An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests

doi:10.4208/eajam.210918.090519

CSpace

	An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests
	Zhang, Ning 1; Han, Xiaole 2; He, Yunhui 3; Xie, Hehu 4,5; You, Chun'guang 6
	2021-02-01
发表期刊	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
卷号	11 期号:1 页码:1-19
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.
关键词	Algebraic multigrid multilevel correction eigenvalue problem
DOI	10.4208/eajam.210918.090519
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000593119800001
出版者	GLOBAL SCIENCE 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/52532
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, Inst Elect Engn, 6 Beiertiao, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 3.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 6.CAEP Software Ctr High Performance Numer Simulat, Beijing 100088, 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.