The finite volume method for Richards equation

Authors
Eymard, R Gutnic, M Hilhorst, D
Citation
R. Eymard et al., The finite volume method for Richards equation, COMPUTAT GE, 3(3-4), 1999, pp. 259-294
Citations number
25
Categorie Soggetti
Earth Sciences
Journal title
COMPUTATIONAL GEOSCIENCES
ISSN journal
14200597 → ACNP
Volume
3
Issue
3-4
Year of publication
1999
Pages
259 - 294
Database
ISI
SICI code
1420-0597(1999)3:3-4<259:TFVMFR>2.0.ZU;2-V
Abstract
In this paper we prove the convergence of a finite volume scheme for the di scretization of an elliptic-parabolic problem, namely Richards equation bet a(P)(t) - div(K(beta(P)) x del (P + z)) = 0, together with Dirichlet bounda ry conditions and an initial condition. This is done by means of a priori e stimates in L-2 and the use of Kolmogorov's theorem on relative compactness of subsets of L-2.