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
Source Publication	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
Volume	49 Issue:10 Pages:1363-1375
Abstract	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.
Keyword	anisotropic interpolation error consistency error nonconforming rotated Q(1) element
DOI	10.1007/s11425-006-1363-3
Language	英语
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000241999600007
Publisher	SCIENCE CHINA PRESS
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/3423
Collection	计算数学与科学工程计算研究所
Corresponding Author	Mao Shipeng
Affiliation	Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation 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.

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