A multilevel correction method for Stokes eigenvalue problems and its applications

doi:10.1002/mma.2866

	A multilevel correction method for Stokes eigenvalue problems and its applications
	Lin, Qun; Luo, Fusheng; Xie, Hehu
	2015-12-01
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	38 期号:18 页码:4540-4552
摘要	In this paper, a new multilevel correction scheme is proposed to solve Stokes eigenvalue problems by the finite element method. This new scheme contains a series of correction steps, and the accuracy of eigenpair approximation can be improved after each step. In each correction step, we only need to solve a Stokes problem on the corresponding fine finite element space and a Stokes eigenvalue problem on the coarsest finite element space. This correction scheme can improve the efficiency of solving Stokes eigenvalue problems by the finite element method. As applications of this multilevel correction method, a multigrid method and an adaptive finite element technique are introduced for Stokes eigenvalue problems. Some numerical results are given to validate our schemes. Copyright (C) 2013 John Wiley & Sons, Ltd.
关键词	Stokes eigenvalue problem finite element method multilevel correction multigrid adaptive technique
DOI	10.1002/mma.2866
语种	英语
资助项目	National Science Foundation of China[NSFC 11001259] ; National Science Foundation of China[11031006] ; National Science Foundation of China[2011CB309703] ; national Center for Mathematics and Interdisciplinary Science ; President Foundation of AMSS-CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000368252300008
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21743
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, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lin, Qun,Luo, Fusheng,Xie, Hehu. A multilevel correction method for Stokes eigenvalue problems and its applications[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2015,38(18):4540-4552.
APA	Lin, Qun,Luo, Fusheng,&Xie, Hehu.(2015).A multilevel correction method for Stokes eigenvalue problems and its applications.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,38(18),4540-4552.
MLA	Lin, Qun,et al."A multilevel correction method for Stokes eigenvalue problems and its applications".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 38.18(2015):4540-4552.