| Issue |
ESAIM: M2AN
Volume 35, Number 4, July-August 2001
|
|
|---|---|---|
| Page(s) | 767 - 778 | |
| DOI | https://doi.org/10.1051/m2an:2001135 | |
| Published online | 15 April 2002 | |
Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations
1
Inria - Projet Sinus, 2004 route des Lucioles, BP 93, 06902 Sophia-Antipolis Cedex, France. Phone: +33 (0)4 92 38 71 63. (Yves.Coudiere@sophia.inria-fr), http://www-sop.inria.fr/sinus/personnel/Yves.Coudiere
2
Université d'Aix-Marseille 1, France.
(gallouet@gyptis.univ-mrs.fr)
3
Université d'Aix-Marseille 1, France.
(herbin@armstrong.univ-mrs.fr)
Received:
15
November
2000
Revised:
16
March
2001
The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce Lp error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.
Mathematics Subject Classification: 65N15
Key words: Finite volume methods / Lp error estimates / unstructured meshes / convection-diffusion equations.
© EDP Sciences, SMAI, 2001
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