On the error bounds of nonconforming finite elements

doi:10.1007/s11425-010-3120-x

	On the error bounds of nonconforming finite elements
	Mao ShiPeng; Shi ZhongCi
	2010-11-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	53 期号:11 页码:2917-2926
摘要	We prove that the error estimates of a large class of nonconforming finite elements are dominated by their approximation errors, which means that the well-known Cea's lemma is still valid for these nonconforming finite element methods. Furthermore, we derive the error estimates in both energy and L(2) norms under the regularity assumption u is an element of H(1+s)(Omega) with any s > 0. The extensions to other related problems are possible.
关键词	nonconforming finite elements Cea's lemma error estimates
DOI	10.1007/s11425-010-3120-x
语种	英语
资助项目	Special Funds for Major State Basic Research Project[2005CB321701]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000284382200010
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9544
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	Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Mao ShiPeng,Shi ZhongCi. On the error bounds of nonconforming finite elements[J]. SCIENCE CHINA-MATHEMATICS,2010,53(11):2917-2926.
APA	Mao ShiPeng,&Shi ZhongCi.(2010).On the error bounds of nonconforming finite elements.SCIENCE CHINA-MATHEMATICS,53(11),2917-2926.
MLA	Mao ShiPeng,et al."On the error bounds of nonconforming finite elements".SCIENCE CHINA-MATHEMATICS 53.11(2010):2917-2926.