Domain Decomposition Methods for Partial Differential Equations (Numerical Mathematics and Scientific Computation) 1st Edition by Alfio Quarteroni (PDF)

Description

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. In this 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 and compressible fluids, the time-harmonic Maxwell equations, parabolic and hyperbolic equations, and suitable couplings of heterogeneous equations.

User’s Reviews

Editorial Reviews: Review “[A] 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 About the Author 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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