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

被引：16

作者：

Jia ShangHui ^{[1
]}

Chen HongTao ^{[2
]}

Xie HeHu ^{[3
]}

机构：

[1] Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China

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; APPROXIMATION; CONVERGENCE;

D O I：

10.1007/s11425-013-4614-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：887 / 900

页数：14

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