"
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@TECHREPORT{Klawonn:1994:OPC,
OLDTAG = "klaw1",
AUTHOR = "Axel Klawonn",
TITLE = "An optimal preconditioner for a class of saddle
point problems with a penalty term",
INSTITUTION = "Courant Institute of Mathematical Sciences,
New York University",
YEAR = 1994,
MONTH = "December",
NUMBER = 676
}
@TECHREPORT{Klawonn:1995:OPC,
OLDTAG = "klaw2",
AUTHOR = "Axel Klawonn",
TITLE = "An optimal preconditioner for a class of saddle
point problems with a penalty term, {P}art {II}:
General Theory",
YEAR = 1995,
MONTH = "April",
INSTITUTION = "Westf{\"{a}}lische Wilhelms-Universit{\"{a}}t
M{\"{u}}nster, Germany",
NUMBER = "14/95",
NOTE = "Also available as Technical Report 683 of the
Courant Institute of Mathematical Sciences, New York
University"
}
@PHDTHESIS{Klawonn:1996:PIP,
OLDTAG = "klaw3",
AUTHOR = "Axel Klawonn",
TITLE = "Preconditioners for Indefinite Problems",
YEAR = 1996,
MONTH = "February",
SCHOOL = "Westf{\"{a}}lische Wilhelms-Universit{\"{a}}t M{\"{u}}nster",
NOTE = "Technical Report 716, Department of Computer
Science, Courant Institute of Mathematical Sciences,
New York University"
}
@ARTICLE{Kolotilina:1989:BSP,
OLDTAG = "1kolyer",
AUTHOR = "L. Yu. Kolotilina and A. Yu. Yermin",
TITLE = "Block {SSOR} preconditionings for high
order {3D} {FE} systems",
JOURNAL = "BIT",
YEAR = 1989,
VOLUME = 29,
PAGES = "805--823"
}
@TECHREPORT{Kolotilina:XXXX:FSA,
OLDTAG = "2kolyer",
AUTHOR = "L. Yu. Kolotilina and A. Yu. Yermin",
TITLE = "Factorized sparse approximate inverse
preconditioners",
YEAR = "XXXX",
INSTITUTION = "The {L}eningrad {B}ranch of {V. A.} {S}teklov
{M}athematical {I}institute of the {USSR} {A}cademy of
{S}ciences, {F}ontanka 27, {L}eningrad 191011, {USSR}
and the {D}epartment of {N}umerical {M}athematics of
the {USSR} {A}cademy of {S}ciences, {R}yleev str. 29,
119034, {M}oscow, {USSR}"
}
@ARTICLE{Kuznetsov:1989:MDM,
OLDTAG = "1kuzn",
AUTHOR = "Yuri A. Kuznetsov",
TITLE = "Multilevel Domain Decomposition Methods",
JOURNAL = "Appl. Numer. Math.",
YEAR = 1989,
VOLUME = 5
}
@INPROCEEDINGS{Kuznetsov:1991:ODM,
OLDTAG = "2kuzn",
AUTHOR = "Yuri A. Kuznetsov",
TITLE = "Overlapping Domain Decomposition Methods for FE-Problems
with Elliptic Singular Perturbed Operators",
BOOKTITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant and Jacques P{\'e}riaux and
Olof Widlund",
YEAR = 1991,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@TECHREPORT{Kuznetsov:1993:NEN,
OLDTAG = "KuMaVa",
AUTHOR = "Yuri Kuznetsov and Petri Manninen and Yuri Vassilevski",
TITLE = "On numerical experiments with {N}eumann-{N}eumann and
{N}eumann-{D}irichlet domain decomposition preconditioners",
INSTITUTION = "University of Jyv{\"{a}}skyl{\"{a}}",
YEAR = 1993
}
@ARTICLE{Kuznetsov:1995:EIS,
OLDTAG = "kuznet1",
AUTHOR = "Yuri A.\ Kuznetsov",
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Nonmatching Grids",
JOURNAL = "Russ. J. Numer. Anal. Math. Modelling",
YEAR = 1995,
VOLUME = 10,
NUMBER = 3,
PAGES = "187--211"
}
@ARTICLE{Kuznetsov:1995:OOS,
OLDTAG = "kuznet_wheeler",
AUTHOR = "Yuri A.\ Kuznetsov and Mary F.\ Wheeler",
TITLE = "Optimal Order Substructuring Preconditioners for
Mixed Finite Element Methods on Nonmatching Grids",
JOURNAL = "East-West J. Numer. Math.",
YEAR = 1995,
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OLDTAG = "1letallec_sassi",
AUTHOR = "Le Tallec, Patrick and Taoufik Sassi",
JOURNAL = "Mathematics of Computation",
TITLE = "Domain Decomposition with Nonmatching Grids:
Augmented {L}agrangian Approach",
YEAR = 1993,
NOTE = "To appear."
