eBookISBN:  9780821811771 
Product Code:  CONM/218.E 
List Price:  $134.00 
MAA Member Price:  $120.60 
AMS Member Price:  $107.20 
eBook ISBN:  9780821811771 
Product Code:  CONM/218.E 
List Price:  $134.00 
MAA Member Price:  $120.60 
AMS Member Price:  $107.20 

Book DetailsContemporary MathematicsVolume: 218; 1998; 554 ppMSC: Primary 65; Secondary 76;
This volume contains the proceedings of the Tenth International Conference on Domain Decomposition Methods, which focused on the latest developments in realistic applications in structural mechanics, structural dynamics, computational fluid dynamics, and heat transfer. The proceedings of these conferences have become standard references in the field and contain seminal papers as well as the latest theoretical results and reports on practical applications.
This volume is divided into four parts: the first part contains invited papers (some of which survey developments over the past decade), and the other parts gather material from minisymposia and contributed presentations under three headings: Algorithms, Theory, and Applications.ReadershipResearchers; graduate students; practitioners in scientific computing, particularly numerical solution of partial differential equations; engineers; computer scientists.

Table of Contents

Part 1. Invited Presentations [ MR 1649656 ]

Yves Achdou, Gassan Abdoulaev, JeanClaude Hontand, Yuri A. Kuznetsov, Olivier Pironneau and Christophe Prud’homme  Nonmatching grids for fluids [ MR 1645841 ]

Timothy J. Barth, Tony F. Chan and WeiPai Tang  A parallel nonoverlapping domaindecomposition algorithm for compressible fluid flow problems on triangulated domains [ MR 1645842 ]

Armel de La Bourdonnaye, Charbel Farhat, Antonini Macedo, Frédéric Magoulès and FrançoisXavier Roux  A nonoverlapping domain decomposition method for the exterior Helmholtz problem [ MR 1645843 ]

Tony F. Chan, Jinchao Xu and Ludmil Zikatanov  An agglomeration multigrid method for unstructured grids [ MR 1645844 ]

Zdeněk Dostál, Ana Friedlander and Sandra A. Santos  Solution of coercive and semicoercive contact problems by FETI domain decomposition [ MR 1645845 ]

Maksymilian Dryja  An iterative substructuring method for elliptic mortar finite element problems with discontinuous coefficients [ MR 1645847 ]

Magne S. Espedal, Karl J. Hersvik and Brit G. Ersland  Domain decomposition methods for flow in heterogeneous porous media [ MR 1645848 ]

Roland Glowinski, TsorngWhay Pan, Todd I. Hesla, Daniel D. Joseph and Jacques Periaux  A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow [ MR 1645849 ]

Luca F. Pavarino  Domain decomposition algorithms for saddle point problems [ MR 1645850 ]

FrançoisXavier Roux and Charbel Farhat  Parallel implementation of direct solution strategies for the coarse grid solvers in $2$level FETI method [ MR 1645851 ]

Yousef Saad, Maria Sosonkina and Jun Zhang  Domain decomposition and multilevel type techniques for general sparse linear systems [ MR 1645852 ]

Spencer J. Sherwin, Timothy C. E. Warburton and George Em Karniadakis  Spectral/$hp$ methods for elliptic problems on hybrid grids [ MR 1645853 ]

Mary F. Wheeler and Ivan Yotov  Physical and computational domain decompositions for modeling subsurface flows [ MR 1645854 ]

Part 2. Algorithms [ MR 1649656 ]

Ion Bică  Nonoverlapping domain decomposition algorithms for the $p$version finite element method for elliptic problems [ MR 1645855 ]

David Dureisseix and Pierre Ladevèze  A $2$level and mixed domain decomposition approach for structural analysis [ MR 1645856 ]

Shoichi Fujima  Iso${\rm P}2\ {\rm P}1/{\rm P}1/{\rm P}1$ domaindecomposition/finiteelement method for the NavierStokes equations [ MR 1645857 ]

Serge Goossens, XiaoChuan Cai and Dirk Roose  Overlapping nonmatching grids method: some preliminary studies [ MR 1645858 ]

Céline Grandmont and Yvon Maday  Nonconforming grids for the simulation of fluidstructure interaction [ MR 1645859 ]

Michael Griebel and Gerhard Zumbusch  Hashstorage techniques for adaptive multilevel solvers and their domain decomposition parallelization

Caroline Japhet, Frédéric Nataf and FrançoisXavier Roux  Extension of a coarse grid preconditioner to nonsymmetric problems

Dinesh K. Kaushik, David E. Keyes and Barry F. Smith  On the interaction of architecture and algorithm in the domainbased parallelization of an unstructuredgrid imcompressible flow code

