A PARALLEL AUGMENTED SUBSPACE METHOD FOR EIGENVALUE PROBLEMS

doi:10.1137/19M128452X

CSpace

	A PARALLEL AUGMENTED SUBSPACE METHOD FOR EIGENVALUE PROBLEMS
	Xu, Fei 1; Xie, Hehu 2,3; Zhang, Ning 4
	2020
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	42 期号:5 页码:A2655-A2677
摘要	A type of parallel augmented subspace scheme for eigenvalue problems is proposed by using coarse space in the multigrid method. With the help of coarse space in the multigrid method, solving the eigenvalue problem in the finest space is decomposed into solving the standard linear boundary value problems and very-low-dimensional eigenvalue problems. The computational efficiency can be improved since there is no direct eigenvalue solving in the finest space and the multigrid method can act as the solver for the deduced linear boundary value problems. Furthermore, for different eigenvalues, the corresponding boundary value problem and low-dimensional eigenvalue problem can be solved in the parallel way since they are independent of each other and there exists no data exchanging. This property means that we do not need to do the orthogonalization in the highest-dimensional spaces. This is the main aim of this paper since avoiding orthogonalization can improve the scalability of the proposed numerical method. Some numerical examples are provided to validate the proposed parallel augmented subspace method.
关键词	eigenvalue problems parallel augmented subspace method multigrid method parallel computing
DOI	10.1137/19M128452X
收录类别	SCI
语种	英语
资助项目	National Key Research and Development Program of China[2019YFA0709601] ; National Natural Science Foundations of China (NSFC)[11771434] ; National Natural Science Foundations of China (NSFC)[11801021] ; National Natural Science Foundations of China (NSFC)[91730302] ; National Natural Science Foundations of China (NSFC)[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:000600650100028
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57883
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Fei
作者单位	1.Beijing Univ Technol, Fac Sci, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC,NCMIS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Inst Elect Engn, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu, Fei,Xie, Hehu,Zhang, Ning. A PARALLEL AUGMENTED SUBSPACE METHOD FOR EIGENVALUE PROBLEMS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2020,42(5):A2655-A2677.
APA	Xu, Fei,Xie, Hehu,&Zhang, Ning.(2020).A PARALLEL AUGMENTED SUBSPACE METHOD FOR EIGENVALUE PROBLEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,42(5),A2655-A2677.
MLA	Xu, Fei,et al."A PARALLEL AUGMENTED SUBSPACE METHOD FOR EIGENVALUE PROBLEMS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 42.5(2020):A2655-A2677.