}
@ARTICLE{LeTallec:1993:NDA,
OLDTAG = "2letallec",
AUTHOR = "Le Tallec, Patrick",
JOURNAL = "East-West J. Numer. Math.",
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solving 2{D} elliptic problems with nonmatching grids",
YEAR = 1993,
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VOLUME = 1,
NUMBER = 2
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@INCOLLECTION{LeTallec:1994:DMC,
OLDTAG = "1letallec",
AUTHOR = "Le Tallec, Patrick",
BOOKTITLE = "Computational Mechanics Advances",
TITLE = "Domain decomposition methods in computational mechanics",
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YEAR = 1994,
VOLUME = "1 (2)",
EDITOR = "Oden, J. Tinsley",
PAGES = "121--220"
}
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OLDTAG = "lebe",
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ADDRESS = "Moscow",
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@BOOK{Lions:1972:NBV,
OLDTAG = "1lima",
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OLDTAG = "3lion",
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OLDTAG = "lion",
TITLE = "On the {S}chwarz alternating method. {I.}",
AUTHOR = "Pierre-Louis Lions",
BOOKTITLE = "First International Symposium on Domain
Decomposition Methods for Partial Differential
Equations",
YEAR = 1988,
EDITOR = "Roland Glowinski and Gene H. Golub and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "1--42"
}
@INPROCEEDINGS{Lions:1989:SAM,
OLDTAG = "2lion",
AUTHOR = "Pierre Louis Lions",
TITLE = "On the {S}chwarz alternating method. {II.}",
BOOKTITLE = "Domain Decomposition Methods",
YEAR = 1989,
EDITOR = "Tony Chan and Roland Glowinski and Jacques
P{\'e}riaux and Olof Widlund",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "47--70"
}
@INPROCEEDINGS{Lions:1990:SAM,
OLDTAG = "4lion",
AUTHOR = "Pierre Louis Lions",
TITLE = "On the {S}chwarz alternating method. {III:}
A variant for nonoverlapping subdomains",
BOOKTITLE = "Third International Symposium on Domain
Decomposition Methods for Partial Differential Equations ,
held in Houston, Texas, March 20-22, 1989",
EDITOR = "Tony F. Chan and Roland Glowinski and
Jacques P{\'e}riaux and Olof Widlund",
YEAR = 1990,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
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OLDTAG = "1maday",
AUTHOR = "Yvon Maday",
TITLE = "Rel\`{e}vement de traces polynomiales et interpolations
hilbertiennes entre espaces de polyn\^{o}mes",
JOURNAL = "C. R. Acad. Sci. Paris",
VOLUME = "309, S\'{e}rie I",
PAGES = "463--468",
YEAR = 1989
}
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OLDTAG = "madpa",
AUTHOR = "Yvon Maday and Anthony T. Patera",
TITLE = "Spectral Element Methods for the {N}avier-{S}tokes
Equations",
BOOKTITLE = "State of the Art Surveys in Computational Mechanics",
YEAR = 1989,
EDITOR = "A.K. Noor and J.T. Oden",
PUBLISHER = "ASME",
ADDRESS = "New York"
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OLDTAG = "mameparo",
AUTHOR = "Yvon Maday and Dan Meiron and Anthony T.\ Patera and
Einar M.\ R{\o}nquist",
TITLE = "Analysis of Iterative Methods for the Steady and Unsteady
{S}tokes Problem: Application to Spectral Element
Discretizations",
JOURNAL = "SIAM J. Sci. Comp.",
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NUMBER = 2,
YEAR = 1993,
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@TECHREPORT{Maday:1996:ISM,
OLDTAG = "madwid1",
AUTHOR = "Yvon Maday and Olof B. Widlund",
TITLE = "Some Iterative Substructuring Methods
for Mortar Finite Elements: The Lower Order Case",
INSTITUTION = "Courant Institute of Mathematical Sciences",
YEAR = 1996,
NOTE = "In preparation."
