On the simplified hybrid-combined method-Reference-Cited by-同舟云学术

On the simplified hybrid-combined method

Published:1983 Issue:163 Volume:41 Page:13-25
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Li Zi Cai,Liang Guo Ping

Abstract

In order to solve the boundary value problems of elliptic equations, especially with singularities and unbounded domains, the simplified hybrid-combined method, which is equivalent to the coupling method of Zienkiewicz et al. [15], is presented. This is a combination of the Ritz-Galerkin and the finite element methods. Its optimal error estimates are proved in this paper, and the solution strategy of its algebraic equation system is discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1983-41-163/S0025-5718-1983-0701621-7/S0025-5718-1983-0701621-7.pdf

Reference15 articles.

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4. S. C. Eisenstat, On the Rate of Convergence of the Bergman-Vekua Method for the Numerical Solution of Elliptic Boundary Value Problems, Research Report No. 72-2, Department of Computer Science, Yale University, 1972.

5. Hybrid finite element methods;Fix, George M.;SIAM Rev.,1976

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