Lower Bounds for Eigenvalues by Nonconforming FEM on Convex Domain

被引：0
|
作者：
Andreev, A. B. [1 ]
Racheva, M. R. [1 ]
机构：
[1] Tech Univ Gabrovo, Gabrovo 5300, Bulgaria
来源：
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES | 2010年 / 1301卷
关键词：
Eigenvalue; lower bounds; Crouzeuix-Raviart element;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we analyze the approximations of second order eigenvalue problems (EVPs). The nonconforming piecewise linear finite element with integral degrees of freedom is used. We prove that the eigenvalues computed by means of this element on convex domain are smaller than the exact ones if the mesh size is small enough. Some numerical results are also given.
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页码：361 / 369
页数：9
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