Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems

被引：0

作者：

Hongtao Chen

Shanghui Jia

Hehu Xie

机构：

[1] Academy of Mathematics and Systems Science,LSEC, ICMSEC

[2] Chinese Academy of Sciences,School of Applied Mathematics

[3] Central University of Finance and Economics,undefined

来源：

Applications of Mathematics | 2009年 / 54卷

关键词：

Stokes eigenvalue problem; mixed finite element method; Rayleigh quotient formula; postprocessing; 65N30; 65N25; 65L15; 65B99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we propose a method for improving the convergence rate of the mixed finite element approximations for the Stokes eigenvalue problem. It is based on a postprocessing strategy that consists of solving an additional Stokes source problem on an augmented mixed finite element space which can be constructed either by refining the mesh or by using the same mesh but increasing the order of the mixed finite element space.

引用

页码：237 / 250

页数：13

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