Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements

doi:10.1007/s13160-017-0291-7

	Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
	Xie, Manting 1; Xie, Hehu2,3 ; Liu, Xuefeng 4
	2018-03-01
发表期刊	JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
ISSN	0916-7005
卷号	35 期号:1 页码:335-354
摘要	An algorithm is proposed to give explicit lower bounds of the Stokes eigenvalues by utilizing two nonconforming finite element methods: Crouzeix-Raviart (CR) element and enriched Crouzeix-Raviart (ECR) element. Compared with the existing literatures which give lower eigenvalue bounds under the asymptotic condition that the mesh size is "small enough", the proposed algorithm in this paper drops the asymptotic condition and provide explicit lower bounds even for a rough mesh. Numerical experiments are also performed to validate the theoretical results.
关键词	Stokes eigenvalue problem Eigenvalue bound Crouzeix-Raviart element Enriched Crouzeix-Raviart element Explicit lower bound
DOI	10.1007/s13160-017-0291-7
语种	英语
资助项目	National Science Foundations of China[NSFC 91730302] ; National Science Foundations of China[11771434] ; National Science Foundations of China[91330202] ; National Science Foundations of China[11371026] ; Science Challenge Project[TZ2016002] ; National Center for Mathematics and Interdisciplinary Science, CAS ; Japan Society for the Promotion of Science[26800090] ; Japan Society for the Promotion of Science[16H03950]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000426279600016
出版者	SPRINGER JAPAN KK
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29604
专题	计算数学与科学工程计算研究所
通讯作者	Liu, Xuefeng
作者单位	1.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Niigata Univ, Grad Sch Sci & Technol, Nishi Ku, 8050 Ikarashi 2 No Cho, Niigata, Niigata 9502181, Japan
推荐引用方式 GB/T 7714	Xie, Manting,Xie, Hehu,Liu, Xuefeng. Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,2018,35(1):335-354.
APA	Xie, Manting,Xie, Hehu,&Liu, Xuefeng.(2018).Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements.JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,35(1),335-354.
MLA	Xie, Manting,et al."Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements".JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 35.1(2018):335-354.