Domain decomposition methods in scientific and engineering computing : proceedings of the Seventh International Conference on Domain Decomposition, October 27-30, 1993, the Pennsylvania State University / / David E. Keyes, Jinchao Xu, editors

• Record Nr.: UNINA9910817966003321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1994]; ©1994
• ISBN: 0-8218-7771-2; 0-8218-5171-3
• Descrizione fisica: 1 online resource (578 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 180
• Disciplina: 515/.353
• Soggetti: Decomposition method; Differential equations, Partial
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Preface""; ""List of participants""; ""Part I. Theory""; ""Interpolation spaces and optimal multilevel preconditioners""; ""Two-level additive Schwarz preconditioners for nonconforming finite elements""; ""Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems""; ""Domain decomposition rnethods for monotone nonlinear elliptic problems""; ""Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results""; ""Multilevel methods for elliptic problems with discontinuous coefficients in three dimensions""""Multilevel methods for elliptic problems on domains not resolved by the coarse grid""; ""Three-dimensional domain decomposition methods with nonmatching grids and unstructured coarse solvers""; ""Domain decomposition for elliptic problems with large condition numbers""; ""Stable subspace splittings for Sobolev spaces and domain decomposition algorithms""; ""A wire basket based method for spectral elements in three dimensions""; ""An analysis of spectral graph partitioning via quadratic assignment problems""""Error estimators based on stable splittings""; ""Multilevel methods for PI nonconforming finite elements and discontinuous ; coefficients in three dimensions""; ""On generalized Schwarz coupling applied to advection-dominated problems""; ""Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements""; ""Part II. Algorithms""; ""Preconditioning via asymptotically-defined domain decomposition""; ""A spectral Stokes solver in domain decomposition methods""; ""Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients""""The hierarchical basis multigrid method and incomplete LU decomposition""; ""Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes""; ""Two-grid methods for mixed finite element approximations of nonlinear parabolic equations""; ""Domain decomposition algorithms for PDE problems with large scale variations""; ""A one shot domain decomposition/fictitious domain method for the Navier-Stokes equations""; ""Domain-oriented multilevel methods""""Multigrid and domain decomposition methods for electrostatics problems""; ""A parallel subspace decomposition method for hyperbolic equations""; ""Numerical treatments for the Helmholtz problem by domain decomposition techniques""; ""Schwarz methods for obstacle problems with convection-diffusion operators""; ""On domain decomposition and shooting methods for two-point boundary value problems""; ""Robust methods for highly nonsymmetric problems""; ""Domain decomposition via the Sinc-Galerkin method for second order differential equations""; ""A bisection method to find all solutions of a system of nonlinear equations""