A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations

doi:10.1016/j.mcm.2011.01.026

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations
	Shi, Dongyang 1; Gong, Wei2 ; Ren, Jincheng 3
刊名	MATHEMATICAL AND COMPUTER MODELLING
	2011-05-01
卷号	53 期号:9-10 页码:1956-1969
关键词	Stationary Stokes and Navier-Stokes equations Nonconforming mixed finite element scheme Inf-sup condition Optimal error estimates
ISSN号	0895-7177
DOI	10.1016/j.mcm.2011.01.026
英文摘要	In this paper, the discretization of the stationary Stokes and Navier-Stokes equations in a two-dimensional domain by a nonconforming mixed finite element method is considered. The standard formulation of the Stokes and Navier-Stokes equations in the primitive variables is formed, which takes for approximating space the new nonconforming rectangular element for the velocity and the bilinear element for the pressure. The optimal error estimates for the approximations of both the velocity in broken H(1)-norm and the pressure in L(2)-norm are achieved. Numerical experiments are given which are consistent with our theoretical analysis. (C) 2011 Elsevier Ltd. All rights reserved.
资助项目	National Natural Science Foundation of China[10671184] ; National Natural Science Foundation of China[10971203] ; Youth Development Foundation of Shangqiu Normal University[2010QN013]
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000287729700037
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/13066]
专题	计算数学与科学工程计算研究所
通讯作者	Shi, Dongyang
作者单位	1.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 3.Shangqiu Normal Univ, Dept Math, Shangqiu 476000, Peoples R China
推荐引用方式 GB/T 7714	Shi, Dongyang,Gong, Wei,Ren, Jincheng. A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations[J]. MATHEMATICAL AND COMPUTER MODELLING,2011,53(9-10):1956-1969.
APA	Shi, Dongyang,Gong, Wei,&Ren, Jincheng.(2011).A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations.MATHEMATICAL AND COMPUTER MODELLING,53(9-10),1956-1969.
MLA	Shi, Dongyang,et al."A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations".MATHEMATICAL AND COMPUTER MODELLING 53.9-10(2011):1956-1969.