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Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods

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

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
212 KB
Volume
215
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 Q 2 -P 1 element are given. Based on such expansions, the extrapolation technique is applied to improve the accuracy of the approximations.

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