FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM

	FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM
	Hong, Qichen 1,2; Xie, Hehu1,2 ; Yue, Meiling 1,2; Zhang, Ning 1,2
	2018
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	15 期号:1-2 页码:260-276
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.
关键词	Eigenvalue problem computable error estimate guaranteed upper bound guaranteed lower bound complementary method
语种	英语
资助项目	National Natural Science Foundations of China[NSFC 91730302] ; National Natural Science Foundations of China[11771434] ; National Natural Science Foundations of China[91330202] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[11001259] ; National Natural Science Foundations of China[11031006] ; National Natural Science Foundations of China[2011CB309703] ; Science Challenge Project[JCKY2016212A502] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000428719500015
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30110
专题	计算数学与科学工程计算研究所
通讯作者	Hong, Qichen
作者单位	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
推荐引用方式 GB/T 7714	Hong, Qichen,Xie, Hehu,Yue, Meiling,et al. FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2018,15(1-2):260-276.
APA	Hong, Qichen,Xie, Hehu,Yue, Meiling,&Zhang, Ning.(2018).FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,15(1-2),260-276.
MLA	Hong, Qichen,et al."FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 15.1-2(2018):260-276.