Axel Klawonn  Additive domain decomposition algorithms for a class of mixed finite element methods

Catherine Lacour  Nonconforming domain decomposition method for plate and shell problems [ MR 1645863 ]

ChoiHong Lai and Ke Chen  Solutions of boundary element equations by a flexible elimination process [ MR 1645864 ]

Michel Lesoinne and Kendall Pierson  An efficient FETI implementation on distributed shared memory machines with independent numbers of subdomains and processors

Lois C. McInnes, Romeo F. SusanResiga, David E. Keyes and Hafiz M. Atassi  Additive Schwarz methods with nonreflecting boundary conditions for the parallel computation of Helmholtz problems [ MR 1645865 ]

Franck Risler and Christian Rey  On the reuse of Ritz vectors for the solution to nonlinear elasticity problems by domain decomposition methods [ MR 1645866 ]

Daniel J. Rixen  Dual Schur complement method for semidefinite problems [ MR 1649629 ]

Petr Vaněk, Jan Mandel and Marian Brezina  Twolevel algebraic multigrid for the Helmholtz problem

Arnt H. Veenstra, Hai Xiang Lin and Edwin A. H. Vollebregt  A comparison of scalability of different parallel iterative methods for shallow water equations [ MR 1649631 ]

Daoqi Yang  A nonoverlapping subdomain algorithm with Lagrange multipliers and its object oriented implementation for interface problems [ MR 1649632 ]

Part 3. Theory [ MR 1649656 ]

Yves Achdou and Frédéric Nataf  A RobinRobin preconditioner for an advectiondiffusion problem [ MR 1649633 ]

Frédéric Bourquin and Rabah Namar  A semidual mode synthesis method for plate bending vibrations [ MR 1649634 ]

XiaoChuan Cai, Mario A. Casarin, Frank W. Elliott, Jr. and Olof B. Widlund  Overlapping Schwarz algorithms for solving Helmholtz’s equation [ MR 1649635 ]

Philippe Chevalier and Frédéric Nataf  Symmetrized method with optimized secondorder conditions for the Helmholtz equation [ MR 1649636 ]

Sébastien Clerc  Nonoverlapping Schwarz method for systems of first order equations [ MR 1649637 ]

Xiaobing Feng  Interface conditions and nonoverlapping domain decomposition methods for a fluidsolid interaction problem [ MR 1649638 ]

Martin J. Gander  Overlapping Schwarz waveform relaxation for parabolic problems [ MR 1649639 ]

Karl Gustafson  Domain decomposition, operator trigonometry, Robin condition

Gary ManKwong Hui and Howard Swann  On orthogonal polynomial bases for triangles and tetrahedra invariant under the symmetric group

Shiu Hong Lui  On Schwarz alternating methods for nonlinear elliptic problems

Padmanabhan Seshaiyer and Manil Suri  Convergence results for nonconforming $hp$ methods: The mortar finite element method

Zhongci Shi and Zhenghui Xie  Intergrid transfer operators for biharmonic problems using nonconforming plate elements on nonnested meshes [ MR 1649644 ]

Yunhai Wu, XiaoChuan Cai and David E. Keyes  Additive Schwarz methods for hyperbolic equations [ MR 1649645 ]

Part 4. Applications [ MR 1649656 ]

XiaoChuan Cai, Charbel Farhat and Marcus Sarkis  A minimum overlap restricted additive Schwarz preconditioner and applications in $3$D flow simulations [ MR 1649646 ]

Diane Crann, Alan J. Davies, ChoiHong Lai and Swee H. Leong  Time domain decomposition for European options in financial modelling [ MR 1649647 ]

JeanMichel Cros  Parallel modal synthesis methods in structural dynamics [ MR 1649648 ]

Georgi S. Djambazov, ChoiHong Lai and Koulis A. Pericleous  Efficient computation of aerodynamic noise [ MR 1649649 ]

FrankChristian Otto and Gert Lube  Nonoverlapping domain decomposition applied to incompressible flow problems [ MR 1649650 ]

Charaka J. Palansuriya, ChoiHong Lai, Constantinos S. Ierotheou and Koulis A. Pericleous  A domain decomposition based algorithm for nonlinear $2$D inverse heat conduction problems [ MR 1649651 ]

XueCheng Tai, Johnny Frøyen, Magne S. Espedal and Tony F. Chan  Overlapping domain decomposition and multigrid methods for inverse problems [ MR 1649652 ]

Andrea Toselli  Some results on Schwarz methods for a lowfrequency approximation of timedependent Maxwell’s equations in conductive media [ MR 1649653 ]

Robbert L. Verweij, Aris Twerda and Tim W. J. Peeters  Parallel computing for reacting flows using adaptive grid refinement [ MR 1649654 ]

