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Extrapolation and superconvergence of the Steklov eigenvalue problem

文献类型：期刊论文

作者Li, Mingxia1; Lin, Qun1; Zhang, Shuhua2
刊名ADVANCES IN COMPUTATIONAL MATHEMATICS
出版日期2010-07-01
卷号33期号:1页码:25-44
关键词The Steklov eigenvalue problem Graded meshes Richardson extrapolation Superconvergence A posteriori error estimators
ISSN号1019-7168
DOI10.1007/s10444-009-9118-7
英文摘要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.
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
语种英语
WOS记录号WOS:000277592700002
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10725]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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