Computable Error Estimates for a Nonsymmetric Eigenvalue Problem

doi:10.4208/eajam.140317.250517a

	Computable Error Estimates for a Nonsymmetric Eigenvalue Problem
	Xie, Hehu1,2 ; Xie, Manting 1,2; Yin, Xiaobo 3,4; Yue, Meiling 1,2
	2017-08-01
发表期刊	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
卷号	7 期号:3 页码:583-602
摘要	We provide some computable error estimates in solving a nonsymmetric eigen-value problem by general conforming finite element methods on general meshes. Based on the complementary method, we first give computable error estimates for both the original eigenfunctions and the corresponding adjoint eigenfunctions, and then we introduce a generalised Rayleigh quotient to deduce a computable error estimate for the eigenvalue approximations. Some numerical examples are presented to illustrate our theoretical results.
关键词	Nonsymmetric eigenvalue problem computable error estimates asymptotical exactness finite element method complementary method
DOI	10.4208/eajam.140317.250517a
语种	英语
资助项目	National Natural Science Foundations of China[NSFC 91330202] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[11671165] ; National Natural Science Foundations of China[91630201] ; 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] ; Central China Normal University[CCNU16A02039] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000409455400009
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26419
专题	计算数学与科学工程计算研究所
通讯作者	Yue, Meiling
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 100190, Peoples R China 3.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China 4.Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Xie, Hehu,Xie, Manting,Yin, Xiaobo,et al. Computable Error Estimates for a Nonsymmetric Eigenvalue Problem[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2017,7(3):583-602.
APA	Xie, Hehu,Xie, Manting,Yin, Xiaobo,&Yue, Meiling.(2017).Computable Error Estimates for a Nonsymmetric Eigenvalue Problem.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,7(3),583-602.
MLA	Xie, Hehu,et al."Computable Error Estimates for a Nonsymmetric Eigenvalue Problem".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 7.3(2017):583-602.