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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
Affiliation:
Inria - Projet Sinus, 2004 route des Lucioles, BP 93, 06902 Sophia-Antipolis Cedex, France. Phone: +33 (0)4 92 38 71 63. ([email protected]), http://www-sop.inria.fr/sinus/personnel/Yves.Coudiere
Thierry Gallouët
Affiliation:
Université d'Aix-Marseille 1, France. ([email protected])
Raphaèle Herbin
Affiliation:
Université d'Aix-Marseille 1, France. ([email protected])
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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.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2001

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