A cascadic multigrid method for nonsymmetric eigenvalue problem | |
Yue, Meiling1; Xie, Hehu2,3; Xie, Manting4 | |
刊名 | APPLIED NUMERICAL MATHEMATICS |
2019-12-01 | |
卷号 | 146页码:55-72 |
关键词 | Nonsymmetric eigenvalue problem Cascadic multigrid Multilevel correction method Finite element method |
ISSN号 | 0168-9274 |
DOI | 10.1016/j.apnum.2019.07.007 |
英文摘要 | 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. |
资助项目 | 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研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER |
WOS记录号 | WOS:000488657900004 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35939] |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Xie, Manting |
作者单位 | 1.Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China 4.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China |
推荐引用方式 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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