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Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Language EnglishEnglish
Book Paperback
Book Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations Tarek P. A. Mathew
Libristo code: 01569687
Domain decomposition methods are divide and conquer computational methods for the parallel solution... Full description
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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.

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About the book

Full name Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
Language English
Binding Book - Paperback
Date of issue 2008
Number of pages 770
EAN 9783540772057
ISBN 3540772057
Libristo code 01569687
Weight 2390
Dimensions 155 x 235 x 42
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