Convergence properties of two nonconforming finite elements |
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Authors: | Shi Zhong-ci |
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Affiliation: | Department of Mathematics, China University of Science and Technology, Hefei, People''s Republic of China |
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Abstract: | Two nonconforming triangular elements for second-order problems are analyzed. One element is found to be convergent. The other does not yield approximate solutions converging to the solution of the given boundary value problem, but to a wrong limit, which is the solution of another variational equation. This strange convergence behaviour may be typical for a wider class of nonconforming elements violating the basic precondition for convergence. The problem of patch subdivisions is also considered. |
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