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

doi:10.1002/num.20268

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	Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods
	Jia, Shanghui 1; Me, Hehu 2; Yin, Xiaobo 2; Gao, Shaoqin 3
	2008-03-01
发表期刊	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0749-159X
卷号	24 期号:2 页码:435-448
摘要	In this paper, we analyze the biharmonic eigenvalue problem by two nonconforming finite elements, Q(1)(rot) and EQ(1)(rot). We obtain full order convergence rate of the eigenvalue approximations for the biharmonic eigenvalue problem based on asymptotic error expansions for these two nonconforming finite elements. 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. (c) 2007 Wiley Periodicals, Inc.
关键词	asymptotic expansions biharmonic eigenvalue problem extrapolation nonconforming finite element methods
DOI	10.1002/num.20268
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000253245200006
出版者	JOHN WILEY & SONS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5511
专题	中国科学院数学与系统科学研究院
通讯作者	Jia, Shanghui
作者单位	1.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China 2.CAS, Acad Math & Syst Sci, ICMSEC, LSEC, 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	Jia, Shanghui,Me, Hehu,Yin, Xiaobo,et al. Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2008,24(2):435-448.
APA	Jia, Shanghui,Me, Hehu,Yin, Xiaobo,&Gao, Shaoqin.(2008).Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,24(2),435-448.
MLA	Jia, Shanghui,et al."Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 24.2(2008):435-448.