Electronic Resource
Springer
Advances in computational mathematics
9 (1998), S. 173-190
ISSN:
1572-9044
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Multi-parameter extrapolation was first introduced by Zhou et al. for solving partial differential equations with finite element methods in 1994. The method is based on a domain decomposition and independent discretization of the subdomains resulting in a multi-parameter error expansion. This permits a generalized extrapolation technique. The algorithm is naturally parallel since the main computational work is spent in solving independent linear systems. Here the method is extended to the case of boundary integral equations on polygonal domains, where singularities require graded meshes. A complete analysis is given, based on weighted norm techniques. Several numerical experiments demonstrate the mathematical features and practical usefulness of the method.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018989523557
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