}
@ARTICLE{Mande:1990:BDS,
OLDTAG = "4jama",
AUTHOR = "Jan Mandel",
TITLE = "On Block Diagonal and {S}chur Complement Preconditioning",
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VOLUME = 58,
YEAR = 1990,
PAGES = "79--93"
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@TECHREPORT{Mandel:1989:EDP,
OLDTAG = "5jama",
AUTHOR = "Jan Mandel",
TITLE = "Efficient Domain Decomposition Preconditioning for the
p-version Finite Element Method in Three Dimensions",
YEAR = 1989,
INSTITUTION = "Computational Mathematics Group,
University of Colorado at Denver"}
@INPROCEEDINGS{Mandel:1989:ISEa,
OLDTAG = "mamc1",
AUTHOR = "Jan Mandel and Steve McCormick",
TITLE = "Iterative Solution of Elliptic Equations with Refinement:
{T}he Two-Level Case",
BOOKTITLE = "Domain Decomposition Methods",
YEAR = 1989,
EDITOR = "Tony Chan and Roland Glowinski and Jacques
P{\'e}riaux and Olof Widlund",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@INPROCEEDINGS{Mandel:1989:ISEb,
OLDTAG = "mamc2",
AUTHOR = "Jan Mandel and Steve McCormick",
TITLE = "Iterative Solution of Elliptic Equations with Refinement:
The Model Multi-Level Case",
BOOKTITLE = "Domain Decomposition Methods",
YEAR = 1989,
EDITOR = "Tony Chan and Roland Glowinski and Jacques
P{\'e}riaux and Olof Widlund",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@INPROCEEDINGS{Mandel:1990:HPP,
OLDTAG = "3jama",
AUTHOR = "Jan Mandel",
TITLE = "Hierarchical preconditioning and partial orthogonalization
for the p-version finite element method",
BOOKTITLE = "Third International Symposium on Domain
Decomposition Methods for Partial Differential Equations",
EDITOR = "Tony F. Chan and Roland Glowinski and
Jacques P{\'e}riaux and Olof Widlund",
YEAR = 1990,
PUBLISHER = "SIAM",
NOTE = "Held in Houston, Texas, March 20-22, 1989.",
ADDRESS = "Philadelphia, PA"
}
@ARTICLE{Mandel:1990:ISS,
OLDTAG = "2jama",
AUTHOR = "Jan Mandel",
TITLE = "Iterative solvers by substructuring for the p-version
finite element method",
JOURNAL = "Comp. Methods Appl. Mech. Eng.",
VOLUME = 80,
YEAR = 1990,
PAGES = "117--128"
}
@ARTICLE{Mandel:1990:TDP,
OLDTAG = "1jama",
AUTHOR = "Jan Mandel",
TITLE = "Two-level domain decomposition preconditioning for the
p-version finite element version in three dimensions",
JOURNAL = "Int. J. Numer. Meth. Eng.",
VOLUME = 29,
PAGES = "1095--1108",
YEAR = 1990
}
@ARTICLE{Mandel:1991:DPP,
OLDTAG = "8jama",
AUTHOR = "Jan Mandel and G. Scott Lett",
TITLE = "Domain Decomposition Preconditioning for p-version
Finite Elements with High Aspect Ratios",
VOLUME = 8,
PAGES = "411--425",
YEAR = 1991,
JOURNAL = "Applied Numerical Analysis"
}
@unpublished{Mandel:1992:BDM,
OLDTAG = "MandelCowsarWheeler",
AUTHOR = "Lawrence Cowsar and Jan Mandel and Mary F. Wheeler",
TITLE = "Balancing Domain Decomposition for Mixed Problems in
Oil Reservoir Simulation",
NOTE = "Presented at the 6th International Symposium on
Domain Decomposition Methods, Como, Italy, 1992"
}
@ARTICLE{Mandel:1993:BDD,
OLDTAG = "7jama",
AUTHOR = "Jan Mandel",
TITLE = "Balancing Domain Decomposition",
JOURNAL = "Comm. Numer. Meth. Engrg.",
VOLUME = 9,
YEAR = 1993,
PAGES = "233--241"
}
@TECHREPORT{Mandel:1993:BDT,
OLDTAG = "MandelB-bal92",
AUTHOR = "Jan Mandel and Marian Brezina",
TITLE = "Balancing Domain Decomposition: Theory and Computations
in Two and Three Dimensions",
INSTITUTION = "Center for Computational Mathematics,
University of Colorado at Denver",
YEAR = 1993,
NUMBER = "UCD/CCM 2"
}
@INPROCEEDINGS{Mandel:1993:IBI,
OLDTAG = "10jama",
AUTHOR = "Jan Mandel",
TITLE = "Intelligent Block Iterative Methods",
BOOKTITLE = "Proceedings of the 7th World Congress on Finite
Elements, Monte Carlo, November 1993",
EDITOR = "J. Robinson",
YEAR = 1993,
PAGES = "471--477",
ISBN = "0 9507172 8 2",
PUBLISHER = "Robinson Associates, Ltd., Okehampton, Devon EX20 4NT,
England"
}
@INCOLLECTION{Mandel:1993:SLS,
OLDTAG = "6jama",
AUTHOR = "Jan Mandel",
BOOKTITLE = "Solving Large Scale Problems in Mechanics.
