Superconvergence and a posteriori error estimates for the Stokes eigenvalue problems

被引：0
作者：
Huipo Liu
Wei Gong
Shuanghu Wang
Ningning Yan
机构：
[1] Institute of Applied Physics and Computational Mathematics,LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science
[2] Chinese Academy of Sciences,LCP
[3] Institute of Applied Physics and Computational Mathematics,LSEC, Institute of Systems Science, Academy of Mathematics and Systems Science
[4] Chinese Academy of Sciences,undefined
来源：
BIT Numerical Mathematics | 2013年 / 53卷
关键词：
Stokes eigenvalue problems; Superconvergence; A posteriori error estimates; 65N15; 65N30;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we consider the finite element approximation of the Stokes eigenvalue problems based on projection method, and derive some superconvergence results and the related recovery type a posteriori error estimators. The projection method is a postprocessing procedure that constructs a new approximation by using the least squares strategy. The results are based on some regularity assumptions for the Stokes equations, and are applicable to the finite element approximations of the Stokes eigenvalue problems with general quasi-regular partitions. Numerical results are presented to verify the superconvergence results and the efficiency of the recovery type a posteriori error estimators.
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页码：665 / 687
页数：22
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