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

文献类型：期刊论文

作者Jia, Shanghui1; Xie, Hehu2; Yin, Xiaobo2; Gao, Shaoqin3
刊名APPLICATIONS OF MATHEMATICS
出版日期2009-02-01
卷号54期号:1页码:1-15
关键词Stokes eigenvalue problem stream function-vorticity-pressure method asymptotic expansion extrapolation a posteriori error estimates nonconforming finite element methods
ISSN号0862-7940
DOI10.1007/s10492-009-0001-0
英文摘要In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, Q (1) (rot) and EQ (1) (rot) . 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.
资助项目National Natural Science Foundation of China[10471103] ; National Basic Research Program of China[2005CB321701]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000263057800001
出版者ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8180]  
专题计算数学与科学工程计算研究所
通讯作者Jia, Shanghui
作者单位1.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, 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,Xie, Hehu,Yin, Xiaobo,et al. Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods[J]. APPLICATIONS OF MATHEMATICS,2009,54(1):1-15.
APA Jia, Shanghui,Xie, Hehu,Yin, Xiaobo,&Gao, Shaoqin.(2009).Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods.APPLICATIONS OF MATHEMATICS,54(1),1-15.
MLA Jia, Shanghui,et al."Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods".APPLICATIONS OF MATHEMATICS 54.1(2009):1-15.

入库方式： OAI收割

来源：数学与系统科学研究院

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