The Development and Application of Computational Solution
Methods",
EDITOR = "M. Papadrakakis",
TITLE = "Adaptive Iterative Solvers in Finite Elements",
YEAR = 1993,
ADDRESS = "London",
PUBLISHER = "John Wiley {\&} Sons",
PAGES = "65--88"
}
@unpublished{Mandel:1994:BDP,
OLDTAG = "MandelB-bal92-94",
AUTHOR = "Jan Mandel and Marian Brezina",
TITLE = "Balancing Domain Decomposition for Problems with
Large Jumps in Coefficients",
YEAR = 1994,
FILENAME = "balance-j.ps",
NOTE = "Math. Comp., to appear"
}
@INPROCEEDINGS{Mandel:1994:HDU,
OLDTAG = "9jama",
AUTHOR = "Jan Mandel",
TITLE = "Hybrid Domain Decomposition with Unstructured Subdomains",
BOOKTITLE = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
EDITOR = "Alfio Quarteroni and Yuri A. Kuznetsov and Jacques
P{\'e}riaux and Olof B. Widlund",
YEAR = 1994,
PUBLISHER = "AMS",
SERIES = "Contemporary Mathematics",
VOLUME = 157,
NOTE = "Held in Como, Italy, June 15--19,1992.",
PAGES = "103--112"
}
@ARTICLE{Mandel:1994:ISP,
OLDTAG = "Mandel-pversion92",
AUTHOR = "Jan Mandel",
TITLE = "Iterative Solvers for p-Version Finite
Element Method in Three Dimensions",
NOTE = "Proceedings of ICOSAHOM 92, a conference held in Montpellier,
France, June 1992.",
JOURNAL = "Comput. Methods Appl. Mech. Engrg",
YEAR = 1994,
PAGES = "175--183",
VOLUME = 116
}
@ARTICLE{Marchuk:1986:FDM,
OLDTAG = "makuma",
AUTHOR = "G. I. Marchuk and Yu. A. Kuznetsov and A. M. Matsokin",
TITLE = "Fictitious domain and domain decomposition methods",
YEAR = 1986,
VOLUME = 1,
JOURNAL = "Soviet J. of Numer. Anal. Math. Modelling",
PAGES = "3--61"
}
@PHDTHESIS{Mathew:1989:DIR,
OLDTAG = "1mat",
AUTHOR = "Tarek P. Mathew",
TITLE = "Domain Decomposition and Iterative Refinement Methods
for Mixed Finite Element Discretizations of
Elliptic Problems",
YEAR = 1989,
MONTH = "September",
SCHOOL = "Courant Institute of Mathematical Sciences",
NOTE = "Tech. Rep. 463, Department of Computer Science,
Courant Institute"
}
@ARTICLE{Mathew:1993:SAIa,
OLDTAG = "2mat",
AUTHOR = "Tarek P. Mathew",
TITLE = "{S}chwarz alternating and iterative refinement
methods for mixed formulations of elliptic Problems,
Part {I}: {A}lgorithms and {N}umerical Results",
YEAR = 1993,
JOURNAL = "Numer. Math.",
PAGES = "445--468",
VOLUME = 65,
NUMBER = 4
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@ARTICLE{Mathew:1993:SAIb,
OLDTAG = "3mat",
AUTHOR = "Tarek P. Mathew",
TITLE = "{S}chwarz alternating and iterative refinement
methods for mixed formulations of elliptic Problems,
Part {II}: {T}heory",
YEAR = 1993,
JOURNAL = "Numer. Math.",
PAGES = "469--492",
VOLUME = 65,
NUMBER = 4
}
@ARTICLE{Matsokin:1985:SAM,
OLDTAG = "mane",
AUTHOR = "A. M. Matsokin and S. V. Nepomnyaschikh",
TITLE = "A {S}chwarz alternating method in a subspace",
YEAR = 1985,
VOLUME = "29(10)",
JOURNAL = "Soviet Mathematics",
PAGES = "78--84"
}
@ARTICLE{Matsokin:1988:NST,
OLDTAG = "mane2",
AUTHOR = "A. M. Matsokin and S. V. Nepomnyaschikh",
TITLE = "Norms on the space of traces of mesh functions",
JOURNAL = "Sov. J. Numer. Anal. Math. Modeling",
VOLUME = 3,
YEAR = 1988,
PAGES = "199-216"
}
@ARTICLE{Matsokin:1989:UBM,
OLDTAG = "mane3",
AUTHOR = "A. M. Matsokin and Sergey V. Nepomnyaschikh",
TITLE = "On using the bordering method for solving systems of
mesh equations",
JOURNAL = "Sov. J. Numer. Anal. Math. Modeling",
VOLUME = 4,
YEAR = 1989,
PAGES = "487-492"
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OLDTAG = "1mcc",
AUTHOR = "Steve McCormick",
TITLE = "Fast adaptive composite grid ({FAC}) methods",
BOOKTITLE = "Defect Correction Methods: Theory and Applications",
YEAR = 1984,
EDITOR = "K. B{\"{o}}hmer and H. J. Stetter",
ORGANIZATION = "Computing Supplementum 5",
PUBLISHER = "Springer-Verlag, Wien",
PAGES = "115--121"
}
@ARTICLE{McCormick:1986:FAC,
OLDTAG = "2mcc",
AUTHOR = "Steve McCormick and Jim Thomas",
TITLE = "The Fast Adaptive Composite Grid ({FAC}) Method
for Elliptic Equations",
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YEAR = 1986,
