Extrapolation and superconvergence of the Steklov eigenvalue problem

doi:10.1007/s10444-009-9118-7

	Extrapolation and superconvergence of the Steklov eigenvalue problem
	Li, Mingxia 1; Lin, Qun1 ; Zhang, Shuhua 2
	2010-07-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	33 期号:1 页码:25-44
摘要	On the basis of a transform lemma, an asymptotic expansion of the bilinear finite element is derived over graded meshes for the Steklov eigenvalue problem, such that the Richardson extrapolation can be applied to increase the accuracy of the approximation, from which the approximation of O(h(3.5)) is obtained. In addition, by means of the Rayleigh quotient acceleration technique and an interpolation postprocessing method, the superconvergence of the bilinear finite element is presented over graded meshes for the Steklov eigenvalue problem, and the approximation of O(h(3)) is gained. Finally, numerical experiments are provided to demonstrate the theoretical results.
关键词	The Steklov eigenvalue problem Graded meshes Richardson extrapolation Superconvergence A posteriori error estimators
DOI	10.1007/s10444-009-9118-7
语种	英语
资助项目	National Basic Research Program of China[2007CB814906] ; National Natural Science Foundation of China[10471103] ; National Natural Science Foundation of China[10771158] ; Ministry of Education of China[06JA630047] ; Tianjin Natural Science Foundation[07JCYBJC14300] ; Tianjin University of Finance and Economics
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000277592700002
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/10726
专题	计算数学与科学工程计算研究所
通讯作者	Li, Mingxia
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Tianjin Univ Finance & Econ, Res Ctr Math & Econ, Tianjin 300222, Peoples R China
推荐引用方式 GB/T 7714	Li, Mingxia,Lin, Qun,Zhang, Shuhua. Extrapolation and superconvergence of the Steklov eigenvalue problem[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2010,33(1):25-44.
APA	Li, Mingxia,Lin, Qun,&Zhang, Shuhua.(2010).Extrapolation and superconvergence of the Steklov eigenvalue problem.ADVANCES IN COMPUTATIONAL MATHEMATICS,33(1),25-44.
MLA	Li, Mingxia,et al."Extrapolation and superconvergence of the Steklov eigenvalue problem".ADVANCES IN COMPUTATIONAL MATHEMATICS 33.1(2010):25-44.