aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem

	aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem
	Jia Shanghui 1; Luo Fusheng 2; Xie Hehu3
	2014
发表期刊	actamathematicasinicaenglishseries
ISSN	1439-8516
卷号	30 期号:6 页码:949
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.
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]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/41584
专题	计算数学与科学工程计算研究所
作者单位	1.中央财经大学 2.The Third Institute of Oceanography, SOA 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 Shanghui,Luo Fusheng,Xie Hehu. aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem[J]. actamathematicasinicaenglishseries,2014,30(6):949.
APA	Jia Shanghui,Luo Fusheng,&Xie Hehu.(2014).aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem.actamathematicasinicaenglishseries,30(6),949.
MLA	Jia Shanghui,et al."aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem".actamathematicasinicaenglishseries 30.6(2014):949.