Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods

doi:10.1007/s10492-009-0001-0

	Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
	Jia, Shanghui 1; Xie, Hehu2 ; Yin, Xiaobo 2; Gao, Shaoqin 3
	2009-02-01
发表期刊	APPLICATIONS OF MATHEMATICS
ISSN	0862-7940
卷号	54 期号:1 页码:1-15
摘要	In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, Q (1) (rot) and EQ (1) (rot) . Using the technique of eigenvalue error expansion, the technique of integral identities and the extrapolation method, we can improve the accuracy of the eigenvalue approximations.
关键词	Stokes eigenvalue problem stream function-vorticity-pressure method asymptotic expansion extrapolation a posteriori error estimates nonconforming finite element methods
DOI	10.1007/s10492-009-0001-0
语种	英语
资助项目	National Natural Science Foundation of China[10471103] ; National Basic Research Program of China[2005CB321701]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000263057800001
出版者	ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8181
专题	计算数学与科学工程计算研究所
通讯作者	Jia, Shanghui
作者单位	1.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China
推荐引用方式 GB/T 7714	Jia, Shanghui,Xie, Hehu,Yin, Xiaobo,et al. Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods[J]. APPLICATIONS OF MATHEMATICS,2009,54(1):1-15.
APA	Jia, Shanghui,Xie, Hehu,Yin, Xiaobo,&Gao, Shaoqin.(2009).Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods.APPLICATIONS OF MATHEMATICS,54(1),1-15.
MLA	Jia, Shanghui,et al."Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods".APPLICATIONS OF MATHEMATICS 54.1(2009):1-15.