An anisotropic, superconvergent nonconforming plate finite element

doi:10.1016/j.cam.2007.07.034

	An anisotropic, superconvergent nonconforming plate finite element
	Chen, Shaochun 2; Yin, Li 2; Mao, Shipeng1
	2008-10-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	220 期号:1-2 页码:96-110
摘要	The classical finite elementconvergence analysis relies on the following regularity condition: there exists a constant c independent of the element K and the mesh such that h(K/)p(K) <= c, where h(K) and p(K) are diameters of K and the biggest ball contained in K, respectively. In this paper. we construct a new, nonconforming rectangular plate element by the double set parameter method. We prove the convergence of this element without the above regularity condition. The key in our proof is to obtain the O(h(2)) consistency error. We also prove the superconvergence of this element for narrow rectangular meshes. Results of our numerical tests agree well with our analysis. (C) 2007 Elsevier B.V. All rights reserved.
关键词	regularity condition double set parameter nonconforming plate element anisotropic convergence superconvergence
DOI	10.1016/j.cam.2007.07.034
语种	英语
资助项目	NSFC[10471133] ; NSFC[10590353]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000258636800011
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/6275
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, Acad Math & Syst Sci, Inst Computat Math, 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,Yin, Li,Mao, Shipeng. An anisotropic, superconvergent nonconforming plate finite element[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2008,220(1-2):96-110.
APA	Chen, Shaochun,Yin, Li,&Mao, Shipeng.(2008).An anisotropic, superconvergent nonconforming plate finite element.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,220(1-2),96-110.
MLA	Chen, Shaochun,et al."An anisotropic, superconvergent nonconforming plate finite element".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 220.1-2(2008):96-110.