A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem
文献类型：期刊论文
| 作者 | Jia Shang Hui3; Luo Fu Sheng1; Xie He Hu2 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2014 |
| 卷号 | 30期号:6页码:949-967 |
| 关键词 | FINITE-ELEMENT APPROXIMATIONS EQUATIONS CONVERGENCE ESTIMATORS A posteriori error estimate adaptive finite element method nonconforming Stokes eigenvalue problem |
| ISSN号 | 1439-8516 |
| 其他题名 | A Posterior Error Analysis for the Nonconforming Discretization of Stokes Eigenvalue Problem |
| 英文摘要 | In this paper, we present a posteriori error estimator for the nonconforming finite element approximation, including using Crouzeix-Raviart element and extended Crouzeix-Raviart element, of the Stokes eigenvalue problem. With the technique of Helmholtz decomposition, we first give out a posteriori error estimator and prove it as the global upper bound and local lower bound of the approximation error. Then, by deleting a jump term in the indicator, another simpler but equivalent indicator is obtained. Some numerical experiments are provided to verify our analysis. |
| 资助项目 | [National Science Foundation of China] ; [National Center for Mathematics and Interdisciplinary Science] ; [CAS] ; [President Foundation of AMSS-CAS] ; [Program for Innovation Research in Central University of Finance and Economics] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5129729 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/54736]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.同济大学 2.中国科学院数学与系统科学研究院 3.Cent University Finance & Econ, Sch Stat & Math, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jia Shang Hui,Luo Fu Sheng,Xie He Hu. A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2014,30(6):949-967. |
| APA | Jia Shang Hui,Luo Fu Sheng,&Xie He Hu.(2014).A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem.ACTA MATHEMATICA SINICA-ENGLISH SERIES,30(6),949-967. |
| MLA | Jia Shang Hui,et al."A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem".ACTA MATHEMATICA SINICA-ENGLISH SERIES 30.6(2014):949-967. |
入库方式： OAI收割
来源：数学与系统科学研究院
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