Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations

被引：0
|
作者：
Qin Li
Qun Lin
Hehu Xie
机构：
[1] Chinese Academy of Sciences,LSEC, ICMSEC, Academy of Mathematics and Systems Science and Graduate University of Chinese Academy Sciences
来源：
Applications of Mathematics | 2013年 / 58卷
关键词：
Steklov eigenvalue problem; nonconforming finite element; error estimate; lower bound of the eigenvalues; 65N25; 65N30; 65N15;
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学科分类号：
摘要：
The paper deals with error estimates and lower bound approximations of the Steklov eigenvalue problems on convex or concave domains by nonconforming finite element methods. We consider four types of nonconforming finite elements: Crouzeix-Raviart, Q1rot, EQ1rot and enriched Crouzeix-Raviart. We first derive error estimates for the nonconforming finite element approximations of the Steklov eigenvalue problem and then give the analysis of lower bound approximations. Some numerical results are presented to validate our theoretical results.
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页码：129 / 151
页数：22
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