ESTIMATES FOR THE ERRORS IN EIGENVALUE AND EIGENVECTOR APPROXIMATION BY GALERKIN METHODS, WITH PARTICULAR ATTENTION TO THE CASE OF MULTIPLE-EIGENVALUES

被引：39

作者：

BABUSKA, I ^{[1
]}

OSBORN, JE ^{[1
]}

机构：

[1] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1987年 / 24卷 / 06期

关键词：

D O I：

10.1137/0724082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Refined estimates for the errors in eigenvalue and eigenvector approximation by finite element, or, more generally, Galerkin methods, as they apply to selfadjoint problems, are presented. Particular attention is given to the case of multiple eigenvalues. The results are new in this case. The proof is based on a novel approach which yields the known results for simple eigenvalues in a simple way. Numerical computations are presented and analyzed in light of the theoretical results.

引用

页码：1249 / 1276

页数：28