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

	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
	2011-05-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	53 期号:9-10 页码:1956-1969
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.
关键词	Stationary Stokes and Navier-Stokes equations Nonconforming mixed finite element scheme Inf-sup condition Optimal error estimates
DOI	10.1016/j.mcm.2011.01.026
语种	英语
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
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000287729700037
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13067
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.