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NUMBER = 174,
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@ARTICLE{McCormick:1986:UMS,
OLDTAG = "mcru",
AUTHOR = "S. McCormick and J. Ruge",
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YEAR = 1986,
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@BOOK{McCormick:1987:MUM,
OLDTAG = "5mcc",
EDITOR = "Stephen F. McCormick",
TITLE = "Multigrid Methods",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
NOTE = "Frontiers in Appl. Math. Vol. 6",
YEAR = 1987
}
@BOOK{McCormick:1989:MAM,
OLDTAG = "4mcc",
AUTHOR = "Stephen F. McCormick",
TITLE = "Multilevel Adaptive Methods for Partial Differential
Equations",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
YEAR = 1989
}
@INPROCEEDINGS{Meurant:1991:NED,
OLDTAG = "1meur",
AUTHOR = "G{\'e}rard A. Meurant",
TITLE = "Numerical Experiments with a Domain Decomposition
Method for Parabolic Problems on Parallel Computers",
BOOKTITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant and Jacques P{\'e}riaux and
Olof Widlund",
YEAR = 1991,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@ARTICLE{Miller:1965:NAS,
OLDTAG = "1miller",
AUTHOR = "Keith Miller",
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JOURNAL = "Numer. Math.",
VOLUME = 7,
YEAR = 1965,
PAGES = "91--103"
}
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OLDTAG = "morg",
AUTHOR = "D. Morgenstern",
TITLE = "Begr{\"u}ndung des alternierenden {V}erfahrens durch
{O}rthogonalprojektion",
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YEAR = 1956,
VOLUME = 36,
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@BOOK{Necas:1967:MDT,
OLDTAG = "nech",
AUTHOR = "Jind\v{r}ich Ne\v{c}as",
TITLE = "Les m{\'e}thodes directes en th{\'e}orie des
{\'e}quations elliptiques",
PUBLISHER = "Academia",
YEAR = 1967,
ADDRESS = "Prague"
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@TECHREPORT{Nepomnyaschikh:1984:AMB,
OLDTAG = "nepo",
AUTHOR = "Sergey 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}) $",
INSTITUTION = "Computing Center of the Siberian Branch
of the {USSR} Academy of Sciences",
YEAR = 1984,
NUMBER = 106,
ADDRESS = "Novosibirsk",
NOTE = "In Russian"
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@PHDTHESIS{Nepomnyaschikh:1986:DSM,
OLDTAG = "nepo2",
AUTHOR = "Sergey V. Nepomnyaschikh",
TITLE = "Domain Decomposition and Schwarz Methods in a Subspace
for the Approximate Solution of Elliptic Boundary Value
Problems",
SCHOOL = "Computing Center of the Siberian Branch of the USSR Academy
of Sciences",
ADDRESS = "Novosibirsk, USSR",
YEAR = 1986
}
@ARTICLE{Nepomnyaschikh:1989:ABM,
OLDTAG = "nep1",
AUTHOR = "Sergey V. Nepomnyaschikh",
TITLE = "On the application of the bordering method to the
mixed boundary value problem for elliptic equations
and on the mesh norms in $ W_{2}^{1/2}(S)$",
JOURNAL = "Sov. J. Numer. Anal. Math. Modeling",
VOLUME = 4,
YEAR = 1989,
PAGES = "493-506"
}
@INPROCEEDINGS{Nepomnyaschikh:1991:ADE,
OLDTAG = "nepo3",
AUTHOR = "Sergey V. Nepomnyaschikh",
TITLE = "Application of Domain Decomposition to Elliptic
Problems on with Discontinuous Coefficients",
BOOKTITLE = "Fourth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and
G{\'e}rard A. Meurant and Jacques P{\'e}riaux and
Olof Widlund",
YEAR = 1991,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "242--251"
}
@TECHREPORT{Nepomnyaschikh:1991:ETC,
OLDTAG = "nepo4",
AUTHOR = "Sergey V. Nepomnyaschikh and Olof B. Widlund",
TITLE = "Extension Theorems for the Case of Locally Refined
Meshes",
YEAR = 1991,
INSTITUTION = "Dept. of Computer Science, Courant Institute of
Mathematical Sciences",
NOTE = "To appear"
}
@ARTICLE{Nepomnyaschikh:1991:MTT,
OLDTAG = "nep2",
AUTHOR = "Sergey V. Nepomnyaschikh",
TITLE = "Mesh theorems of traces, normalizations of function
traces and their inversions",
JOURNAL = "Sov. J. Numer. Anal. Math. Modeling",
VOLUME = 6,
YEAR = 1991,
PAGES = "1-25"
}
