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| Stokes 方程的压力梯度局部投影稳定化方法 | |
| 引用本文： | 孔花,刘程熙,曹艳萍.Stokes 方程的压力梯度局部投影稳定化方法[J].四川大学学报(自然科学版),2011,48(5):989-994. |
| 作者姓名： | 孔花 刘程熙 曹艳萍 |
| 作者单位： | 1. 四川大学数学学院,成都,610064 2. 内江师范学院数学与信息学院,内江,641112 3. 中国石油川庆钻探工程有限公司计划处,成都,610051 |
| 摘 要： | 作者将压力梯度投影方法和宏元剖分相结合，对Stokes 方程提出了一种新的局部稳定化方法，该方法的稳定项只与压力梯度投影和宏元内部边界跳跃有关，而且不需要修改右端，实现起来更容易. |
| 关 键 词： | 宏元 局部稳定化 误差估计 |
The pressure gradient local projection stabilized method for the Stokes equation |
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| KONG Hua,LIU Cheng-Xi,CAO Yan-Ping.The pressure gradient local projection stabilized method for the Stokes equation[J].Journal of Sichuan University (Natural Science Edition),2011,48(5):989-994. | |
| Authors: | KONG Hua LIU Cheng-Xi CAO Yan-Ping |
| Institution: | College of Mathematics, Sichuan University;College of Mathematics and Information Sciences, Neijiang Normal University;Department of Planning, CNPC Cuanqing Drilling Engineer Company Limited |
| Abstract: | In this paper, the authors present a new locally stabilized method for the Stokes equation, which combines pressure gradient projection method with macroelement. The stable item in this method is only relevant to pressure gradient projection and macroelement internal boundary. This method can be easily impleted and don't need to modify the right term. Further, this paper presents the corresponding stability analysis and error estimation. |
| Keywords: | macroelement locally stabilized error estimate |
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