| Darcy-Stokes问题的统一稳定化有限体积法分析 |
| |
| 引用本文： | 谢春梅,骆艳,冯民富.Darcy-Stokes问题的统一稳定化有限体积法分析[J].计算数学,2011,33(2):133-144. |
| |
| 作者姓名： | 谢春梅 骆艳 冯民富 |
| |
| 作者单位： | 1. 电子科技大学数学科学学院, 成都, 610054;
2. 四川大学数学学院, 成都, 610064 |
| |
| 摘 要： | 本文对Darcy-Stokes问题提出了一种统一的稳定化有限体积法.在离散问题中,采用两种剖分,一种为三角形剖分,一种为其对偶四边形剖分.速度及压力分别采用非协调线性元及分片常数元来做逼近.经证明,文中的统一格式,具有稳定性及最优误差估计.最后用数值算例验证了本文的理论结果.
|
| 关 键 词： | 有限体积法 Darcy-Stokes问题 稳定化 |
| 收稿时间： | 2009-09-10; |
ANALYSIS OF A UNIFIED STABILIZED FINITE VOLUME METHOD FOR THE DARCY-STOKES PROBLEM |
| |
| Xie Chunmei,Luo Yan,Feng Minfu.ANALYSIS OF A UNIFIED STABILIZED FINITE VOLUME METHOD FOR THE DARCY-STOKES PROBLEM[J].Mathematica Numerica Sinica,2011,33(2):133-144. |
| |
| Authors: | Xie Chunmei Luo Yan Feng Minfu |
| |
| Institution: | 1. School of mathematical sciences, University of Electronic Science and Technology, Chengdu 610054, China;
2. School of Mathematics, Sichuan University, Chengdu 610064, China |
| |
| Abstract: | A unified stabilized finite volume element method is proposed for the Darcy-Stokes problem. For the discretization form, two grids are needed; one is triangulation and the other is quadrilateral meshes. The velocity is approximated using nonconforming piecewise linears and the pressure piecewise constants. The proposed unified method in this paper is shown to be stable and optimally convergent for both the velocity and the pressure. Moreover, numerical experiments are given to demonstrate the theoretical results. |
| |
| Keywords: | finite volume element the Darcy-Stokes problem stabilization |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
|
