Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates

被引：45

作者：

Mao, Dong

Shen, Lihua

Zhou, Aihui

机构：

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2006年 / 25卷 / 1-3期

基金：

中国国家自然科学基金;

关键词：

a posteriori error estimate; adaptive algorithm; eigenvalue; finite element; local averaging;

D O I：

10.1007/s10444-004-7617-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The local averaging technique has become a popular tool in adaptive finite element methods for solving partial differential boundary value problems since it provides efficient a posteriori error estimates by a simple postprocessing. In this paper, the technique is introduced to solve a class of symmetric eigenvalue problems. Its efficiency and reliability are proved by both the theory and numerical experiments structured meshes as well as irregular meshes.

引用

页码：135 / 160

页数：26

共 37 条

[1]

Adams R., 1975, Sobolev space

[2]

Ainsworth M., 2000, A Posterior Error Estimation in Finite Element Analysis

[3]

[Anonymous], NUMERICAL METHODS PA

[4] Locally adapted tetrahedral meshes using bisection [J].