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

页码：1030 / 1041

页数：12

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