Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods |
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| Authors: | Xiaobo Yin Hehu Xie Shanghui Jia Shaoqin Gao |
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| Affiliation: | 1. LSEC, ICMSEC, Academy of Mathematics and Systems Science, CAS, Beijing 100080, China;2. School of Applied Mathematics, Central University of Finance and Economics, Beijing 100081, China;3. College of Mathematics and Computer, Hebei University, Baoding 071002, China |
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| Abstract: | This paper derives a general procedure to produce an asymptotic expansion for eigenvalues of the Stokes problem by mixed finite elements. By means of integral expansion technique, the asymptotic error expansions for the approximations of the Stokes eigenvalue problem by Bernadi–Raugel element and Q2-P1 element are given. Based on such expansions, the extrapolation technique is applied to improve the accuracy of the approximations. |
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| Keywords: | 65N30 65N25 35Q30 |
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