Study of a numerical approach for a transient flow problem in porous media

被引：0
作者：
Chakib, A
Ghemires, T
Nachaoui, A
机构：
[1] Univ Nantes, CNRS, UMR 6629, Lab Math Jean Leray, F-44322 Nantes, France
[2] Univ Cadi Ayyad, Fac Sci & Tech Beni Mellal, Dept Math Appl & Informat, Beni Mellal, Morocco
[3] Univ Mohammed 5, Fac Sci, Dept Math & Informat, Rabat, Morocco
来源：
NUMERICAL ALGORITHMS | 2003年 / 34卷 / 2-4期
关键词：
transient flow; dam in porous media; time discretization; optimal shape; finite element;
D O I：
10.1023/B:NUMA.0000005403.59451.61
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we deal with the numerical study of the new approximation method proposed in [7] for a transient flow problem in porous media. The stationary problem, obtained from a time discretization of this transient problem, is considered as an optimal shape design formulation. We prove the existence of the solution of the discrete optimal shape problem obtained from finite element discretization. We study the convergence and give numerical results showing the efficiency of the proposed approach.
引用
收藏
页码：229 / 243
页数：15
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