A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods

doi:10.4208/nmtma.2015.m1334

	A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
	Han, Xiaole 1; Li, Yu 2; Xie, Hehu3
	2015-08-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	8 期号:3 页码:383-405
摘要	In this paper, a multilevel correction scheme is proposed to solve the Steklov eigenvalue problem 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 Steklov eigenvalue problem on the coarsest finite element space. This correction scheme can increase the overall efficiency of solving eigenvalue problems by the nonconforming finite element method. Furthermore, as same as the direct eigenvalue solving by nonconforming finite element methods, this multilevel correction method can also produce the lower-bound approximations of the eigenvalues.
关键词	Steklov eigenvalue problem multilevel correction nonconforming finite element method
DOI	10.4208/nmtma.2015.m1334
语种	英语
资助项目	National Science Foundations of China[NSFC 91330202] ; National Science Foundations of China[11001259] ; National Science Foundations of China[11371026] ; National Science Foundations of China[11201501] ; National Science Foundations of China[11031006] ; National Science Foundations of China[2011CB309703] ; Croucher Foundation of Hong Kong Baptist University ; National Center for Mathematics and Interdisciplinary Science ; CAS ; President Foundation of AMSS-CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000359317100004
出版者	CAMBRIDGE UNIV 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/20501
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.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 2.Tianjin Univ Finance & Econ, Res Ctr Math & Econ, Tianjin 300222, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Han, Xiaole,Li, Yu,Xie, Hehu. A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2015,8(3):383-405.
APA	Han, Xiaole,Li, Yu,&Xie, Hehu.(2015).A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,8(3),383-405.
MLA	Han, Xiaole,et al."A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 8.3(2015):383-405.