The finite volume method for Richards equation

被引：0
作者：
Robert Eymard
Michaël Gutnic
Danielle Hilhorst
机构：
[1] Ecole Nationale des Ponts et Chaussées,Institut de Recherche Mathématique Avancée
[2] Université Louis Pasteur,Laboratoire de Mathématiques, Analyse Numérique et EDP
[3] CNRS et Université de Paris-Sud (bât. 425),undefined
来源：
Computational Geosciences | 1999年 / 3卷
关键词：
flow in porous media; Richards equation; finite volume methods; convergence of approximate solutions; discrete a priori estimates; Kolmogorov's theorem; 35k55; 65M12; 65N12; 65N22; 76M25; 76S05;
D O I：
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中图分类号：
学科分类号：
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 β(P)t−div(K(β(P))× ∇(P+z))=0, together with Dirichlet boundary conditions and an initial condition. This is done by means of a priori estimates in L2 and the use of Kolmogorov's theorem on relative compactness of subsets of L2.
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页码：259 / 294
页数：35
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