On the accuracy of nonconforming quadrilateral Q(1) element approximation for the Navier-Stokes problem

CSpace

	On the accuracy of nonconforming quadrilateral Q(1) element approximation for the Navier-Stokes problem
	Xu, XJ
	2000-06-23
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	38 期号:1 页码:17-39
摘要	This paper deals with the nonconforming quadrilateral Q(1) element approximation of the Navier Stokes equation, by using the so-called velocity-pressure mixed formulation. A convergence condition is presented for the nonconforming Stokes element. It is shown that the condition is not only sufficient for the convergence, but also, in some sense, is necessary. The quasi-optimal maximum norm error estimates of the velocity and its rst derivatives and of the pressure are derived for the nonconforming quadrilateral Q(1) element for the stationary Navier Stokes problem. The analysis is based on the weighted inf-sup condition and the technique of weighted Sobolev norm.
关键词	quadrilateral Q(1) element a convergence condition the maximum norm estimate the Navier Stokes equation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000088263500002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15199
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, XJ
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, XJ. On the accuracy of nonconforming quadrilateral Q(1) element approximation for the Navier-Stokes problem[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2000,38(1):17-39.
APA	Xu, XJ.(2000).On the accuracy of nonconforming quadrilateral Q(1) element approximation for the Navier-Stokes problem.SIAM JOURNAL ON NUMERICAL ANALYSIS,38(1),17-39.
MLA	Xu, XJ."On the accuracy of nonconforming quadrilateral Q(1) element approximation for the Navier-Stokes problem".SIAM JOURNAL ON NUMERICAL ANALYSIS 38.1(2000):17-39.