Approximation of variational eigenvalue problems

被引：21
作者：
Solov'ev, S. I. [1 ]
机构：
[1] Kazan VI Lenin State Univ, Kazan 420008, Russia
来源：
DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 07期
关键词：
Hilbert Space; Eigenvalue Problem; Bilinear Form; Spectral Problem; Subspace Versus;
D O I：
10.1134/S0012266110070104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A variational eigenvalue problem in an infinite-dimensional Hilbert space is approximated by a problem in a finite-dimensional subspace. We analyze the convergence and accuracy of the approximate solutions. The general results are illustrated by a scheme of the finite element method with numerical integration for a one-dimensional second-order differential eigenvalue problem. For this approximation, we obtain optimal estimates for the accuracy of the approximate solutions.
引用
收藏
页码：1030 / 1041
页数：12
相关论文
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