Advertisement

© 2013

Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

Benefits

  • Detailed derivation of the methods and their analysis

  • Includes algorithms and implementation issues

  • Special chapter on multiscale problems at the cutting edge of research

  • Both finite and boundary elements are covered, as well as exterior problems

Book

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

  1. 1., Institute of Computational MathematicsJohannes Kepler UniversityLinzAustria

Bibliographic information

  • Book Title Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
  • Authors Clemens Pechstein
  • Series Title Lecture Notes in Computational Science and Engineering
  • 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 Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-642-23587-0
  • Softcover ISBN 978-3-642-44438-8
  • eBook ISBN 978-3-642-23588-7
  • Series ISSN 1439-7358
  • Edition Number 1
  • Number of Pages XIV, 322
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Numerical Analysis
    Computational Science and Engineering
  • Buy this book on publisher's site
Industry Sectors
Energy, Utilities & Environment
Engineering

Reviews

From the reviews:

“The book gives a detailed and self-contained presentation of tearing and interconnecting methods for finite and boundary element discretizations of second-order elliptic partial differential equations. … It is a good complement to existing monographs and surveys about this active research field. The text can serve also as a useful reference book and is intended for researchers, postgraduate students, and all practitioners working in the areas of efficient solution methods for partial differential equations.” (Gunther Schmidt, zbMATH, Vol. 1272, 2013)