ENGLISH

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

By Tarek Poonithara Abraham Mathew (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
9783540772057, 9783540772095, 3540772057, 354077209X
DOI
10.1007/978-3-540-77209-5
LCC
QA402.2 .M38 2008
Google Books ID
9n9PTTvimG4C
Open Library ID
OL17041209M
Language
english
Format
PDF
Filesize
4 MB (4489976 bytes)
Series
Lecture Notes in Computational Science and Engineering 61
Edition
1
Pages
770\775
Library
Kolxo3
Scanned
no
Time added
2009-07-20 03:45:11
Computational Science and Engineering; Mathematics

Description

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.

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