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Mathematics - Computational Science & Engineering | Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

Pechstein, Clemens

2013, XIV, 312 p. 51 illus., 1 illus. in color.

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  • 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
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.

Content Level » Research

Keywords » boundary elements - domain decomposition - finite elements - multiscale problems - numerical analysis

Related subjects » Computational Science & Engineering

Table of contents / Sample pages 

Preliminaries.- One-level FETI/BETI Methods.- Multiscale Problems.- Unbounded Domains.- Dual-Primal Methods.- References.- Index.- List of Symbols

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