Christian Wieners and Barbara I. Wohlmuth  The coupling of mixed and conforming finite element discretizations [ MR 1649655 ]


Reviews

Experienced researchers would find these proceedings very useful. In particular, various new applications and new algorithms can be found here.
SIAM Review


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This volume contains the proceedings of the Tenth International Conference on Domain Decomposition Methods, which focused on the latest developments in realistic applications in structural mechanics, structural dynamics, computational fluid dynamics, and heat transfer. The proceedings of these conferences have become standard references in the field and contain seminal papers as well as the latest theoretical results and reports on practical applications.
This volume is divided into four parts: the first part contains invited papers (some of which survey developments over the past decade), and the other parts gather material from minisymposia and contributed presentations under three headings: Algorithms, Theory, and Applications.
Researchers; graduate students; practitioners in scientific computing, particularly numerical solution of partial differential equations; engineers; computer scientists.

Part 1. Invited Presentations [ MR 1649656 ]

Yves Achdou, Gassan Abdoulaev, JeanClaude Hontand, Yuri A. Kuznetsov, Olivier Pironneau and Christophe Prud’homme  Nonmatching grids for fluids [ MR 1645841 ]

Timothy J. Barth, Tony F. Chan and WeiPai Tang  A parallel nonoverlapping domaindecomposition algorithm for compressible fluid flow problems on triangulated domains [ MR 1645842 ]

Armel de La Bourdonnaye, Charbel Farhat, Antonini Macedo, Frédéric Magoulès and FrançoisXavier Roux  A nonoverlapping domain decomposition method for the exterior Helmholtz problem [ MR 1645843 ]

Tony F. Chan, Jinchao Xu and Ludmil Zikatanov  An agglomeration multigrid method for unstructured grids [ MR 1645844 ]

Zdeněk Dostál, Ana Friedlander and Sandra A. Santos  Solution of coercive and semicoercive contact problems by FETI domain decomposition [ MR 1645845 ]

Maksymilian Dryja  An iterative substructuring method for elliptic mortar finite element problems with discontinuous coefficients [ MR 1645847 ]

Magne S. Espedal, Karl J. Hersvik and Brit G. Ersland  Domain decomposition methods for flow in heterogeneous porous media [ MR 1645848 ]

Roland Glowinski, TsorngWhay Pan, Todd I. Hesla, Daniel D. Joseph and Jacques Periaux  A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow [ MR 1645849 ]

Luca F. Pavarino  Domain decomposition algorithms for saddle point problems [ MR 1645850 ]

FrançoisXavier Roux and Charbel Farhat  Parallel implementation of direct solution strategies for the coarse grid solvers in $2$level FETI method [ MR 1645851 ]

Yousef Saad, Maria Sosonkina and Jun Zhang  Domain decomposition and multilevel type techniques for general sparse linear systems [ MR 1645852 ]

Spencer J. Sherwin, Timothy C. E. Warburton and George Em Karniadakis  Spectral/$hp$ methods for elliptic problems on hybrid grids [ MR 1645853 ]

Mary F. Wheeler and Ivan Yotov  Physical and computational domain decompositions for modeling subsurface flows [ MR 1645854 ]

Part 2. Algorithms [ MR 1649656 ]

Ion Bică  Nonoverlapping domain decomposition algorithms for the $p$version finite element method for elliptic problems [ MR 1645855 ]

David Dureisseix and Pierre Ladevèze  A $2$level and mixed domain decomposition approach for structural analysis [ MR 1645856 ]

Shoichi Fujima  Iso${\rm P}2\ {\rm P}1/{\rm P}1/{\rm P}1$ domaindecomposition/finiteelement method for the NavierStokes equations [ MR 1645857 ]

Serge Goossens, XiaoChuan Cai and Dirk Roose  Overlapping nonmatching grids method: some preliminary studies [ MR 1645858 ]

Céline Grandmont and Yvon Maday  Nonconforming grids for the simulation of fluidstructure interaction [ MR 1645859 ]

Michael Griebel and Gerhard Zumbusch  Hashstorage techniques for adaptive multilevel solvers and their domain decomposition parallelization

Caroline Japhet, Frédéric Nataf and FrançoisXavier Roux  Extension of a coarse grid preconditioner to nonsymmetric problems

Dinesh K. Kaushik, David E. Keyes and Barry F. Smith  On the interaction of architecture and algorithm in the domainbased parallelization of an unstructuredgrid imcompressible flow code

Axel Klawonn  Additive domain decomposition algorithms for a class of mixed finite element methods

Catherine Lacour  Nonconforming domain decomposition method for plate and shell problems [ MR 1645863 ]

ChoiHong Lai and Ke Chen  Solutions of boundary element equations by a flexible elimination process [ MR 1645864 ]

