[Estimation a posteriori pour un problème de pollution unidimensionnel en milieu poreux]
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.
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.
Accepté le :
Publié le :
Rajaa Aboulaich 1 ; Boujemâa Achchab 2 ; Aziz Darouichi 1
@article{CRMATH_2009__347_19-20_1217_0,
author = {Rajaa Aboulaich and Boujem\^aa Achchab and Aziz Darouichi},
title = {A posteriori error estimate for a one-dimensional pollution problem in porous media},
journal = {Comptes Rendus. Math\'ematique},
pages = {1217--1222},
publisher = {Elsevier},
volume = {347},
number = {19-20},
year = {2009},
doi = {10.1016/j.crma.2009.07.017},
language = {en},
}
TY - JOUR AU - Rajaa Aboulaich AU - Boujemâa Achchab AU - Aziz Darouichi TI - A posteriori error estimate for a one-dimensional pollution problem in porous media JO - Comptes Rendus. Mathématique PY - 2009 SP - 1217 EP - 1222 VL - 347 IS - 19-20 PB - Elsevier DO - 10.1016/j.crma.2009.07.017 LA - en ID - CRMATH_2009__347_19-20_1217_0 ER -
%0 Journal Article %A Rajaa Aboulaich %A Boujemâa Achchab %A Aziz Darouichi %T A posteriori error estimate for a one-dimensional pollution problem in porous media %J Comptes Rendus. Mathématique %D 2009 %P 1217-1222 %V 347 %N 19-20 %I Elsevier %R 10.1016/j.crma.2009.07.017 %G en %F CRMATH_2009__347_19-20_1217_0
Rajaa Aboulaich; Boujemâa Achchab; Aziz Darouichi. A posteriori error estimate for a one-dimensional pollution problem in porous media. Comptes Rendus. Mathématique, Volume 347 (2009) no. 19-20, pp. 1217-1222. doi : 10.1016/j.crma.2009.07.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.07.017/
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Cité par Sources :
☆ 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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