A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations
文献类型：期刊论文
| 作者 | Shi, Dongyang1; Gong, Wei2 ; Ren, Jincheng3
|
| 刊名 | MATHEMATICAL AND COMPUTER MODELLING
 |
| 出版日期 | 2011-05-01 |
| 卷号 | 53期号:9-10页码:1956-1969 |
| 关键词 | Stationary Stokes and Navier-Stokes equations Nonconforming mixed finite element scheme Inf-sup condition Optimal error estimates |
| ISSN号 | 0895-7177 |
| DOI | 10.1016/j.mcm.2011.01.026 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000287729700037 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13066]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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