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Applications of a space decomposition method to linear and nonlinear elliptic problems

✍ Scribed by Xue–Cheng Tai; Magne Espedal

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
501 KB
Volume
14
Category
Article
ISSN
0749-159X

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✦ Synopsis

This work presents some space decomposition algorithms for a convex minimization problem. The algorithms has linear rate of convergence and the rate of convergence depends only on four constants. The space decomposition could be a multigrid or domain decomposition method. We explain the detailed procedure to implement our algorithms for a two-level overlapping domain decomposition method and estimate the needed constants. Numerical tests are reported for linear as well as nonlinear elliptic problems.

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