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A multilevel correction method for Stokes eigenvalue problems and its applications
Lin, Qun; Luo, Fusheng; Xie, Hehu
2015-12-01
Source PublicationMATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
Volume38Issue:18Pages:4540-4552
AbstractIn 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.
KeywordStokes eigenvalue problem finite element method multilevel correction multigrid adaptive technique
DOI10.1002/mma.2866
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000368252300008
PublisherWILEY-BLACKWELL
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21743
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Recommended Citation
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.
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