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

被引：0
作者：
Dong Mao
Lihua Shen
Aihui Zhou
机构：
[1] Syracuse University,Department of Mathematics
[2] Chinese Academy of Sciences,Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science
来源：
Advances in Computational Mathematics | 2006年 / 25卷
关键词：
a posteriori error estimate; adaptive algorithm; eigenvalue; finite element; local averaging;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：135 / 160
页数：25
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