Michel Lesoinne and Kendall Pierson  An efficient FETI implementation on distributed shared memory machines with independent numbers of subdomains and processors

Lois C. McInnes, Romeo F. SusanResiga, David E. Keyes and Hafiz M. Atassi  Additive Schwarz methods with nonreflecting boundary conditions for the parallel computation of Helmholtz problems [ MR 1645865 ]

Franck Risler and Christian Rey  On the reuse of Ritz vectors for the solution to nonlinear elasticity problems by domain decomposition methods [ MR 1645866 ]

Daniel J. Rixen  Dual Schur complement method for semidefinite problems [ MR 1649629 ]

Petr Vaněk, Jan Mandel and Marian Brezina  Twolevel algebraic multigrid for the Helmholtz problem

Arnt H. Veenstra, Hai Xiang Lin and Edwin A. H. Vollebregt  A comparison of scalability of different parallel iterative methods for shallow water equations [ MR 1649631 ]

Daoqi Yang  A nonoverlapping subdomain algorithm with Lagrange multipliers and its object oriented implementation for interface problems [ MR 1649632 ]

Part 3. Theory [ MR 1649656 ]

Yves Achdou and Frédéric Nataf  A RobinRobin preconditioner for an advectiondiffusion problem [ MR 1649633 ]

Frédéric Bourquin and Rabah Namar  A semidual mode synthesis method for plate bending vibrations [ MR 1649634 ]

XiaoChuan Cai, Mario A. Casarin, Frank W. Elliott, Jr. and Olof B. Widlund  Overlapping Schwarz algorithms for solving Helmholtz’s equation [ MR 1649635 ]

Philippe Chevalier and Frédéric Nataf  Symmetrized method with optimized secondorder conditions for the Helmholtz equation [ MR 1649636 ]

Sébastien Clerc  Nonoverlapping Schwarz method for systems of first order equations [ MR 1649637 ]

Xiaobing Feng  Interface conditions and nonoverlapping domain decomposition methods for a fluidsolid interaction problem [ MR 1649638 ]

Martin J. Gander  Overlapping Schwarz waveform relaxation for parabolic problems [ MR 1649639 ]

Karl Gustafson  Domain decomposition, operator trigonometry, Robin condition

Gary ManKwong Hui and Howard Swann  On orthogonal polynomial bases for triangles and tetrahedra invariant under the symmetric group

Shiu Hong Lui  On Schwarz alternating methods for nonlinear elliptic problems

Padmanabhan Seshaiyer and Manil Suri  Convergence results for nonconforming $hp$ methods: The mortar finite element method

Zhongci Shi and Zhenghui Xie  Intergrid transfer operators for biharmonic problems using nonconforming plate elements on nonnested meshes [ MR 1649644 ]

Yunhai Wu, XiaoChuan Cai and David E. Keyes  Additive Schwarz methods for hyperbolic equations [ MR 1649645 ]

Part 4. Applications [ MR 1649656 ]

XiaoChuan Cai, Charbel Farhat and Marcus Sarkis  A minimum overlap restricted additive Schwarz preconditioner and applications in $3$D flow simulations [ MR 1649646 ]

Diane Crann, Alan J. Davies, ChoiHong Lai and Swee H. Leong  Time domain decomposition for European options in financial modelling [ MR 1649647 ]

JeanMichel Cros  Parallel modal synthesis methods in structural dynamics [ MR 1649648 ]

Georgi S. Djambazov, ChoiHong Lai and Koulis A. Pericleous  Efficient computation of aerodynamic noise [ MR 1649649 ]

FrankChristian Otto and Gert Lube  Nonoverlapping domain decomposition applied to incompressible flow problems [ MR 1649650 ]

Charaka J. Palansuriya, ChoiHong Lai, Constantinos S. Ierotheou and Koulis A. Pericleous  A domain decomposition based algorithm for nonlinear $2$D inverse heat conduction problems [ MR 1649651 ]

XueCheng Tai, Johnny Frøyen, Magne S. Espedal and Tony F. Chan  Overlapping domain decomposition and multigrid methods for inverse problems [ MR 1649652 ]

Andrea Toselli  Some results on Schwarz methods for a lowfrequency approximation of timedependent Maxwell’s equations in conductive media [ MR 1649653 ]

Robbert L. Verweij, Aris Twerda and Tim W. J. Peeters  Parallel computing for reacting flows using adaptive grid refinement [ MR 1649654 ]

Christian Wieners and Barbara I. Wohlmuth  The coupling of mixed and conforming finite element discretizations [ MR 1649655 ]

Experienced researchers would find these proceedings very useful. In particular, various new applications and new algorithms can be found here.
SIAM Review