Penalty combination of the Ritz~3alerkin and finite difference methods is presented for solving elliptic boundary value problems with singularities. The superconvergence rate, O(h2-~), of solution derivatives by the combination can be achieved while using quasiuniform rectangular difference grids, w
Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems
β Scribed by Zi-Cai Li; Qun Lin; Ning-Ning Yan
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 812 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
Penalty coupling techniques on an interface boundary, artificial or material, are first presented for combining the Ritz-Galerkin and finite element methods. An optimal convergence rate first is proved in the Soboiev norms. Moreover, a significant coupling strategy, L + 1 = O((1n h(), between these
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