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  • Book
  • © 2005

Domain Decomposition Methods - Algorithms and Theory

  • THE monograph on domain decomposition
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XV
  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

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)

Authors and Affiliations

  • ETH Zentrum, Seminar for Applied Mathematics, Zürich, Switzerland

    Andrea Toselli

  • Courant Institute of Mathematical Sciences, New York, USA

    Olof B. Widlund

Bibliographic Information

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access