Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

Author:   Clemens Pechstein
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2013 ed.
Volume:   90
ISBN:  

9783642444388


Pages:   322
Publication Date:   29 January 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems


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Overview

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.

Full Product Details

Author:   Clemens Pechstein
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Volume:   90
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   5.095kg
ISBN:  

9783642444388


ISBN 10:   3642444385
Pages:   322
Publication Date:   29 January 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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

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)


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)


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)


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