[Adaptation de maillage pour l'équation de convection dispersion stabilisée par la méthode algébrique de sous-mailles orthogonales]
On développe un estimateur d'erreur a posteriori pour l'équation de convection dispersion stabilisée par la méthode algébrique de sous-mailles orthogonales. On obtient une majoration et une minoration de l'erreur. Les résultats numériques montre l'efficacité de l'indicateur d'erreur dans les régions des singularités où la solution présente des couches limites.
We derive a residual a posteriori error estimator for the algebraic orthogonal subscales stabilization of convective dispersive transport equation. The estimator yields upper bound on the error which is global and lower bound that is local. Numerical studies show the behaviour of the error indicator and how it is robust to deal with singularities.
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@article{CRMATH_2008__346_21-22_1187_0,
author = {Achchab, Boujema\^a and El Fatini, Mohamed and Ern, Alexandre and Souissi, A.},
title = {Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transport},
journal = {Comptes Rendus. Math\'ematique},
pages = {1187--1190},
publisher = {Elsevier},
volume = {346},
number = {21-22},
year = {2008},
doi = {10.1016/j.crma.2008.09.016},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2008.09.016/}
}
TY - JOUR AU - Achchab, Boujemaâ AU - El Fatini, Mohamed AU - Ern, Alexandre AU - Souissi, A. TI - Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transport JO - Comptes Rendus. Mathématique PY - 2008 SP - 1187 EP - 1190 VL - 346 IS - 21-22 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2008.09.016/ DO - 10.1016/j.crma.2008.09.016 LA - en ID - CRMATH_2008__346_21-22_1187_0 ER -
%0 Journal Article %A Achchab, Boujemaâ %A El Fatini, Mohamed %A Ern, Alexandre %A Souissi, A. %T Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transport %J Comptes Rendus. Mathématique %D 2008 %P 1187-1190 %V 346 %N 21-22 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2008.09.016/ %R 10.1016/j.crma.2008.09.016 %G en %F CRMATH_2008__346_21-22_1187_0
Achchab, Boujemaâ; El Fatini, Mohamed; Ern, Alexandre; Souissi, A. Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transport. Comptes Rendus. Mathématique, Tome 346 (2008) no. 21-22, pp. 1187-1190. doi : 10.1016/j.crma.2008.09.016. http://www.numdam.org/articles/10.1016/j.crma.2008.09.016/
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