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A cascadic multigrid method for nonsymmetric eigenvalue problem
Yue, Meiling1; Xie, Hehu2,3; Xie, Manting4
2019-12-01
Source PublicationAPPLIED NUMERICAL MATHEMATICS
ISSN0168-9274
Volume146Pages:55-72
AbstractIn this paper, a cascadic multigrid method is proposed to solve nonsymmetric eigenvalue problems. Based on the multilevel correction method, the proposed method transforms a nonsymmetric eigenvalue problem solving on the finest finite element space to linear smoothing steps on a sequence of multilevel finite element spaces and some nonsymmetric eigenvalue problems solving on a very low dimensional space. Choosing the sequence of finite element spaces and the number of smoothing steps appropriately, we obtain the optimal convergence rate with the optimal computing complexity. Some numerical examples are provided to validate the theoretical results and the efficiency of this proposed scheme. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
KeywordNonsymmetric eigenvalue problem Cascadic multigrid Multilevel correction method Finite element method
DOI10.1016/j.apnum.2019.07.007
Language英语
Funding ProjectResearch Foundation for Youth Scholars of Beijing Technology and Business University[PXM2019_014213_000007] ; National Nature Science Foundation of China[11771434] ; National Nature Science Foundation of China[91330202] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000488657900004
PublisherELSEVIER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35940
Collection计算数学与科学工程计算研究所
Corresponding AuthorXie, Manting
Affiliation1.Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
Recommended Citation
GB/T 7714
Yue, Meiling,Xie, Hehu,Xie, Manting. A cascadic multigrid method for nonsymmetric eigenvalue problem[J]. APPLIED NUMERICAL MATHEMATICS,2019,146:55-72.
APA Yue, Meiling,Xie, Hehu,&Xie, Manting.(2019).A cascadic multigrid method for nonsymmetric eigenvalue problem.APPLIED NUMERICAL MATHEMATICS,146,55-72.
MLA Yue, Meiling,et al."A cascadic multigrid method for nonsymmetric eigenvalue problem".APPLIED NUMERICAL MATHEMATICS 146(2019):55-72.
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