| Darcy-Stokes 方程的局部压力梯度投影的稳定化方法 |
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| 引用本文： | 王跃,胡兵,徐友才.Darcy-Stokes 方程的局部压力梯度投影的稳定化方法[J].四川大学学报(自然科学版),2010,47(4):679-683. |
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| 作者姓名： | 王跃 胡兵 徐友才 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 基金项目： | 国家自然科学基金(10771150) |
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| 摘 要： | 对Darcy-Stokes方程,作者利用局部压力梯度投影的技巧，提出了稳定的P1P1有限元格式，证明了方法的稳定性，导出了误差估计.数值实验验证了该方法对Darcy-Stokes方程有效.
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| 关 键 词： | Darcy-Stokes 方程 局部压力梯度投影 LBB条件 P1P1元 |
The pressure gradient stabilization for Darcy-Stokes equation based on local projections |
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| WANG Yue,HU Bing,XU You-Cai.The pressure gradient stabilization for Darcy-Stokes equation based on local projections[J].Journal of Sichuan University (Natural Science Edition),2010,47(4):679-683. |
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| Authors: | WANG Yue HU Bing XU You-Cai |
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| Institution: | College of Mathematics, Sichuan University;College of Mathematics, Sichuan University;College of Mathematics, Sichuan University |
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| Abstract: | In this paper, the stable P1P1 element is put forward for Darcy-Stokes equation by adding the pressure gradient stabilization based on local projections.The stabilization of the method is proved, and the error estimates are derived. The numerical example shows that the method is valid for Darcy- Stokes equation. |
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| Keywords: | Darcy-Stokes equation pressure gradient stabilization based on local projections LBB condition P1P1 element |
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