A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element

doi:10.1016/j.apnum.2005.07.005

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	A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element
	Mao, SP ; Chen, SC ; Sun, HX
	2006-07-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	56 期号:7 页码:937-961
摘要	In this paper, a four-parameter quadrilateral nonconforming finite element with double set parameter (DSP) is presented. The element is originated from the nonconforming rotated Q, element and bilinear element, thus we can call it QB element. We prove that it is an anisotropic and superconvergent nonconforming quadrilateral finite element. The results of this paper can be regarded as extensions of the DSP method to the second order problems, which show some new merits of it. Finally, numerical results are presented, which coincides with our theoretical analysis. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	quadrilateral nonconforming element double set parameter superconvergence anisotropic a posteriori error estimate
DOI	10.1016/j.apnum.2005.07.005
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000237834500003
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/3864
专题	中国科学院数学与系统科学研究院
通讯作者	Mao, SP
作者单位	1.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China 3.Henan Univ Technol, Dept Math, Zhengzhou 450052, Peoples R China
推荐引用方式 GB/T 7714	Mao, SP,Chen, SC,Sun, HX. A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element[J]. APPLIED NUMERICAL MATHEMATICS,2006,56(7):937-961.
APA	Mao, SP,Chen, SC,&Sun, HX.(2006).A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element.APPLIED NUMERICAL MATHEMATICS,56(7),937-961.
MLA	Mao, SP,et al."A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element".APPLIED NUMERICAL MATHEMATICS 56.7(2006):937-961.