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© 2005

Domain Decomposition Methods — Algorithms and Theory

Book

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 34)

Table of contents

  1. Front Matter
    Pages I-XV
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  2. Introduction
    Andrea Toselli, Olof B. Widlund
    Pages 1-34
  3. Abstract Theory of Schwarz Methods
    Andrea Toselli, Olof B. Widlund
    Pages 35-53
  4. Two-Level Overlapping Methods
    Andrea Toselli, Olof B. Widlund
    Pages 55-85
  5. Substructuring Methods: Introduction
    Andrea Toselli, Olof B. Widlund
    Pages 87-112
  6. Primal Iterative Substructuring Methods
    Andrea Toselli, Olof B. Widlund
    Pages 113-129
  7. Neumann-Neumann and FETI Methods
    Andrea Toselli, Olof B. Widlund
    Pages 131-191
  8. Spectral Element Methods
    Andrea Toselli, Olof B. Widlund
    Pages 193-215
  9. Linear Elasticity
    Andrea Toselli, Olof B. Widlund
    Pages 217-229
  10. Preconditioners for Saddle Point Problems
    Andrea Toselli, Olof B. Widlund
    Pages 231-270
  11. Problems in H (div ; ω) and H (curl ; ω)
    Andrea Toselli, Olof B. Widlund
    Pages 271-309
  12. Indefinite and Nonsymmetric Problems
    Andrea Toselli, Olof B. Widlund
    Pages 311-335
  13. Elliptic Problems and Sobolev Spaces
    Andrea Toselli, Olof B. Widlund
    Pages 337-370
  14. Galerkin Approximations
    Andrea Toselli, Olof B. Widlund
    Pages 371-393
  15. Solution of Algebraic Linear Systems
    Andrea Toselli, Olof B. Widlund
    Pages 395-411
  16. Back Matter
    Pages 413-450
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About this book

Keywords

Sobolev space algorithms domain decomposition finite elements linear algebra partial differential equation preconditioning spectral elements statistics

Authors and affiliations

  1. 1.ETH ZentrumSeminar for Applied MathematicsZürichSwitzerland
  2. 2.Courant Institute of Mathematical SciencesNew YorkUSA

Bibliographic information

Reviews

From the reviews of the first edition:

"This book unifies the results from a number of papers by the authors and their coworkers over the past two decades, and complements them by new insights and some background. The distinguishing feature of this book is a comprehensive and rigorous treatment of convergence bounds based on the theory of infinite elements. … The bibliography is quite complete for the fields covered … . The book belongs on the desk of all specialists involved in domain decomposition and substructuring … ." (Jan Mandel, Zentralblatt MATH, Vol. 1069, 2005)