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Discretization Methods and Iterative Solvers Based on Domain Decomposition

  • Barbara I. Wohlmuth

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 17)

Table of contents

  1. Front Matter
    Pages I-X
  2. Barbara I. Wohlmuth
    Pages 85-176
  3. Back Matter
    Pages 177-202

About this book

Introduction

Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.

Keywords

Domain decomposition techniques Schwarz methods Triangulation linear elasticity modeling mortar finite elements multigrid methods

Authors and affiliations

  • Barbara I. Wohlmuth
    • 1
  1. 1.Institut für MathematikUniversität AugsburgAugsburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-56767-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-41083-6
  • Online ISBN 978-3-642-56767-4
  • Series Print ISSN 1439-7358
  • Buy this book on publisher's site
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