A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS

	A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS
	Shi Dongyang 1; Ren Jincheng 2; Gong Wei3
	2011-03-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	31 期号:2 页码:367-382
摘要	In this article, a new stable nonconforming mixed finite element scheme is proposed for the stationary Navier-Stokes equations, in which a new low order Crouzeix-Raviart type nonconforming rectangular element is taken for approximating space for the velocity and the piecewise constant element for the pressure. The optimal order error estimates for the approximation of both the velocity and the pressure in L(2)-norm are established, as well as one in broken H(1)-norm for the velocity. Numerical experiments are given which are consistent with our theoretical analysis.
关键词	Stationary Navier-Stokes equations nonconforming mixed finite element scheme optimal order error estimates
语种	英语
资助项目	NSF of China[10671184]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000289007900002
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12707
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.Shangqiu Normal Univ, Dept Math, Shangqiu 476000, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shi Dongyang,Ren Jincheng,Gong Wei. A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS[J]. ACTA MATHEMATICA SCIENTIA,2011,31(2):367-382.
APA	Shi Dongyang,Ren Jincheng,&Gong Wei.(2011).A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS.ACTA MATHEMATICA SCIENTIA,31(2),367-382.
MLA	Shi Dongyang,et al."A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS".ACTA MATHEMATICA SCIENTIA 31.2(2011):367-382.