The finite volume method for Richards equation

被引：106

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

页码：259 / 294

页数：36

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