Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods |
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| Authors: | Shanghui Jia Hehu Xie Xiaobo Yin Shaoqin Gao |
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| Affiliation: | 1. School of Applied Mathematics, Central University of Finance and Economics, Beijing 100081, China;2. LSEC, ICMSEC, Academy of Mathematics and Systems Science, CAS, Beijing 100080, China;3. College of Mathematics and Computer, Hebei University, Baoding 071002, China |
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| 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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| Keywords: | asymptotic expansions biharmonic eigenvalue problem extrapolation nonconforming finite element methods |
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