CONVERGENCE OF A FINITE ELEMENT-FINITE VO LUME IMPLICIT SCHEME FOR THE SYSTEM OF AN ELLIPTIC EQUATION AND A HYPERBOLIC EQUATION

Authors
GHILANI M EYMARD R
Citation
M. Ghilani et R. Eymard, CONVERGENCE OF A FINITE ELEMENT-FINITE VO LUME IMPLICIT SCHEME FOR THE SYSTEM OF AN ELLIPTIC EQUATION AND A HYPERBOLIC EQUATION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(10), 1994, pp. 1095-1100
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
319
Issue
10
Year of publication
1994
Pages
1095 - 1100
Database
ISI
SICI code
0764-4442(1994)319:10<1095:COAFEV>2.0.ZU;2-3
Abstract
We show in this article the convergence of the implicit finite element -finite volume scheme for the coupled system u(t) - div (u del P) = 0 and DELTAP = 0 over an open set OMEGA in R2 or R3. This scheme is inco nditionally stable and positive.