A new a priori error estimate of nonconforming finite element methods

CSpace

	A new a priori error estimate of nonconforming finite element methods
其他题名	A new a priori error estimate of nonconforming finite element methods
	Hu Jun 1; Ma Rui 1; Shi ZhongCi 2
	2014-01-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	57 期号:5 页码:887-902
摘要	This paper is devoted to a new error analysis of nonconforming finite element methods. Compared with the classic error analysis in literature, only weak continuity, the F-E-M-Test for nonconforming finite element spaces, and basic H (m) regularity for exact solutions of 2m-th order elliptic problems under consideration are assumed. The analysis is motivated by ideas from a posteriori error estimates and projection average operators. One main ingredient is a novel decomposition for some key average terms on (n - 1)-dimensional faces by introducing a piecewise constant projection, which defines the generalization to more general nonconforming finite elements of the results in literature. The analysis and results herein are conjectured to apply for all nonconforming finite elements in literature.
其他摘要	This paper is devoted to a new error analysis of nonconforming finite element methods.Compared with the classic error analysis in literature,only weak continuity,the F-E-M-Test for nonconforming finite element spaces,and basic H~m regularity for exact solutions of 2m-th order elliptic problems under consideration are assumed.The analysis is motivated by ideas from a posteriori error estimates and projection average operators.One main ingredient is a novel decomposition for some key average terms on(n.1)-dimensional faces by introducing a piecewise constant projection,which defines the generalization to more general nonconforming finite elements of the results in literature.The analysis and results herein are conjectured to apply for all nonconforming finite elements in literature.
关键词	nonconforming finite element consistency error error estimate
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:5118877
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/53869
专题	中国科学院数学与系统科学研究院
作者单位	1.北京大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Hu Jun,Ma Rui,Shi ZhongCi. A new a priori error estimate of nonconforming finite element methods[J]. SCIENCE CHINA-MATHEMATICS,2014,57(5):887-902.
APA	Hu Jun,Ma Rui,&Shi ZhongCi.(2014).A new a priori error estimate of nonconforming finite element methods.SCIENCE CHINA-MATHEMATICS,57(5),887-902.
MLA	Hu Jun,et al."A new a priori error estimate of nonconforming finite element methods".SCIENCE CHINA-MATHEMATICS 57.5(2014):887-902.