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A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems

✍ Scribed by Z. C. Li; T. D. Bui

Publisher
Springer Vienna
Year
1988
Tongue
English
Weight
827 KB
Volume
40
Category
Article
ISSN
0010-485X

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πŸ“œ SIMILAR VOLUMES

Penalty combinations of the Ritz-Galerki
Penalty combinations of the Ritz-Galerkin and finite difference methods for singularity problems
✍ Zi-Cai Li πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 694 KB

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

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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

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✍ Zi-Cai Li πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 885 KB

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