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Domain Decomposition Methods - Algorithms and Theory

Andrea Toselli, Olof Widlund (Autoren)

Buch | Hardcover

XV, 450 Seiten

2004
Springer Berlin (Verlag)
978-3-540-20696-5 (ISBN)

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lt;p>This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.

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.

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)

Erscheint lt. Verlag	18.10.2004
Reihe/Serie	Springer Series in Computational Mathematics
Zusatzinfo	XV, 450 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	930 g
Themenwelt	Mathematik / Informatik ► Informatik ► Software Entwicklung
	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Numerische Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	algorithms • domain decomposition • finite elements • Ingenieurmathematik • linear algebra • Numerische Analysis • partial differential equation • preconditioning • Sobolev Space • spectral elements • Statistics
ISBN-10	3-540-20696-5 / 3540206965
ISBN-13	978-3-540-20696-5 / 9783540206965
Zustand	Neuware