Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

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Springer Science & Business Media, Dec 14, 2012 - Mathematics - 322 pages
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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.
 

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Contents

Chapter 1 Preliminaries
1
Chapter 2 OneLevel FETIBETI Methods
63
Chapter 3 Multiscale Problems
156
Chapter 4 Unbounded Domains
215
Chapter 5 DualPrimal Methods
247
References
282
List of Symbols
303
Index
311
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