Andrea Toselli, Olof Widlund

Domain Decomposition Methods - Algorithms and Theory (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Springer Berlin
• Erscheinungstermin: 20. Juni 2006
• Englisch
• ISBN-13: 9783540266624
• Artikelnr.: 37366871

Autorenporträt

Andrea Toselli, ETH Zürich, Switzerland / Olof Widlund, Courant Institute, New York, NY, USA

Inhaltsangabe

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Abstract Theory of Schwarz Methods.- Two-Level Overlapping Methods.- Substructuring Methods: Introduction.- Primal Iterative Substructuring Methods.- Neumann-Neumann and FETI Methods.- Spectral Element Methods.- Linear Elasticity.- Preconditioners for Saddle Point Problems.- Problems in H (div ; ?) and H (curl ; ?).- Indefinite and Nonsymmetric Problems.- Elliptic Problems and Sobolev Spaces.- Galerkin Approximations.- Solution of Algebraic Linear Systems.

Rezensionen

From the reviews of the first edition: "This book unifies the results from a number of papers by the authors and their coworkers over the past two decades, and complements them by new insights and some background. The distinguishing feature of this book is a comprehensive and rigorous treatment of convergence bounds based on the theory of infinite elements. ... The bibliography is quite complete for the fields covered ... . The book belongs on the desk of all specialists involved in domain decomposition and substructuring ... ." (Jan Mandel, Zentralblatt MATH, Vol. 1069, 2005)