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A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations
Shi, Dongyang1; Gong, Wei2; Ren, Jincheng3
2011-05-01
Source PublicationMATHEMATICAL AND COMPUTER MODELLING
ISSN0895-7177
Volume53Issue:9-10Pages:1956-1969
AbstractIn 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.
KeywordStationary Stokes and Navier-Stokes equations Nonconforming mixed finite element scheme Inf-sup condition Optimal error estimates
DOI10.1016/j.mcm.2011.01.026
Language英语
Funding ProjectNational Natural Science Foundation of China[10671184] ; National Natural Science Foundation of China[10971203] ; Youth Development Foundation of Shangqiu Normal University[2010QN013]
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000287729700037
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13067
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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