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A PARALLEL AUGMENTED SUBSPACE METHOD FOR EIGENVALUE PROBLEMS

文献类型：期刊论文

作者Xu, Fei1; Xie, Hehu2,3; Zhang, Ning4
刊名SIAM JOURNAL ON SCIENTIFIC COMPUTING
出版日期2020
卷号42期号:5页码:A2655-A2677
ISSN号1064-8275
关键词eigenvalue problems parallel augmented subspace method multigrid method parallel computing
DOI10.1137/19M128452X
英文摘要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.
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
语种英语
出版者SIAM PUBLICATIONS
WOS记录号WOS:000600650100028
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57882]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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