Discrete Sobolev inequalities and L-p error estimates for finite volume solutions of convection diffusion equations

Authors
Coudiere, Y Gallouet, T Herbin, R
Citation
Y. Coudiere et al., Discrete Sobolev inequalities and L-p error estimates for finite volume solutions of convection diffusion equations, ESAIM-M MOD, 35(4), 2001, pp. 767-778
Citations number
27
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
35
Issue
4
Year of publication
2001
Pages
767 - 778
Database
ISI
SICI code
0764-583X(200107/08)35:4<767:DSIALE>2.0.ZU;2-J
Abstract
The topic of this work is to obtain discrete Sobolev inequalities for piece wise constant functions, and to deduce L-p error estimates on the approxima te solutions of convection diffusion equations by finite volume schemes.