Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes

doi:10.1007/s11425-006-1363-3

	Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes
	Mao Shipeng; Shi Zhongci
	2006-10-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	49 期号:10 页码:1363-1375
摘要	In this paper, we consider the nonconforming rotated Q(1) element for the second order elliptic problem on the non-tensor product anisotropic meshes, i.e. the anisotropic affine quadrilateral meshes. Though the interpolation error is divergent on the anisotropic meshes, we overcome this difficulty by constructing another proper operator. Then we give the optimal approximation error and the consistency error estimates under the anisotropic affine quadrilateral meshes. The results of this paper provide some hints to derive the anisotropic error of some finite elements whose interpolations do not satisfy the anisotropic interpolation properties. Lastly, a numerical test is carried out, which coincides with our theoretical analysis.
关键词	anisotropic interpolation error consistency error nonconforming rotated Q(1) element
DOI	10.1007/s11425-006-1363-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000241999600007
出版者	SCIENCE CHINA 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/3423
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	Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Mao Shipeng,Shi Zhongci. Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(10):1363-1375.
APA	Mao Shipeng,&Shi Zhongci.(2006).Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(10),1363-1375.
MLA	Mao Shipeng,et al."Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.10(2006):1363-1375.