Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme

doi:10.1007/s10444-007-9031-x

	Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme
	Chen, Wei ; Lin, Qun
	2007-07-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	27 期号:1 页码:95-106
摘要	We propose and analyze the Ciarlet-Raviart mixed scheme for solving the biharmonic eigenvalue problem with bilinear finite elements. We derive a higher order convergence rate for eigenvalue and eigenfunction approximations. Furthermore, we give an asymptotic expansion of the eigenvalue error, from which an efficient extrapolation and an a posteriori error estimate for the eigenvalue are given. Finally, numerical experiments illustrating the theoretical results are reported.
关键词	eigenvalue problem biharmonic equation Ciarlet-Raviart scheme asymptotic expansion extrapolation a posteriori error estimate
DOI	10.1007/s10444-007-9031-x
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000247383500005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5135
专题	计算数学与科学工程计算研究所
作者单位	1.Shandong Univ, Sch Econ, Jinan 250100, Peoples R China 2.Acad Sinica, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Wei,Lin, Qun. Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2007,27(1):95-106.
APA	Chen, Wei,&Lin, Qun.(2007).Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme.ADVANCES IN COMPUTATIONAL MATHEMATICS,27(1),95-106.
MLA	Chen, Wei,et al."Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme".ADVANCES IN COMPUTATIONAL MATHEMATICS 27.1(2007):95-106.