The finite volume method for Richards equation

被引：107
|
作者：
Eymard, R
Gutnic, M
Hilhorst, D
机构：
[1] Ecole Natl Ponts & Chaussees, F-77455 Marne la Vallee 2, France
[2] Univ Strasbourg 1, Inst Rech Math, F-67084 Strasbourg, France
[3] CNRS, Lab Math Anal Numer & EDP, F-91405 Orsay, France
[4] Univ Paris Sud, F-91405 Orsay, France
来源：
COMPUTATIONAL GEOSCIENCES | 1999年 / 3卷 / 3-4期
关键词：
flow in porous media; Richards equation; finite volume methods; convergence of approximate solutions; discrete a priori estimates; Kolmogorov's theorem;
D O I：
10.1023/A:1011547513583
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we prove the convergence of a finite volume scheme for the discretization of an elliptic-parabolic problem, namely Richards equation beta(P)(t) - div(K(beta(P)) x del (P + z)) = 0, together with Dirichlet boundary conditions and an initial condition. This is done by means of a priori estimates in L-2 and the use of Kolmogorov's theorem on relative compactness of subsets of L-2.
引用
收藏
页码：259 / 294
页数：36
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