@INPROCEEDINGS{Nepomnyaschikh:1992:DFD,
OLDTAG = "nepo5",
AUTHOR = "Sergey V. Nepomnyaschikh",
TITLE = "Decomposition and Fictious Domains for Elliptic
Boundary Value Problems",
BOOKTITLE = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant
and Jeffrey S. Scroggs and Robert G. Voigt",
YEAR = 1992,
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA",
PAGES = "62--72"
}
@BOOK{Oden:1982:IMT,
OLDTAG = "odred",
AUTHOR = "J. T. Oden and J. N. Reddy",
TITLE = "An Introduction to the Mathematical Theory
of Finite Elements",
PUBLISHER = "John Wiley and Sons",
ADDRESS = "New York",
YEAR = 1982
}
@TECHREPORT{Ong:1989:HBP,
OLDTAG = "ong",
AUTHOR = "M.E.G. Ong",
TITLE = "Hierarchical Basis Preconditioners for Second Order
Elliptic Problems in Three Dimensions",
YEAR = 1989,
NUMBER = "89--3",
INSTITUTION = "Dept. of Applied Math. University of Washington, Seattle"
}
@TECHREPORT{Oswald:1989:CIH,
OLDTAG = "2osw",
AUTHOR = "Peter Oswald",
TITLE = "On $C^1$ interpolating hierarchical spline bases",
YEAR = 1989,
NUMBER = "N/89/16",
INSTITUTION = "Friedrich Schiller Universit\H{a}t, Jena, Germany"
}
@TECHREPORT{Oswald:1989:EHB,
OLDTAG = "5osw",
AUTHOR = "Peter Oswald",
TITLE = "On estimates for hierarchic basis representations of
finite element functions",
YEAR = 1989,
NUMBER = "N/89/16",
INSTITUTION = "Friedrich Schiller Universit\H{a}t, Jena, Germany"
}
@ARTICLE{Oswald:1990:DNS,
OLDTAG = "3osw",
AUTHOR = "Peter Oswald",
TITLE = "On the degree of nonlinear spline approximation
in Besov-Sobolev spaces",
JOURNAL = "J. Appr. Theory",
NUMBER = 61,
YEAR = 1990,
PAGES = "131-157"
}
@ARTICLE{Oswald:1990:FSR,
OLDTAG = "4osw",
AUTHOR = "Peter Oswald",
TITLE = "On function spaces related to finite element
approximation theory",
JOURNAL = "Z. Anal. Anwendungen",
VOLUME = "9(1)",
YEAR = 1990,
PAGES = "43-64"
}
@TECHREPORT{Oswald:1991:BPP,
OLDTAG = "10osw",
AUTHOR = "Peter Oswald",
TITLE = "On a {BPX}-Preconditioner For {P}1 Elements",
NUMBER = "Math./91/2",
NOTE = "(part 2)",
YEAR = 1991,
INSTITUTION = "Friedrich Schiller Universit\H{a}t,
Jena, Germany"
}
@TECHREPORT{Oswald:1991:MPA,
OLDTAG = "7osw",
AUTHOR = "Peter Oswald",
TITLE = "On multilevel preconditioners adapted to
a variable coefficient problem",
NUMBER = "Math./91/1",
YEAR = 1991,
INSTITUTION = "Friedrich Schiller Universit\H{a}t,
Jena, Germany"
}
@TECHREPORT{Oswald:1991:PDB,
OLDTAG = "11osw",
AUTHOR = "Peter Oswald",
TITLE = "Preconditioners for discretizations of the
biharmonic equation by rectangular finite elements",
YEAR = 1991,
INSTITUTION = "Friedrich Schiller Universit\H{a}t,
Jena, Germany"
}
@TECHREPORT{Oswald:1991:RMP,
OLDTAG = "8osw",
AUTHOR = "Peter Oswald",
TITLE = "Two remarks on multilevel preconditioners",
NUMBER = "Math./91/2",
NOTE = "(part 2)",
YEAR = 1991,
INSTITUTION = "Friedrich Schiller Universit\H{a}t,
Jena, Germany"
}
@INPROCEEDINGS{Oswald:1992:DNE,
OLDTAG = "1osw",
AUTHOR = "Peter Oswald",
TITLE = "On Discrete Norm Estimates Related to Multilevel
Preconditioners in the Finite Element Method",
YEAR = 1992,
PAGES = "203--241",
EDITOR = "K. Ivanov and B. Sendov",
BOOKTITLE = "Proc. Int. Conf. Constructive Theory of Functions, Varna 91"
}
@ARTICLE{Oswald:1992:HBM,
OLDTAG = "9osw",
AUTHOR = "Peter Oswald",
TITLE = "On a hierarchical basis multilevel method
with nonconforming {P}1 elements",
JOURNAL = "Numer. Math.",
YEAR = 1992,
VOLUME = 62,
NUMBER = 2,
PAGES = "189--212"
}
@ARTICLE{Oswald:1992:HCF,
OLDTAG = "6osw",
AUTHOR = "Peter Oswald",
TITLE = "On Hierarchical conforming finite element methods
for the biharmonic equation",
YEAR = 1992,
JOURNAL = "SIAM J. Numer. Anal.",
NOTE = "To appear"
}
@BOOK{Oswald:1994:MFE,
OLDTAG = "12osw",
AUTHOR = "Peter Oswald",
TITLE = "Multilevel Finite Element Approximation,
Theory and Applications",
PUBLISHER = "B.G.\ Teubner",
YEAR = 1994,
SERIES = "Teubner {S}kripten zur {N}umerik",
ADDRESS = "Stuttgart"
}
@ARTICLE{Overton:1988:MME,
OLDTAG = "over",
AUTHOR = "Michael L. Overton",
