An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests
文献类型：期刊论文
| 作者 | Zhang, Ning3; Han, Xiaole4; He, Yunhui5; Xie, Hehu1,6; You, Chun'guang2 |
| 刊名 | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2021-02-01 |
| 卷号 | 11期号:1页码:1-19 |
| ISSN号 | 2079-7362 |
| 关键词 | Algebraic multigrid multilevel correction eigenvalue problem |
| DOI | 10.4208/eajam.210918.090519 |
| 英文摘要 | In order to solve eigenvalue problems, an algebraic multigrid method based on a multilevel correction scheme and the algebraic multigrid method for linear equations is developed. The algebraic multigrid method setup procedure is used for construction of an hierarchy and intergrid transfer operators. In this approach, large scale eigenvalue problems are solved by algebraic multigrid smoothing steps in the hierarchy and by low-dimensional eigenvalue problems. The efficacy and flexibility of the method is demonstrated by a number of test examples and the global convergence, which does not depend on the number of eigenvalues wanted, is obtained. |
| 资助项目 | National Key Research and Development Program of China[2019YFA0709601] ; Science Challenge Project[TZ2016002] ; Beijing Natural Science Foundation[Z200003] ; National Natural Science Foundations of China[NSFC 11771434] ; National Natural Science Foundations of China[11801021] ; National Natural Science Foundations of China[91730302] ; National Natural Science Foundations of China[91630201] ; National Center for Mathematics and Interdisciplinary Science, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | GLOBAL SCIENCE PRESS |
| WOS记录号 | WOS:000593119800001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52531]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | You, Chun'guang |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.CAEP Software Ctr High Performance Numer Simulat, Beijing 100088, Peoples R China 3.Chinese Acad Sci, Inst Elect Engn, 6 Beiertiao, Beijing 100190, Peoples R China 4.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 5.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 6.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Ning,Han, Xiaole,He, Yunhui,et al. An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2021,11(1):1-19. |
| APA | Zhang, Ning,Han, Xiaole,He, Yunhui,Xie, Hehu,&You, Chun'guang.(2021).An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,11(1),1-19. |
| MLA | Zhang, Ning,et al."An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 11.1(2021):1-19. |
入库方式： OAI收割
来源：数学与系统科学研究院
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