Convergence of linear finite elements for diffusion equations with measure data

Thierry Gallouët; Raphaèle Herbin

doi:10.1016/j.crma.2003.11.024

Numerical Analysis

Convergence of linear finite elements for diffusion equations with measure data
[Convergence de la méthode éléments finis P1 pour une équation de diffusion avec second membre mesure]

Présenté par : Philippe G. Ciarlet

Thierry Gallouët ¹ ; Raphaèle Herbin ¹

¹ Université de Provence, 39, rue Joliot-Curie, 13453 Marseille, France

Comptes Rendus. Mathématique, Volume 338 (2004) no. 1, pp. 81-84.

Résumé
Abstract

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.

Reçu le : 2003-10-23
Accepté le : 2003-11-11
Publié le : 2003-12-18

DOI : 10.1016/j.crma.2003.11.024

Affiliations des auteurs :

Thierry Gallouët ¹ ; Raphaèle Herbin ¹

¹ Université de Provence, 39, rue Joliot-Curie, 13453 Marseille, France

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     title = {Convergence of linear finite elements for diffusion equations with measure data},
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     number = {1},
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     doi = {10.1016/j.crma.2003.11.024},
     language = {en},
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Thierry Gallouët; Raphaèle Herbin. Convergence of linear finite elements for diffusion equations with measure data. Comptes Rendus. Mathématique, Volume 338 (2004) no. 1, pp. 81-84. doi : 10.1016/j.crma.2003.11.024. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.11.024/

Bibliographie
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Johannes Kraus; Svetoslav Nakov; Sergey Repin Reliable Computer Simulation Methods for Electrostatic Biomolecular Models Based on the Poisson–Boltzmann Equation, Computational Methods in Applied Mathematics, Volume 20 (2020) no. 4, p. 643 | DOI:10.1515/cmam-2020-0022
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