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

来源：

INVERSE PROBLEMS AND IMAGING | 2013年 / 7卷 / 03期

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

页码：795 / 811

页数：17

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