CSpace  > 计算数学与科学工程计算研究所
 A cascadic multigrid method for nonsymmetric eigenvalue problem Yue, Meiling1; Xie, Hehu2,3; Xie, Manting4 2019-12-01 Source Publication APPLIED NUMERICAL MATHEMATICS ISSN 0168-9274 Volume 146Pages:55-72 Abstract In 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. Keyword Nonsymmetric eigenvalue problem Cascadic multigrid Multilevel correction method Finite element method DOI 10.1016/j.apnum.2019.07.007 Language 英语 Funding Project Research 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 Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000488657900004 Publisher ELSEVIER Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/35940 Collection 计算数学与科学工程计算研究所 Corresponding Author Xie, Manting Affiliation 1.Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China4.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China Recommended CitationGB/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.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Yue, Meiling]'s Articles [Xie, Hehu]'s Articles [Xie, Manting]'s Articles Baidu academic Similar articles in Baidu academic [Yue, Meiling]'s Articles [Xie, Hehu]'s Articles [Xie, Manting]'s Articles Bing Scholar Similar articles in Bing Scholar [Yue, Meiling]'s Articles [Xie, Hehu]'s Articles [Xie, Manting]'s Articles Terms of Use No data! Social Bookmark/Share