A GENERAL FINITE-VOLUME SCHEME FOR AN ELLIPTIC-HYPERBOLIC SYSTEM USING A VARIATIONAL APPROACH

Authors
LAYDI MR GHILANI M
Citation
Mr. Laydi et M. Ghilani, A GENERAL FINITE-VOLUME SCHEME FOR AN ELLIPTIC-HYPERBOLIC SYSTEM USING A VARIATIONAL APPROACH, Zeitschrift fur angewandte Mathematik und Physik, 49(4), 1998, pp. 630-643
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
49
Issue
4
Year of publication
1998
Pages
630 - 643
Database
ISI
SICI code
0044-2275(1998)49:4<630:AGFSFA>2.0.ZU;2-8
Abstract
We study the convergence of general finite volume schemes for the diph asic flow problem in porous media mu(t) - div(u del p) = 0 and Delta p = 0 in a bounded domain. A general formula for the numerical flux on a triangular mesh is given. The stability and an estimate of the total variation of the approximate solutions are obtained by means of a var iational method; the convergence follows easily for general data.