Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods | |
Yin, Xiaobo1; Xie, Hehu1; Jia, Shanghui2; Gao, Shaoqin3 | |
刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
2008-05-15 | |
卷号 | 215期号:1页码:127-141 |
关键词 | mixed finite element stokes eigenvalue problem asymptotic expansion extrapolation |
ISSN号 | 0377-0427 |
DOI | 10.1016/j.cam.2007.03.028 |
英文摘要 | This paper derives a general procedure to produce an asymptotic expansion for eigenvalues of the Stokes problem by mixed finite elements. By means of integral expansion technique, the asymptotic error expansions for the approximations of the Stokes eigenvalue problem by Bernadi-Raugel element and Q(2) - P-1 element are given. Based on such expansions, the extrapolation technique is applied to improve the accuracy of the approximations. (C) 2007 Elsevier B.V. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE BV |
WOS记录号 | WOS:000254808700010 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6638] |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Yin, Xiaobo |
作者单位 | 1.CAS, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China 2.Cent Univ Finance & Econ, Sch Appl Math, 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 | Yin, Xiaobo,Xie, Hehu,Jia, Shanghui,et al. Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2008,215(1):127-141. |
APA | Yin, Xiaobo,Xie, Hehu,Jia, Shanghui,&Gao, Shaoqin.(2008).Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,215(1),127-141. |
MLA | Yin, Xiaobo,et al."Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 215.1(2008):127-141. |
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