FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM

被引：0
|
作者：
Hong, Qichen [1 ,2 ]
Xie, Hehu [1 ,2 ]
Yue, Meiling [1 ,2 ]
Zhang, Ning [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2018年 / 15卷 / 1-2期
关键词：
Eigenvalue problem; computable error estimate; guaranteed upper bound; guaranteed lower bound; complementary method; FINITE-ELEMENT METHODS; APPROXIMATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the computable error estimates for the eigenvalue problem which is solved by the general conforming finite element methods on the general meshes. Based on the computable error estimate, we can give an asymptotically lower bound of the general eigenvalues. hirthermore, we also give a guaranteed upper bound of the error estimates for the first eigenfunction approximation and a guaranteed lower bound of the first eigenvalue based on computable error estimator. Some numerical examples are presented to validate the theoretical results deduced in this paper.
引用
收藏
页码：260 / 276
页数：17
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