A full multigrid method for eigenvalue problems

doi:10.1016/j.jcp.2016.07.009

	A full multigrid method for eigenvalue problems
	Chen, Hongtao 1; Xie, Hehu2 ; Xu, Fei 3
	2016-10-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	322 页码:747-759
摘要	In this paper, a full (nested) multigrid scheme is proposed to solve eigenvalue problems. The idea here is to use a correction method to transform the eigenvalue problem solving to a series of corresponding boundary value problem solving and eigenvalue problems defined on a very low-dimensional finite element space. The boundary value problems which are defined on a sequence of multilevel finite element spaces can be solved by some multigrid iteration steps. The computational work of this new scheme can reach the same optimal order as solving the corresponding boundary value problem by the full multigrid method. Therefore, this type of full multigrid method improves the overfull efficiency of the eigenvalue problem solving. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Eigenvalue problem Full multigrid method Multilevel correction Finite element method
DOI	10.1016/j.jcp.2016.07.009
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[91330202] ; National Natural Science Foundation of China (NSFC)[11371026] ; National Natural Science Foundation of China (NSFC)[11001259] ; National Natural Science Foundation of China (NSFC)[11031006] ; National Natural Science Foundation of China (NSFC)[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000381585100037
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23372
专题	计算数学与科学工程计算研究所
通讯作者	Xie, Hehu
作者单位	1.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China 3.Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
推荐引用方式 GB/T 7714	Chen, Hongtao,Xie, Hehu,Xu, Fei. A full multigrid method for eigenvalue problems[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2016,322:747-759.
APA	Chen, Hongtao,Xie, Hehu,&Xu, Fei.(2016).A full multigrid method for eigenvalue problems.JOURNAL OF COMPUTATIONAL PHYSICS,322,747-759.
MLA	Chen, Hongtao,et al."A full multigrid method for eigenvalue problems".JOURNAL OF COMPUTATIONAL PHYSICS 322(2016):747-759.