On the accuracy of nonconforming quadrilateral Q(1) element approximation for the Navier-Stokes problem
文献类型：期刊论文
| 作者 | Xu, XJ |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2000-06-23 |
| 卷号 | 38期号:1页码:17-39 |
| 关键词 | quadrilateral Q(1) element a convergence condition the maximum norm estimate the Navier Stokes equation |
| ISSN号 | 0036-1429 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000088263500002 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15198]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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