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Six combinations of the Ritz-Galerkin and finite element methods for elliptic boundary value problems

✍ Scribed by Z. C. Li; T. D. Bui

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
724 KB
Volume
4
Category
Article
ISSN
0749-159X

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✦ Synopsis

Overall comparisons are made for six efficient combinations of the Ritz-Galerkin and finite element methods for solving elliptic boundary value problems with singularities or interfaces. The comparisons are done by using theoretical analysis and numerical experiments. Significant relations among the six combinations are also found. A survey of the six combinations and their coupling strategies are given. These combinations are important not only for matching the Ritz-Galerkin method and the finite element method but also for matching other numerical methods such as the Ritz-Galerkin method and the finite difference method.

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