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Comptes Rendus Mathématique
Volume 347, n° 19-20
pages 1217-1222 (octobre 2009)
Doi : 10.1016/j.crma.2009.07.017
Received : 18 Mars 2009 ;  accepted : 9 July 2009
A posteriori error estimate for a one-dimensional pollution problem in porous media
Estimation a posteriori pour un problème de pollution unidimensionnel en milieu poreux
 

Rajaa Aboulaich a , Boujemâa Achchab b , Aziz Darouichi a
a LERMA, École Mohammadia d’ingénieurs, avenue Ibn-Sina B.P. 765, Agdal, Rabat, Maroc 
b Université Hassan 1er, LM2CE, FSEJ Settat et Ecole Supérieure de Technologie, B.P. 218 Berrechid, Maroc 

Abstract

We are interested in the discretization of a time-dependent pollution problem modeling the mass transfer of contaminant in porous media, by the implicit Euler scheme in time and vertex-centered finite volumes in space. The error estimator consists of two types of computable error indicators, the first one being linked to the time discretization and the second one to the space discretization. To cite this article: R. Aboulaich et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).

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Résumé

On s’intéresse à la discrétisation d’un problème de pollution instationnaire, modélisant le transfert de masse d’un polluant en milieu poreux, par un schéma d’Euler implicite en temps et par volumes finis centrés sur les nœuds en espace. L’estimateur d’erreur a posteriori développé ici est constitué de deux indicateurs d’erreur, le premier lié à la discrétisation temporelle, le second à la discrétisation spatiale. Pour citer cet article : R. Aboulaich et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.

 This work has been supported in part by the CNRST Morocco, Projet d’établissement Université Hassan 1er Settat, the Volkswagen Foundation: Grant number I/79315, Hydro   project and Action Intégrée No MA/05, 115.



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