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  • © 2003

Stability Estimates for Hybrid Coupled Domain Decomposition Methods

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1809)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VI
  2. Introduction

    • Olaf Steinbach
    Pages 1-5
  3. 1. Preliminaries

    • Olaf Steinbach
    Pages 7-24
  4. 2. Stability Results

    • Olaf Steinbach
    Pages 25-51
  5. 4. Mixed Discretization Schemes

    • Olaf Steinbach
    Pages 71-83
  6. References

    • Olaf Steinbach
    Pages 117-120
  7. Back Matter

    Pages 121-123

About this book

 Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods. 

Keywords

  • Boundary value problem
  • Domain decomposition methods
  • Sobolev space
  • coupling of finite and boundary element methods
  • finite element method
  • partial differential equation
  • stability analysis of mixed approximation schemes
  • partial differential equations

Bibliographic Information

  • Book Title: Stability Estimates for Hybrid Coupled Domain Decomposition Methods

  • Authors: Olaf Steinbach

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b80164

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2003

  • Softcover ISBN: 978-3-540-00277-2Published: 19 December 2002

  • eBook ISBN: 978-3-540-36250-0Published: 01 January 2003

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 126

  • Topics: Applications of Mathematics, Numerical Analysis, Differential Equations

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 42.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions