KMS Of Academy of mathematics and systems sciences, CAS
Computable Error Estimates for a Nonsymmetric Eigenvalue Problem | |
Xie, Hehu1,2; Xie, Manting1,2; Yin, Xiaobo3,4; Yue, Meiling1,2 | |
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. |
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