Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

  • Clemens Pechstein
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 90)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Clemens Pechstein
    Pages 1-61
  3. Clemens Pechstein
    Pages 63-155
  4. Clemens Pechstein
    Pages 157-213
  5. Clemens Pechstein
    Pages 215-246
  6. Clemens Pechstein
    Pages 247-281
  7. Back Matter
    Pages 283-312

About this book

Introduction

Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the most successful domain decomposition solvers for partial differential equations. The purpose of this book is to give a detailed and self-contained presentation of these methods, including the corresponding algorithms as well as a rigorous convergence theory. In particular, two issues are addressed that have not been covered in any monograph yet: the coupling of finite and boundary elements within the tearing and interconnecting framework including exterior problems, and the case of highly varying (multiscale) coefficients not resolved by the subdomain partitioning. In this context, the book offers a detailed view to an active and up-to-date area of research.

Keywords

boundary elements domain decomposition finite elements multiscale problems numerical analysis

Authors and affiliations

  • Clemens Pechstein
    • 1
  1. 1., Institute of Computational MathematicsJohannes Kepler UniversityLinzAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-23588-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-23587-0
  • Online ISBN 978-3-642-23588-7
  • Series Print ISSN 1439-7358