A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem

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	A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem
其他题名	A Posterior Error Analysis for the Nonconforming Discretization of Stokes Eigenvalue Problem
	Jia Shang Hui 1; Luo Fu Sheng 2; Xie He Hu 3
	2014
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	30 期号:6 页码:949-967
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.
其他摘要	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.
关键词	FINITE-ELEMENT APPROXIMATIONS EQUATIONS CONVERGENCE ESTIMATORS A posteriori error estimate adaptive finite element method nonconforming Stokes eigenvalue problem
收录类别	CSCD
语种	英语
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]
CSCD记录号	CSCD:5129729
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/54737
专题	中国科学院数学与系统科学研究院
作者单位	1.Cent University Finance & Econ, Sch Stat & Math, Beijing 100081, Peoples R China 2.同济大学 3.中国科学院数学与系统科学研究院
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.