A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods

doi:10.1007/s10543-015-0545-1

	A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods
	Xie, Hehu
	2015-12-01
发表期刊	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
卷号	55 期号:4 页码:1243-1266
摘要	In this paper, a type of multi-level correction scheme is proposed to solve eigenvalue problems by nonconforming finite element methods. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an eigenvalue problem on a coarse finite element space. This correction scheme can improve the efficiency of solving eigenvalue problems by the nonconforming finite element method. Furthermore, the same as the direct eigenvalue solving by the nonconforming finite element method, this multi-level correction method can also produce the lower-bound approximations of the eigenvalues.
关键词	Eigenvalue problem Multi-level correction Multigrid Finite element method
DOI	10.1007/s10543-015-0545-1
语种	英语
资助项目	National Science Foundation of China[NSFC 91330202] ; National Science Foundation of China[11371026] ; National Science Foundation of China[11001259] ; National Science Foundation of China[11201501] ; National Science Foundation of China[11031006] ; National Science Foundation of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science, CAS ; President Foundation of AMSS-CAS
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000366634300017
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21531
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	Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xie, Hehu. A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods[J]. BIT NUMERICAL MATHEMATICS,2015,55(4):1243-1266.
APA	Xie, Hehu.(2015).A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods.BIT NUMERICAL MATHEMATICS,55(4),1243-1266.
MLA	Xie, Hehu."A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods".BIT NUMERICAL MATHEMATICS 55.4(2015):1243-1266.