Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions

doi:10.1007/s11425-015-0471-2

	Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions
	Meng XiangYun 1; Yang XueQin 1; Zhang Shuo2
	2016-11-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	59 期号:11 页码:2245-2264
摘要	We present the convergence analysis of the rectangular Morley element scheme utilised on the second order problem in arbitrary dimensions. Specifically, we prove that the convergence of the scheme is of O(h) order in energy norm and of O(h (2)) order in L (2) norm on general d-rectangular triangulations. Moreover, when the triangulation is uniform, the convergence rate can be of O(h (2)) order in energy norm, and the convergence rate in L (2) norm is still of O(h (2)) order, which cannot be improved. Numerical examples are presented to demonstrate our theoretical results.
关键词	d-rectangular Morley element second order elliptic equation convergence analysis super convergence lower bound estimate
DOI	10.1007/s11425-015-0471-2
语种	英语
资助项目	National Natural Science Foundation of China[11471026] ; National Natural Science Foundation of China[11271035] ; National Natural Science Foundation of China[91430213] ; National Natural Science Foundation of China[11421101] ; National Natural Science Foundation of China[11101415]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000386577700009
出版者	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/23929
专题	计算数学与科学工程计算研究所
通讯作者	Zhang Shuo
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC,NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Meng XiangYun,Yang XueQin,Zhang Shuo. Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions[J]. SCIENCE CHINA-MATHEMATICS,2016,59(11):2245-2264.
APA	Meng XiangYun,Yang XueQin,&Zhang Shuo.(2016).Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions.SCIENCE CHINA-MATHEMATICS,59(11),2245-2264.
MLA	Meng XiangYun,et al."Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions".SCIENCE CHINA-MATHEMATICS 59.11(2016):2245-2264.