A NOTE ON THE NONCONFORMING FINITE ELEMENTS FOR ELLIPTIC PROBLEMS

doi:10.4208/jcm.1009-m3246

	A NOTE ON THE NONCONFORMING FINITE ELEMENTS FOR ELLIPTIC PROBLEMS
	Gao, Boran 1; Zhang, Shuo2 ; Wang, Ming 1
	2011-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	29 期号:2 页码:215-226
摘要	In this paper, a class of rectangular finite elements for 2m-th-oder elliptic boundary value problems in n-dimension (m, n >= 1) is proposed in a canonical fashion, which includes the (2m - 1)-th Hermite interpolation element (n = 1), the n-linear finite element (m = 1) and the Adini element (m = 2). A nonconforming triangular finite element for the plate bending problem, with convergent order O(h(2)), is also proposed.
关键词	Nonconforming finite element Elliptic boundary value problem Plate bending problem
DOI	10.4208/jcm.1009-m3246
语种	英语
资助项目	National Natural Science Foundation of China[10871011]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000288688700006
出版者	GLOBAL SCIENCE 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/12146
专题	计算数学与科学工程计算研究所
通讯作者	Gao, Boran
作者单位	1.Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China 2.Chinese Acad Sci, AMSS, ICMSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Gao, Boran,Zhang, Shuo,Wang, Ming. A NOTE ON THE NONCONFORMING FINITE ELEMENTS FOR ELLIPTIC PROBLEMS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2011,29(2):215-226.
APA	Gao, Boran,Zhang, Shuo,&Wang, Ming.(2011).A NOTE ON THE NONCONFORMING FINITE ELEMENTS FOR ELLIPTIC PROBLEMS.JOURNAL OF COMPUTATIONAL MATHEMATICS,29(2),215-226.
MLA	Gao, Boran,et al."A NOTE ON THE NONCONFORMING FINITE ELEMENTS FOR ELLIPTIC PROBLEMS".JOURNAL OF COMPUTATIONAL MATHEMATICS 29.2(2011):215-226.