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Domain Decomposition

Domain Decomposition
Parallel Multilevel Methods for Elliptic Partial Differential Equations

$69.99 (P)

  • Date Published: March 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521602860

$ 69.99 (P)
Paperback

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  • This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. The relationship between domain decomposition and multigrid methods is carefully explained at an elementary level, and discussions of the implementation of domain decomposition methods on massively parallel super computers are also included. All algorithms are fully described and explained, and a mathematical framework for the analysis and complete understanding of the methods is also carefully developed. In addition, numerous numerical examples are included to demonstrate the behaviour of this important class of numerical methods. This book is ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.

    • First complete book on domain decomposition methods
    • Introduces the concepts required for the efficient solution of partial differential equations on distributed, parallel, and conventional computers
    • Applications in computer science, mathematics and engineering
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    Reviews & endorsements

    'This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis … All algorithms are fully described and explained, and a mathematical framework for the analysis and complete understanding of the methods is also carefully developed.' L'Enseignement Mathématique

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    Product details

    • Date Published: March 2004
    • format: Paperback
    • isbn: 9780521602860
    • length: 240 pages
    • dimensions: 245 x 183 x 13 mm
    • weight: 0.44kg
    • contains: 46 b/w illus. 2 tables
    • availability: Available
  • Table of Contents

    1. One level algorithms
    2. Two level algorithms
    3. Multilevel algorithms
    4. Substructuring methods
    5. A convergence theory
    Appendix 1
    Appendix 2
    Bibliography.

  • Authors

    Barry Smith, Argonne National Laboratory, Illinois

    Petter Bjorstad, Universitetet i Bergen, Norway

    William Gropp, University of Illinois, Urbana-Champaign

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