Stability Estimates for Hybrid Coupled Domain Decomposition Methods

  • Authors
  • Olaf¬†Steinbach

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

Table of contents

  1. Front Matter
    Pages I-VI
  2. Olaf Steinbach
    Pages 1-5
  3. Olaf Steinbach
    Pages 7-24
  4. Olaf Steinbach
    Pages 25-51
  5. Olaf Steinbach
    Pages 71-83
  6. Olaf Steinbach
    Pages 117-120
  7. Back Matter
    Pages 121-123

About this book

Introduction

 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

Bibliographic information

  • DOI https://doi.org/10.1007/b80164
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-00277-2
  • Online ISBN 978-3-540-36250-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book