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Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by Tarek Mathew
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by Tarek Mathew
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Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

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Description

Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. The topics discussed include hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self adjoint problems, parabolic equations, saddle point applications (Stokes, porous media and optimal control), non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is also included.
Release date NZ
May 7th, 2008
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Undergraduate
Illustrations
40 Illustrations, black and white; XIV, 770 p. 40 illus.
Pages
770
Dimensions
156x234x39
ISBN-13
9783540772057
Product ID
2109472

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