Domain decomposition methods for the numerical solution of partial differential equations / Tarek P.A. Mathew.

"Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and...

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Bibliographic Details
Main Author: Mathew, Tarek P. A. (Tarek Poonithara Abraham)
Format: Book
Language:English
Published: Berlin : Springer, ©2008.
Series:Lecture notes in computational science and engineering ; 61.
Subjects:

MARC

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245 1 0 |a Domain decomposition methods for the numerical solution of partial differential equations /  |c Tarek P.A. Mathew. 
260 |a Berlin :  |b Springer,  |c ©2008. 
300 |a xiii, 764 pages :  |b illustrations ;  |c 24 cm. 
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490 1 |a Lecture notes in computational science and engineering ;  |v 61. 
504 |a Includes bibliographical references (pages [711]-760) and index. 
520 1 |a "Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (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 included."--BOOK JACKET. 
650 0 |a Decomposition method.  |0 http://id.loc.gov/authorities/subjects/sh85036223. 
650 0 |a Differential equations, Partial  |x Numerical solutions.  |0 http://id.loc.gov/authorities/subjects/sh85037915. 
830 0 |a Lecture notes in computational science and engineering ;  |v 61.  |0 http://id.loc.gov/authorities/names/n97020519. 
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