Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods

doi:10.1016/j.cam.2007.03.028

	Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods
	Yin, Xiaobo 1; Xie, Hehu1 ; Jia, Shanghui 2; Gao, Shaoqin 3
	2008-05-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	215 期号:1 页码:127-141
摘要	This paper derives a general procedure to produce an asymptotic expansion for eigenvalues of the Stokes problem by mixed finite elements. By means of integral expansion technique, the asymptotic error expansions for the approximations of the Stokes eigenvalue problem by Bernadi-Raugel element and Q(2) - P-1 element are given. Based on such expansions, the extrapolation technique is applied to improve the accuracy of the approximations. (C) 2007 Elsevier B.V. All rights reserved.
关键词	mixed finite element stokes eigenvalue problem asymptotic expansion extrapolation
DOI	10.1016/j.cam.2007.03.028
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000254808700010
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6639
专题	计算数学与科学工程计算研究所
通讯作者	Yin, Xiaobo
作者单位	1.CAS, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China 2.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China 3.Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China
推荐引用方式 GB/T 7714	Yin, Xiaobo,Xie, Hehu,Jia, Shanghui,et al. Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2008,215(1):127-141.
APA	Yin, Xiaobo,Xie, Hehu,Jia, Shanghui,&Gao, Shaoqin.(2008).Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,215(1),127-141.
MLA	Yin, Xiaobo,et al."Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 215.1(2008):127-141.