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A FINITE VOLUME SCHEME FOR A NONCOERCIVE ELLIPTIC EQUATION WITH MEASURE DATA.

Authors :
Droniou, Jérôme
Gallouëtt, Thierry
Herbin, Raphaele
Source :
SIAM Journal on Numerical Analysis. 2003, Vol. 41 Issue 6, p1997-2031. 35p.
Publication Year :
2003

Abstract

We show here the convergence of the finite volume approximate solutions of a convection-diffusion equation to a weak solution, without the usual coercitivity assumption on the elliptic operator and with weak regularity assumptions on the data. Numerical experiments are performed to obtain some rates of convergence in two and three space dimensions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00361429
Volume :
41
Issue :
6
Database :
Academic Search Index
Journal :
SIAM Journal on Numerical Analysis
Publication Type :
Academic Journal
Accession number :
14691960
Full Text :
https://doi.org/10.1137/S0036142902405205