A posteriori error estimator for eigenvalue problems by mixed finite element method

被引：0

作者：

JIA ShangHui ^{[1
]}

CHEN HongTao ^{[2
]}

XIE HeHu ^{[3
]}

机构：

[1] School of Applied Mathematics,Central University of Finance and Economics

[2] School of Mathematical Sciences,Xiamen University

[3] LSEC,NCMIS,Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences

来源：

Science China Mathematics | 2013年 / 56卷 / 05期

基金：

中国国家自然科学基金;

关键词：

second order elliptic eigenvalue problem; mixed finite element method; Raviart-Thomas; a posteriori error estimate; adaptive;

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

070102 ;

摘要：

In this paper,a residual type of a posteriori error estimator for the general second order elliptic eigenpair approximation by the mixed finite element method is derived and analyzed,based on a type of superconvergence result of the eigenfunction approximation.Its efficiency and reliability are proved by both theoretical analysis and numerical experiments.

引用

页码：888 / 901

页数：14

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