Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations (Lecture Notes in Computational Science and Engineering, 61)

Mathew, Tarek P.A.

ISBN 10: 3540772057 / ISBN 13: 9783540772057

Published by Springer, 2008

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Bibliographic Details

• Title: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations (Lecture Notes in Computational Science and Engineering, 61)
• Publisher: Springer
• Publication Date: 2008
• Language: English
• ISBN 10: 3540772057
• ISBN 13: 9783540772057
• Binding: Soft cover
• Condition: New

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Synopsis

Book by Mathew, Tarek

From the Back Cover

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.