Estimates for the errors in Eigenvalue and Eigenvector approximation by Galerkinmethods, with particular attention to the case of multiple Eigenvalues
Estimates for the errors in Eigenvalue and Eigenvector approximation by Galerkinmethods, with particular attention to the case of multiple Eigenvalues
复制标题
DOI：
10.1137/0724082
复制
发表时间：
1987-12
影响因子：
2.9
通讯作者：
I. Babuska;J. Osborn
中科院分区：
文献类型：
--
作者：
I. Babuska;J. Osborn
用有限元或更一般的Galerkin方法对自伴函数进行特征值和特征向量近似时的误差的精确估计。问题，提出。特别注意的情况下，多个特征值。在这种情况下，结果是新的。证明是基于一种新的方法，该方法以一种简单的方式产生已知的简单特征值的结果。根据理论结果进行了数值计算和分析。
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.