[Convergence de la méthode éléments finis P1 pour une équation de diffusion avec second membre mesure]
On prouve la convergence des solutions approchées, par la méthode des éléments finis P1, d'une équation de diffusion avec second membre mesure, vers la solution faible de cette équation.
We show here the convergence of the linear finite element approximate solutions of a diffusion equation to a weak solution, with weak regularity assumptions on the data.
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@article{CRMATH_2004__338_1_81_0,
author = {Gallou\"et, Thierry and Herbin, Rapha\`ele},
title = {Convergence of linear finite elements for diffusion equations with measure data},
journal = {Comptes Rendus. Math\'ematique},
pages = {81--84},
publisher = {Elsevier},
volume = {338},
number = {1},
year = {2004},
doi = {10.1016/j.crma.2003.11.024},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2003.11.024/}
}
TY - JOUR AU - Gallouët, Thierry AU - Herbin, Raphaèle TI - Convergence of linear finite elements for diffusion equations with measure data JO - Comptes Rendus. Mathématique PY - 2004 SP - 81 EP - 84 VL - 338 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2003.11.024/ DO - 10.1016/j.crma.2003.11.024 LA - en ID - CRMATH_2004__338_1_81_0 ER -
%0 Journal Article %A Gallouët, Thierry %A Herbin, Raphaèle %T Convergence of linear finite elements for diffusion equations with measure data %J Comptes Rendus. Mathématique %D 2004 %P 81-84 %V 338 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2003.11.024/ %R 10.1016/j.crma.2003.11.024 %G en %F CRMATH_2004__338_1_81_0
Gallouët, Thierry; Herbin, Raphaèle. Convergence of linear finite elements for diffusion equations with measure data. Comptes Rendus. Mathématique, Tome 338 (2004) no. 1, pp. 81-84. doi : 10.1016/j.crma.2003.11.024. http://www.numdam.org/articles/10.1016/j.crma.2003.11.024/
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