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Computable Error Estimates for a Nonsymmetric Eigenvalue Problem

文献类型：期刊论文

作者Xie, Hehu1,2; Xie, Manting1,2; Yin, Xiaobo3,4; Yue, Meiling1,2
刊名EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
出版日期2017-08-01
卷号7期号:3页码:583-602
ISSN号2079-7362
关键词Nonsymmetric eigenvalue problem computable error estimates asymptotical exactness finite element method complementary method
DOI10.4208/eajam.140317.250517a
英文摘要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.
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
语种英语
出版者CAMBRIDGE UNIV PRESS
WOS记录号WOS:000409455400009
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26418]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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