ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION

	ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION
	Mao, Shipeng1 ; Nicaise, Serge 2; Shi, Zhong-Ci1
	2010
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	7 期号:4 页码:639-655
摘要	In this paper, we establish the convergence of a nonconforming triangular Morley element for the plate bending problem on degenerate meshes. An explicit bound for the interpolation error is derived for arbitrary triangular meshes without any assumptions. The optimal convergence rates of the moment error and rotation error are derived for triangular meshes satisfying the maximal angle condition. Our results can also be extended to the three dimensional Morley element presented recently in [41]. Finally, some numerical results are reported that confirm our theoretical results.
关键词	Morley element plate elements plate bending problems maximal angle condition
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:000277127400003
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9519
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 & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Univ Valenciennes & Hainaut Cambresis, LAMAV, ISTV, F-59313 Valenciennes 9, France
推荐引用方式 GB/T 7714	Mao, Shipeng,Nicaise, Serge,Shi, Zhong-Ci. ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2010,7(4):639-655.
APA	Mao, Shipeng,Nicaise, Serge,&Shi, Zhong-Ci.(2010).ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,7(4),639-655.
MLA	Mao, Shipeng,et al."ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 7.4(2010):639-655.