Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

Nonfiction, Science & Nature, Mathematics, Number Systems, Computers, Advanced Computing, Computer Science
Cover of the book Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems by Clemens Pechstein, Springer Berlin Heidelberg
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Author: Clemens Pechstein ISBN: 9783642235887
Publisher: Springer Berlin Heidelberg Publication: December 14, 2012
Imprint: Springer Language: English
Author: Clemens Pechstein
ISBN: 9783642235887
Publisher: Springer Berlin Heidelberg
Publication: December 14, 2012
Imprint: Springer
Language: English

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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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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