A remark on supercloseness and extrapolation of the quadrilateral Han element for the Stokes equations

doi:10.1016/j.crma.2011.08.005

	A remark on supercloseness and extrapolation of the quadrilateral Han element for the Stokes equations
	Li, Mingxia 1; Becker, Roland 2,3; Mao, Shipeng4
	2011-09-01
发表期刊	COMPTES RENDUS MATHEMATIQUE
ISSN	1631-073X
卷号	349 期号:17-18 页码:1017-1020
摘要	We analyze the supercloseness properties of the nonconforming quadrilateral Han finite element for the Stokes equations. It is shown that the difference between the discrete solution and the natural interpolation of the continuous solution does not have the supercloseness property. Based on this analysis, we propose a modified interpolation operator which allows for such a result. It is then used to obtain a simple third-order extrapolation scheme. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
DOI	10.1016/j.crma.2011.08.005
语种	英语
资助项目	INRIA ; Fundamental Research Funds for the Central Universities of China[2011YYL078] ; NSFC[11101386] ; NSFC[11101414]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000297239800020
出版者	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12976
专题	计算数学与科学工程计算研究所
通讯作者	Li, Mingxia
作者单位	1.China Univ Geosci Beijing, Sch Informat Engn, Beijing 100083, Peoples R China 2.Univ Pau & Pays Adour, Lab Math Appl, F-64013 Pau, France 3.Univ Pau & Pays Adour, INRIA Bordeaux Sud Ouest, F-64013 Pau, France 4.Chinese Acad Sci, LSEC, Inst Computat Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, Mingxia,Becker, Roland,Mao, Shipeng. A remark on supercloseness and extrapolation of the quadrilateral Han element for the Stokes equations[J]. COMPTES RENDUS MATHEMATIQUE,2011,349(17-18):1017-1020.
APA	Li, Mingxia,Becker, Roland,&Mao, Shipeng.(2011).A remark on supercloseness and extrapolation of the quadrilateral Han element for the Stokes equations.COMPTES RENDUS MATHEMATIQUE,349(17-18),1017-1020.
MLA	Li, Mingxia,et al."A remark on supercloseness and extrapolation of the quadrilateral Han element for the Stokes equations".COMPTES RENDUS MATHEMATIQUE 349.17-18(2011):1017-1020.