Introduction; Abstract Theory of Schwarz Methods; Two-Level Overlapping Methods; Substructuring Methods: Introduction; Primal Iterative Substructuring Methods; Neumann-Neumann and FETI Methods; Spectral Element Methods; Linear Elasticity; Preconditioners for Saddle Point Problems; Problems in H (div ; .) and H (curl ; .); Indefinite and Nonsymmetric Problems; Elliptic Problems and Sobolev Spaces; Galerkin Approximations; Solution of Algebraic Linear Systems
Summary
Offers a comprehensive presentation of some of the successful domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. This book places strong emphasis on both algorithmic and mathematical aspects. It covers some important methods such as FETI and balancing Neumann-Neumann methods
Bibliography
Includes bibliographical references (pages 413-445) and index
