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Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods

✍ Scribed by Shanghui Jia; Hehu Xie; Xiaobo Yin; Shaoqin Gao

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 140 KB
Volume: 24
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.20268

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✦ Synopsis

Abstract

In this paper, we analyze the biharmonic eigenvalue problem by two nonconforming finite elements, Q and E Q. We obtain full order convergence rate of the eigenvalue approximations for the biharmonic eigenvalue problem based on asymptotic error expansions for these two nonconforming finite elements. Using the technique of eigenvalue error expansion, the technique of integral identities, and the extrapolation method, we can improve the accuracy of the eigenvalue approximations. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008

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