TITLE = "On minimizing the maximum eigenvalue of a symmetric matrix",
JOURNAL = "SIAM J. Matrix Anal. Appl.",
YEAR = 1988,
VOLUME = 9,
NUMBER = 2,
PAGES = "256--268"
}
@MASTERSTHESIS{Pahl:1993:STD,
OLDTAG = "1pahl",
AUTHOR = "Shannon S. Pahl",
SCHOOL = "Department of Computational and Applied Mathematics,
University of the Witwatersrand",
ADDRESS = "Johannesburg, South Africa",
TITLE = "Schwarz Type Domain Decomposition Methods for
Spectral Element Discretizations",
YEAR = 1993,
MONTH = "December"
}
@ARTICLE{Parter:1995:PLS,
OLDTAG = "parrot",
AUTHOR = "Seymour V. Parter and Ernest E. Rothman",
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Approximations to Elliptic Problems",
YEAR = 1995,
VOLUME = 32,
NUMBER = 2,
JOURNAL = "SIAM J. Numer. Anal.",
MONTH = "April",
PAGES = "333--385"
}
@INPROCEEDINGS{Pasciak:1988:DPE,
OLDTAG = "6bps",
AUTHOR = "Joseph E. Pasciak",
TITLE = "Domain Decomposition Preconditioners for Elliptic
Problems in Two and Three Dimensions: {F}irst Approach",
BOOKTITLE = "First International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
YEAR = 1988,
EDITOR = "Roland Glowinski and Gene H. Golub and G{\'e}rard
A. Meurant and Jacques P{\'e}riaux",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@PHDTHESIS{Pavarino:1992:DAP,
OLDTAG = "3pava",
AUTHOR = "Luca F. Pavarino",
SCHOOL = "Courant Institute, New York University",
TITLE = "Domain Decomposition Algorithms for the p-version
Finite Element Method for Elliptic Problems",
INSTITUTION = "Courant Institute of Mathematical Sciences,
Department of Mathematics",
YEAR = 1992,
MONTH = "September",
NUMBER = 616
}
@ARTICLE{Pavarino:1994:ASM,
OLDTAG = "1pava",
AUTHOR = "Luca F. Pavarino",
TITLE = "Additive {S}chwarz Methods for the p-version
Finite Element Method",
YEAR = 1994,
VOLUME = 66,
NUMBER = 4,
PAGES = "493--515",
JOURNAL = "Numer. Math."
}
@INPROCEEDINGS{Pavarino:1994:ISMa,
OLDTAG = "1pavwid",
AUTHOR = "Luca F. Pavarino and Olof B. Widlund",
TITLE = "Iterative Substructuring Methods for Spectral Elements in
Three Dimensions",
YEAR = 1994,
PAGES = "345-355",
BOOKTITLE = "The Finite Element Method: Fifty Years of the
Courant Element",
PUBLISHER = "Marcel Dekker",
EDITOR = "M. K\v{r}i\v{z}ek and P. Neittaanm{\"{a}}ki and R. Stenberg",
ADDRESS = "New York, Basel, Hong Kong"
}
@TECHREPORT{Pavarino:1994:ISMb,
OLDTAG = "3pavwid",
AUTHOR = "Luca F. Pavarino and Olof B. Widlund",
TITLE = "Iterative Substructuring Methods for Spectral Elements:
Problems in Three Dimensions Based on Numerical Quadrature",
YEAR = 1994,
MONTH = "May",
NUMBER = 663,
NOTE = "To appear in Computers Math. Applic.",
INSTITUTION = "Courant Institute of Mathematical Sciences,
Department of Computer Science"
}
@INPROCEEDINGS{Pavarino:1994:SAP,
OLDTAG = "2pava",
AUTHOR = "Luca F. Pavarino",
TITLE = "Some {S}chwarz Algorithms for the p-version Finite
Element Method",
BOOKTITLE = "Domain Decomposition Methods in Science and Engineering:
The Sixth International Conference on Domain Decomposition",
EDITOR = "Alfio Quarteroni and Yuri A. Kuznetsov and Jacques
P{\'e}riaux and Olof B. Widlund",
YEAR = 1994,
SERIES = "Contemporary Mathematics",
PUBLISHER = "AMS",
VOLUME = 157,
NOTE = "Held in Como, Italy, June 15--19,1992."
}
@ARTICLE{Pavarino:1994:SML,
OLDTAG = "4pava",
AUTHOR = "Luca F. Pavarino",
TITLE = "{S}chwarz Methods with Local Refinement for the p-version
Finite Element Method",
YEAR = 1994,
VOLUME = 69,
NUMBER = 2,
PAGES = "185--211",
JOURNAL = "Numer. Math."
}
@INPROCEEDINGS{Pavarino:1994:WBB,
OLDTAG = "5pava",
AUTHOR = "Luca F. Pavarino",
TITLE = "A Wire Basket Based Method for Spectral Elements in
Three Dimensions",
BOOKTITLE = "Seventh International Conference of Domain Decomposition
Methods in Scientific and Engineering Computing",
EDITOR = "David E. Keyes and Jinchao Xu",
YEAR = 1994,
VOLUME = 180,
PAGES = "99--104",
PUBLISHER = "AMS",
SERIES = "Contemporary Mathematics",
NOTE = "Held at Penn State University, October 27-30, 1993."
