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

被引：0
作者：
Shanghui Jia
Hehu Xie
Xiaobo Yin
Shaoqin Gao
机构：
[1] Central University of Finance and Economics,School of Applied Mathematics
[2] LSEC,College of Mathematics and Computer
[3] ICMSEC,undefined
[4] Academy of Mathematics and Systems Science,undefined
[5] CAS,undefined
[6] Hebei University,undefined
来源：
Applications of Mathematics | 2009年 / 54卷
关键词：
Stokes eigenvalue problem; stream function-vorticity-pressure method; asymptotic expansion; extrapolation; a posteriori error estimates; nonconforming finite element methods;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, Q1rot and EQ1rot. 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.
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页码：1 / 15
页数：14
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