POSTPROCESSING AND HIGHER ORDER CONVERGENCE FOR THE MIXED FINITE ELEMENT APPROXIMATIONS OF THE STOKES EIGENVALUE PROBLEMS

Hongtao Chen; Shanghui Jia; Hehu Xie

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POSTPROCESSING AND HIGHER ORDER CONVERGENCE FOR THE MIXED FINITE ELEMENT APPROXIMATIONS OF THE STOKES EIGENVALUE PROBLEMS

机译：Stokes特征值问题的混合有限元逼近的后处理和高阶收敛

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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.

机译：本文提出了一种提高斯托克斯特征值问题混合有限元逼近收敛速度的方法。它基于一种后处理策略，该策略包括在增强的混合有限元空间上解决附加的Stokes源问题，可以通过细化网格或使用相同的网格但增加混合有限元空间的顺序来构造该问题。

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来源
《Applications of Mathematics》 |2009年第3期|237-250|共14页
作者
Hongtao Chen; Shanghui Jia; Hehu Xie;
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作者单位

Academy of Mathematics and Sys-tems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China;

School of Applied Mathematics, Central University of Finance and Economics, Beijing 100081, P.R.China;

Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R.China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
stokes eigenvalue problem; mixed finite element method; rayleigh quotient formula; postprocessing;

机译：斯托克斯特征值问题;混合有限元法瑞利商公式;后期处理;

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1. Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems [J] . Chen Hongtao, Jia Shanghui, Xie Hehu Applications of mathematics . 2009,第3期

机译：Stokes特征值问题的混合有限元逼近的后处理和高阶收敛
2. Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem [J] . Hongtao Chen, Shanghui Jia, Hehu Xie Applied numerical mathematics . 2011,第4期

机译：特征值问题的混合有限元逼近的后处理和高阶收敛
3. Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems [J] . Andreev AB, Lazarov RD, Racheva MR Journal of Computational and Applied Mathematics . 2005,第2期

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4. Postprocessing and Improved Accuracy of the Lowest-Order Mixed Finite Element Approximation for Biharmonic Eigenvalues [C] . Andrey Andreev, Raytcho Lazarov, Milena Racheva International Conference on Large-Scale Scientific Computing . 2006

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7. Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems [O] . Chen, Hongtao, Jia, Shanghui, Xie, Hehu 2009

机译：Stokes特征值问题的混合有限元逼近的后处理和高阶收敛
8. Convergence of Mixed Finite Element Approximations of a Class of Linear Boundary-Value Problems. [R] . reddy, j. n. oden, j. t. 1973

机译：一类线性边值问题的混合有限元逼近的收敛性。

POSTPROCESSING AND HIGHER ORDER CONVERGENCE FOR THE MIXED FINITE ELEMENT APPROXIMATIONS OF THE STOKES EIGENVALUE PROBLEMS

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