Contemporary Mathematics 1998; 554 pp; softcover Volume: 218 ISBN10: 0821809881 ISBN13: 9780821809884 List Price: US$134 Member Price: US$107.20 Order Code: CONM/218
 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. Readership Researchers; graduate students; practitioners in scientific computing, particularly numerical solution of partial differential equations; engineers; computer scientists. Reviews "Experienced researchers would find these proceedings very useful. In particular, various new applications and new algorithms can be found here."  SIAM Review Table of Contents Invited presentations  Y. Achdou, G. Abdoulaev, J.C. Hontand, Y. A. Kuznetsov, O. Pironneau, and C. Prud'homme  Nonmatching grids for fluids
 T. J. Barth, T. F. C. Chan, and W.P. Tang  A parallel nonoverlapping domaindecomposition algorithm for compressible fluid flow problems on triangulated domains
 A. de La Bourdonnaye, C. Farhat, A. Macedo, F. Magoulès, and F.X. Roux  A nonoverlapping domain decomposition method for the exterior Helmholtz problem
 T. F. C. Chan, J. Xu, and L. Zikatanov  An agglomeration multigrid method for unstructured grids
 Z. Dostál, A. Friedlander, and S. A. Santos  Solution of coercive and semicoercive contact problems by FETI domain decomposition
 M. Dryja  An iterative substructuring method for elliptic mortar finite element problems with discontinuous coefficients
 M. S. Espedal, K. J. Hersvik, and B. G. Ersland  Domain decomposition methods for flow in heterogeneous porous media
 R. Glowinski, T.W. Pan, T. I. Hesla, D. D. Joseph, and J. Periaux  A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow
 L. F. Pavarino  Domain decomposition algorithms for saddle point problems
 F.X. Roux and C. Farhat  Parallel implementation of direct solution strategies for the coarse grid solvers in 2level FETI method
 Y. Saad, M. Sosonkina, and J. Zhang  Domain decomposition and multilevel type techniques for general sparse linear systems
 S. J. Sherwin, T. C. E. Warburton, and G. E. Karniadakis  Spectral/\(hp\) methods for elliptic problems on hybrid grids
 M. F. Wheeler and I. Yotov  Physical and computational domain decompositions for modeling subsurface flows
Algorithms  I. Bica  Nonoverlapping domain decomposition algorithms for the \(p\)version finite element method for elliptic problems
 D. Dureisseix and P. Ladeveze  A 2level and mixed domain decomposition approach for structural analysis
 S. Fujima  IsoP2 P1/P1/P1 domaindecomposition/finiteelement method for the NavierStokes equations
 S. Goossens, X.C. Cai, and D. Roose  Overlapping nonmatching grids method: Some preliminary studies
 C. Grandmont and Y. Maday  Nonconforming grids for the simulation of fluidstructure interaction
 M. Griebel and G. W. Zumbusch  Hashstorage techniques for adaptive multilevel solvers and their domain decomposition parallelization
 C. Japhet, F. Nataf, and F.X. Roux  Extension of a coarse grid preconditioner to nonsymmetric problems
 D. K. Kaushik, D. E. Keyes, and B. F. Smith  On the interaction of architecture and algorithm in the domainbased parallelization of an unstructuredgrid incompressible flow code
 A. Klawonn  Additive domain decomposition algorithms for a class of mixed finite element methods
 C. Lacour  Nonconforming domain decomposition method for plate and shell problems
 C.H. Lai and K. Chen  Solutions of boundary element equations by a flexible elimination process
 M. Lesoinne and K. Pierson  An efficient FETI implementation on distributed shared memory machines with independent numbers of subdomains and processors
 L. C. McInnes, R. F. SusanResiga, D. E. Keyes, and H. Atassi  Additive Schwarz methods with nonreflecting boundary conditions for the parallel computation of Helmholtz problems
 F. Risler and C. Rey  On the Reuse of Ritz vectors for the solution to nonlinear elasticity problems by domain decomposition methods
 D. J. Rixen  Dual Schur complement method for semidefinite problems
 P. Vanek, J. Mandel, and M. Brezina  Twolevel algebraic multigrid for the Helmholtz problem
 A. H. Veenstra, H. X. Lin, and E. A. H. Vollebregt  A comparison of scalability of different parallel iterative methods for shallow water equations
 D. Yang  A nonoverlapping subdomain algorithm with Lagrange multipliers and its object oriented implementation for interface problems
Theory  Y. Achdou and F. Nataf  A RobinRobin preconditioner for an advectiondiffusion problem
 F. L. Bourquin and R. Namar  A semidual mode synthesis method for plate bending vibrations
 X.C. Cai, M. A. Casarin, F. W. Elliott, and O. B. Widlund  Overlapping Schwarz algorithms for solving Helmholtz's equation
 P. Chevalier and F. Nataf  Symmetrized method with optimized secondorder conditions for the Helmholtz equation
 S. Clerc  Nonoverlapping Schwarz method for systems of first order equations
 X. Feng  Interface conditions and nonoverlapping domain decomposition methods for a fluidsolid interaction problem
 M. J. Gander  Overlapping Schwarz waveform relaxation for parabolic problems
 K. E. Gustafson  Domain decomposition, operator trigonometry, Robin condition
 G. M.K. Hui and H. S. G. Swann  On orthogonal polynomial bases for triangles and tetrahedra invariant under the symmetric group
 S.H. Lui  On Schwarz alternating methods for nonlinear elliptic problems
 P. Seshaiyer and M. Suri  Convergence results for nonconforming \(hp\) methods: The mortar finite element method
 Z. Shi and Z. Xie  Intergrid transfer oeprators for biharmonic problems using nonconforming plate elements on nonnested meshes
 Y. Wu, X.C. Cai, and D. E. Keyes  Additive Schwarz methods for hyperbolic equations
Applications  X.C. Cai, C. Farhat, and M. Sarkis  A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations
 D. Crann, A. J. Davies, C.H. Lai, and S. H. Leong  Time domain decomposition for European options in financial modelling
 J.M. Cros  Parallel modal synthesis methods in structural dynamics
 G. S. Djambazov, C.H. Lai, and K. A. Pericleous  Efficient computation of aerodynamic noise
 F.C. Otto and G. Lube  Nonoverlapping domain decomposition applied to incompressible flow problems
 C. J. Palansuriya, C.H. Lai, C. S. Ierotheou, and K. A. Pericleous  A domain decomposition based algorithm for nonlinear 2D inverse heat conduction problems
 X.C. Tai, J. Froyen, M. S. Espedal, and T. F. C. Chan  Overlapping domain decomposition and multigrid methods for inverse problems
 A. Toselli  Some results on Schwarz methods for a lowfrequency approximation of timedependent Maxwell's equations in conductive media
 R. L. Verweij, A. Twerda, and T. W. J. Peeters  Parallel computing for reacting flows using adaptive grid refinement
 C. Wieners and B. I. Wohlmuth  The coupling of mixed and conforming finite element discretizations