}
@INPROCEEDINGS{Pavarino:1995:PCG,
OLDTAG = "4pavwid",
AUTHOR = "Luca F. Pavarino and Olof B. Widlund",
TITLE = "Preconditioned Conjugate Gradient Solvers for Spectral
Elements in 3{D}",
BOOKTITLE = "Solution Techniques for Large-Scale {CFD} Problems",
YEAR = 1995,
EDITOR = "W. G. Habashi",
PAGES = "249--270",
PUBLISHER = "John Wiley \& Sons",
NOTE = "Proceedings of the International Workshop on
Solution Techniques for Large-Scale {CFD} Problems
held at {CERCA}, Montr\'{e}al, Canada, September
26--28, 1994"
}
@ARTICLE{Pavarino:1996:PBI,
OLDTAG = "2pavwid",
AUTHOR = "Luca F. Pavarino and Olof B. Widlund",
TITLE = "A Polylogarithmic Bound for an Iterative Substructuring
Method for Spectral Elements in Three Dimensions",
YEAR = 1996,
MONTH = "August",
VOLUME = 33,
NUMBER = 4,
JOURNAL = "SIAM J. Numer. Anal.",
PAGES = "1303--1335"
}
@ARTICLE{Peisker:1988:NSF,
OLDTAG = "peisker",
AUTHOR = "P. Peisker",
TITLE = "On the Numerical Solution of the First Biharmonic Equation",
JOURNAL = "RAIRO Mathematical Modelling and Numerical Analysis",
YEAR = 1988,
VOLUME = 22,
NUMBER = 4,
PAGES = "655--676"
}
@ARTICLE{Poincare:1896:MNP,
OLDTAG = "poin",
AUTHOR = "Henri Poincar{\'e}",
TITLE = "La m{\'e}thode de {N}eumann et le probl{\`e}me de
{D}irichlet",
JOURNAL = "Acta Mathematica",
YEAR = 1896,
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PAGES = "59--??"
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@PHDTHESIS{Pourquier:1994:MEF,
OLDTAG = "pourquier_thesis",
AUTHOR = "Olivier Pourquier",
TITLE = "M\'ethode des \'el\'ements finis de haut degr\'e
(p-version): estimation du conditionnement des
matrices et construction de pr\'econditionneurs",
SCHOOL = "L'{E}cole {C}entrale de {L}yon, {F}rance",
YEAR = 1994,
MONTH = "July"
}
@ARTICLE{Przemieniecki:1963:MSA,
OLDTAG = "prze",
AUTHOR = "Przemieniecki, J. S.",
TITLE = "Matrix structural analysis of substructures.",
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PAGES = "138--147",
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@BOOK{Przemieniecki:1985:TMS,
OLDTAG = "2prz",
AUTHOR = "J. S. Przemieniecki",
TITLE = "Theory of Matrix Structural Analysis",
PUBLISHER = "Dover Publications, Inc.",
ADDRESS = "New York",
NOTE = "Reprint of McGraw Hill, 1968",
YEAR = 1985
}
@INPROCEEDINGS{Quarteroni:1989:DAS,
OLDTAG = "quar",
AUTHOR = "Alfio Quarteroni",
TITLE = "Domain Decomposition Algorithms for the {S}tokes Equations",
BOOKTITLE = "Domain Decomposition Methods",
YEAR = 1989,
EDITOR = "Tony Chan and Roland Glowinski and Jacques
P{\'e}riaux and Olof Widlund",
PUBLISHER = "SIAM",
ADDRESS = "Philadelphia, PA"
}
@ARTICLE{Quarteroni:1992:FEP,
OLDTAG = "quarzamp",
AUTHOR = "Alfio Quarteroni and Elena Zampieri",
TITLE = "Finite Element Preconditioning for {L}egendre
Spectral Collocation Approximations to Elliptic
Problems and Systems",
YEAR = 1992,
VOLUME = 29,
NUMBER = 4,
PAGES = "917--936",
JOURNAL = "SIAM J. Numer. Anal."
}
@PROCEEDINGS{Quarteroni:1994:DMS,
OLDTAG = "dom6",
TITLE = "Domain Decomposition Methods in Science and
Engineering: The Sixth International Conference on
Domain Decomposition",
EDITOR = "Alfio Quarteroni and Yuri A. Kuznetsov and Jacques
P{\'e}riaux and Olof B. Widlund",
YEAR = 1994,
PUBLISHER = "AMS",
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YEAR = 1989,
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BOOKTITLE = "Fourth International Symposium on Domain Decomposition
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BOOKTITLE = "Fifth International Symposium on Domain
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INSTITUTION = "IBM Bergen Scientific Centre",
YEAR = 1988,
NUMBER = "BSC 88/15",
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September 1986. In Russian, also available from the
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Elliptic Problems",
BOOKTITLE = "Fifth International Symposium on Domain Decomposition
Methods for Partial Differential Equations",
EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant
and Jeffrey S. Scroggs and Robert G. Voigt",
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PUBLISHER = "SIAM",
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OLDTAG = "18wid",
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