Convergence and superconvergence of a nonconforming finite element on anisotropic meshes

	Convergence and superconvergence of a nonconforming finite element on anisotropic meshes
	Mao, Shipeng; Chen, Shaochun ; Shi, Dongyang
	2007
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	4 期号:1 页码:16-38
摘要	The main aim of this paper is to study the error estimates of a nonconforming finite element for general second order problems, in particular, the super convergence properties under aniso tropic meshes. Some extrapolation results on rectangular mehes are also discussed. Finally, numerical results are presented, which coincides with our theoretical analysis perfectly.
关键词	nonconforming finite element anisotropic meshes superconvergence extrapolation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000242811300002
出版者	ISCI-INSTITUTE SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4932
专题	计算数学与科学工程计算研究所
通讯作者	Mao, Shipeng
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
推荐引用方式 GB/T 7714	Mao, Shipeng,Chen, Shaochun,Shi, Dongyang. Convergence and superconvergence of a nonconforming finite element on anisotropic meshes[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2007,4(1):16-38.
APA	Mao, Shipeng,Chen, Shaochun,&Shi, Dongyang.(2007).Convergence and superconvergence of a nonconforming finite element on anisotropic meshes.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,4(1),16-38.
MLA	Mao, Shipeng,et al."Convergence and superconvergence of a nonconforming finite element on anisotropic meshes".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 4.1(2007):16-38.