Anisotropic conforming rectangular elements for elliptic problems of any order

doi:10.1016/j.apnum.2008.05.004

	Anisotropic conforming rectangular elements for elliptic problems of any order
	Chen, Shaochun 2; Yang, Yongqin 2; Mao, Shipeng1
	2009-05-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	59 期号:5 页码:1137-1148
摘要	In this paper two sets of C(N-1) conforming rectangular elements for linear elliptic problems of order 2N, N >= 1, are presented. One is b(i) - (2N - 1) element, well known b(i)-linear element and b(i)-cubic C(1) element (Bogner-Fox-Schmit) correspond to N = 1 and N = 2, respectively. Another one is b(i) - 2N element, well known b(i)-quadratic element corresponds to N = 1. The anisotropic error estimates are proved by the Newton's formulas for Hermite interpolation in two dimension and the special properties of the divided differences with coincident knots presented in this paper. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Anisotropic Hermite interpolation Divided difference with coincident knots Elliptic problem of any order
DOI	10.1016/j.apnum.2008.05.004
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000264925900019
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7460
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 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	Chen, Shaochun,Yang, Yongqin,Mao, Shipeng. Anisotropic conforming rectangular elements for elliptic problems of any order[J]. APPLIED NUMERICAL MATHEMATICS,2009,59(5):1137-1148.
APA	Chen, Shaochun,Yang, Yongqin,&Mao, Shipeng.(2009).Anisotropic conforming rectangular elements for elliptic problems of any order.APPLIED NUMERICAL MATHEMATICS,59(5),1137-1148.
MLA	Chen, Shaochun,et al."Anisotropic conforming rectangular elements for elliptic problems of any order".APPLIED NUMERICAL MATHEMATICS 59.5(2009):1137-1148.