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Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations

Published online by Cambridge University Press:  15 April 2002

Yves Coudière ,
Thierry Gallouët  and
Raphaèle Herbin
Yves Coudière
Affiliation:
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
Thierry Gallouët
Affiliation:
Université d'Aix-Marseille 1, France. (gallouet@gyptis.univ-mrs.fr)
Raphaèle Herbin
Affiliation:
Université d'Aix-Marseille 1, France. (herbin@armstrong.univ-mrs.fr)
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Abstract

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.

Keywords

Finite volume methodsLp error estimatesunstructured meshesconvection-diffusion equations.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 4 , July 2001 , pp. 767 - 778
Copyright
© EDP Sciences, SMAI, 2001

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