Maximum norm error estimates of Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes problem

CSpace

	Maximum norm error estimates of Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes problem
	Deng, QP ; Xu, XJ ; Shen, SM
	2000-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	18 期号:2 页码:141-156
摘要	This paper deals with Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes equation in a plane bounded domain, by using the so-called velocity-pressure mixed formulation. The quasi-optimal maximum norm error estimates of the velocity and its first derivatives and of the pressure are derived for nonconforming C-R scheme of stationary Navier-Stokes problem. The analysis is based on the weighted inf-sup condition and the technique of weighted Sobolev norm. By the way, the optimal L-2-error estimate for nonconforming finite element approximation is obtained.
关键词	Navier-Stokes problem P1 nonconforming element maximum norm
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000086528700004
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15220
专题	中国科学院数学与系统科学研究院
作者单位	1.Univ Tennessee, Dept Math, Knoxville, TN 37996 USA 2.Chinese Acad Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 3.Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
推荐引用方式 GB/T 7714	Deng, QP,Xu, XJ,Shen, SM. Maximum norm error estimates of Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes problem[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2000,18(2):141-156.
APA	Deng, QP,Xu, XJ,&Shen, SM.(2000).Maximum norm error estimates of Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes problem.JOURNAL OF COMPUTATIONAL MATHEMATICS,18(2),141-156.
MLA	Deng, QP,et al."Maximum norm error estimates of Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes problem".JOURNAL OF COMPUTATIONAL MATHEMATICS 18.2(2000):141-156.