Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
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Beschreibung
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.
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.
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 Includes supplementary material: sn.pub/extras
Autor*in
Clemens Pechstein
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boundary elements domain decomposition finite elements multiscale problems numerical analysis
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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)()