RECENT RESULTS ON LOWER BOUNDS OF EIGENVALUE PROBLEMS BY NONCONFORMING FINITE ELEMENT METHODS

被引:11
|
作者
Lin, Qun [1 ]
Xie, Hehu [2 ]
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China
关键词
Lower bound; nonconforming finite element; ECR; EQ(1)(rot); Morley; eigenvalue problem; Laplace; Steklov; biharmonic; Stokes; SELF-ADJOINT; APPROXIMATION; EXPANSIONS;
D O I
10.3934/ipi.2013.7.795
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A short survey of lower bounds of eigenvalue problems by nonconforming finite element methods is given. The class of eigenvalue problems considered covers Laplace, Steklov, biharmonic and Stokes eigenvalue problems.
引用
收藏
页码:795 / 811
页数:17
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