Domain Decomposition Methods for Partial Differential Equations

Hardcover | April 1, 1999

byAlfio Quarteroni, Alberto Valli

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Domain decomposition methods are designed to allow the effective numerical solution of partial differential equations on parallel computer architectures. They comprise a relatively new field of study, but have already found important applications in many branches of physics and engineering. Inthis book the authors illustrate the basic mathematical concepts behind domain decomposition, looking at a large variety of boundary value problems. Contents include; symmetric elliptic equations; advection-diffusion equations; the elasticity problem; the Stokes problem for incompressible andcompressible fluids; the time-harmonic Maxwell equations; parabolic and hyperbolic equations; and suitable couplings of heterogeneous equations.

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Domain decomposition methods are designed to allow the effective numerical solution of partial differential equations on parallel computer architectures. They comprise a relatively new field of study, but have already found important applications in many branches of physics and engineering. Inthis book the authors illustrate the basic ...

Professor Alfio Quarteroni, Via Agostino da Lodi, 7 26900 Lodi, ITALY. Tel: +39 371 410148; Fax: +39 2399 4588; email: aq@mate.polimi.it Professor Alberto Valli, Department of Mathematics, University of Trento, 38050 Povo (TN), ITALY. Tel: +39 461 881580; Fax: +39 461 881624; email: valli@science.unitn.it

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Format:HardcoverPublished:April 1, 1999Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198501781

ISBN - 13:9780198501787

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Table of Contents

1. Mathematical foundation of domain decomposition methods2. Discretized equations and domain decomposition3. Iterative domain decomposition methods at the discrete level4. Convergence analysis for iterative domain decomposition5. Other boundary value problems6. Advection-diffusion equations7. Time-dependent problems8. Heterogeneous domain decomposition methods

Editorial Reviews

"ÝA¨ comprehensive mathematical theory on domain decomposition methods ... the book is very well written, and is highly recommended to researchers and graduate students who are interested in learning the basic mathematical theory of domain decomposition methods."--Mathematical Reviews