Domain Decomposition Methods 10
About this Volume
Edited by: Jan Mandel, Charbel Farhat and Xiao-Chuan Cai
Publication Year 1998:
Volume: 218
ISBNs: 978-0-8218-0988-4 (p); 978-0-8218-1177-1 (e)
DOI: http://dx.doi.org/10.1090/conm/218
ReadershipTable of Contents
Front/Back Matter
Invited Presentations
- Yves Achdou, Gassan Abdoulaev, Jean-Claude Hontand, Yuri A. Kuznetsov, Olivier Pironneau and Christophe Prud’homme -- Nonmatching grids for fluids
- Timothy J. Barth, Tony F. Chan and Wei-Pai Tang -- A parallel non-overlapping domain-decomposition algorithm for compressible fluid flow problems on triangulated domains
- Armel de La Bourdonnaye, Charbel Farhat, Antonini Macedo, Frédéric Magoulès and François-Xavier Roux -- A non-overlapping domain decomposition method for the exterior Helmholtz problem
- Tony F. Chan, Jinchao Xu and Ludmil Zikatanov -- An agglomeration multigrid method for unstructured grids
- Zdeněk Dostál, Ana Friedlander and Sandra A. Santos -- Solution of coercive and semicoercive contact problems by FETI domain decomposition
- Maksymilian Dryja -- An iterative substructuring method for elliptic mortar finite element problems with discontinuous coefficients
- Magne S. Espedal, Karl J. Hersvik and Brit G. Ersland -- Domain decomposition methods for flow in heterogeneous porous media
- Roland Glowinski, Tsorng-Whay 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
- Luca F. Pavarino -- Domain decomposition algorithms for saddle point problems
- François-Xavier Roux and Charbel Farhat -- Parallel implementation of direct solution strategies for the coarse grid solvers in $2$-level FETI method
- Yousef Saad, Maria Sosonkina and Jun Zhang -- Domain decomposition and multi-level type techniques for general sparse linear systems
- Spencer J. Sherwin, Timothy C. E. Warburton and George Em Karniadakis -- Spectral/$hp$ methods for elliptic problems on hybrid grids
- Mary F. Wheeler and Ivan Yotov -- Physical and computational domain decompositions for modeling subsurface flows
Algorithms
- Ion Bică -- Nonoverlapping domain decomposition algorithms for the $p$-version finite element method for elliptic problems
- David Dureisseix and Pierre Ladevèze -- A $2$-level and mixed domain decomposition approach for structural analysis
- Shoichi Fujima -- Iso-${\rm P}2\ {\rm P}1/{\rm P}1/{\rm P}1$ domain-decomposition/finite-element method for the Navier-Stokes equations
- Serge Goossens, Xiao-Chuan Cai and Dirk Roose -- Overlapping nonmatching grids method: some preliminary studies
- Céline Grandmont and Yvon Maday -- Nonconforming grids for the simulation of fluid-structure interaction
- Michael Griebel and Gerhard Zumbusch -- Hash-storage techniques for adaptive multilevel solvers and their domain decomposition parallelization
- Caroline Japhet, Frédéric Nataf and François-Xavier Roux -- Extension of a coarse grid preconditioner to non-symmetric problems
- Dinesh K. Kaushik, David E. Keyes and Barry F. Smith -- On the interaction of architecture and algorithm in the domain-based parallelization of an unstructured-grid imcompressible flow code
- Axel Klawonn -- Additive domain decomposition algorithms for a class of mixed finite element methods
- Catherine Lacour -- Non-conforming domain decomposition method for plate and shell problems
- Choi-Hong Lai and Ke Chen -- Solutions of boundary element equations by a flexible elimination process
- 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. Susan-Resiga, David E. Keyes and Hafiz M. Atassi -- Additive Schwarz methods with nonreflecting boundary conditions for the parallel computation of Helmholtz problems
- Franck Risler and Christian Rey -- On the reuse of Ritz vectors for the solution to nonlinear elasticity problems by domain decomposition methods
- Daniel J. Rixen -- Dual Schur complement method for semi-definite problems
- Petr Vaněk, Jan Mandel and Marian Brezina -- Two-level 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
- Daoqi Yang -- A nonoverlapping subdomain algorithm with Lagrange multipliers and its object oriented implementation for interface problems
Theory
- Yves Achdou and Frédéric Nataf -- A Robin-Robin preconditioner for an advection-diffusion problem
- Frédéric Bourquin and Rabah Namar -- A semi-dual mode synthesis method for plate bending vibrations
- Xiao-Chuan Cai, Mario A. Casarin, Frank W. Elliott, Jr. and Olof B. Widlund -- Overlapping Schwarz algorithms for solving Helmholtz’s equation
- Philippe Chevalier and Frédéric Nataf -- Symmetrized method with optimized second-order conditions for the Helmholtz equation
- Sébastien Clerc -- Non-overlapping Schwarz method for systems of first order equations
- Xiaobing Feng -- Interface conditions and non-overlapping domain decomposition methods for a fluid-solid interaction problem
- Martin J. Gander -- Overlapping Schwarz waveform relaxation for parabolic problems
- Karl Gustafson -- Domain decomposition, operator trigonometry, Robin condition
- Gary Man-Kwong 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 non-conforming $hp$ methods: The mortar finite element method
- Zhongci Shi and Zhenghui Xie -- Intergrid transfer operators for biharmonic problems using nonconforming plate elements on nonnested meshes
- Yunhai Wu, Xiao-Chuan Cai and David E. Keyes -- Additive Schwarz methods for hyperbolic equations
Applications
- Xiao-Chuan Cai, Charbel Farhat and Marcus Sarkis -- A minimum overlap restricted additive Schwarz preconditioner and applications in $3$D flow simulations
- Diane Crann, Alan J. Davies, Choi-Hong Lai and Swee H. Leong -- Time domain decomposition for European options in financial modelling
- Jean-Michel Cros -- Parallel modal synthesis methods in structural dynamics
- Georgi S. Djambazov, Choi-Hong Lai and Koulis A. Pericleous -- Efficient computation of aerodynamic noise
- Frank-Christian Otto and Gert Lube -- Non-overlapping domain decomposition applied to incompressible flow problems
- Charaka J. Palansuriya, Choi-Hong Lai, Constantinos S. Ierotheou and Koulis A. Pericleous -- A domain decomposition based algorithm for non-linear $2$D inverse heat conduction problems
- Xue-Cheng Tai, Johnny Frøyen, Magne S. Espedal and Tony F. Chan -- Overlapping domain decomposition and multigrid methods for inverse problems
- Andrea Toselli -- Some results on Schwarz methods for a low-frequency approximation of time-dependent Maxwell’s equations in conductive media
- Robbert L. Verweij, Aris Twerda and Tim W. J. Peeters -- Parallel computing for reacting flows using adaptive grid refinement
- Christian Wieners and Barbara I. Wohlmuth -- The coupling of mixed and conforming finite element discretizations
