A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS
文献类型：期刊论文
| 作者 | Shi Dongyang1; Ren Jincheng2; Gong Wei3
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 31期号:2页码:367-382 |
| 关键词 | Stationary Navier-Stokes equations nonconforming mixed finite element scheme optimal order error estimates |
| ISSN号 | 0252-9602 |
| 英文摘要 | 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. |
| 资助项目 | NSF of China[10671184] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000289007900002 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12706]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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