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An approach for combining the Ritz—Galerkin and finite element methods

✍ Scribed by Zi-Cai Li

Book ID
107776840
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
667 KB
Volume
39
Category
Article
ISSN
0021-9045

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📜 SIMILAR VOLUMES

Penalty-combined approaches to the Ritz-
Penalty-combined approaches to the Ritz-Galerkin and finite element methods for singularity problems of elliptic equations
✍ Zi-Cai Li 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 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

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✍ Z.-C. LI 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 693 KB

This paper presents six combinations of the Ritz-Galerkin method and the finite difference method for solving elliptic boundary value problems. Not only optimal convergence rates of solutions but also superconvergence rates of solution derivatives can be achieved. The non-conforming combination and

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✍ Z. C. Li; T. D. Bui 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 724 KB

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 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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