[Approximation par la méthode de Galerkine discontinue avec un principe variationnel discret pour un Laplacien non-linéaire]
On analyse une méthode de Galerkine discontinue afin d'approcher le problème modèle du Laplacien non-linéaire. La propriété essentielle du schéma proposé est que celui-ci jouit d'un principe variationnel discret. On prouve la convergence des approximations discrètes vers la solution exacte.
A discontinuous Galerkin method is analyzed to approximate the nonlinear Laplacian model problem. The salient feature of the proposed scheme is that it is endowed with a discrete variational principle. The convergence of the discrete approximations to the exact solution is proven.
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@article{CRMATH_2008__346_17-18_1013_0,
author = {Erik Burman and Alexandre Ern},
title = {Discontinuous {Galerkin} approximation with discrete variational principle for the nonlinear {Laplacian}},
journal = {Comptes Rendus. Math\'ematique},
pages = {1013--1016},
publisher = {Elsevier},
volume = {346},
number = {17-18},
year = {2008},
doi = {10.1016/j.crma.2008.07.005},
language = {en},
}
TY - JOUR AU - Erik Burman AU - Alexandre Ern TI - Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian JO - Comptes Rendus. Mathématique PY - 2008 SP - 1013 EP - 1016 VL - 346 IS - 17-18 PB - Elsevier DO - 10.1016/j.crma.2008.07.005 LA - en ID - CRMATH_2008__346_17-18_1013_0 ER -
%0 Journal Article %A Erik Burman %A Alexandre Ern %T Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian %J Comptes Rendus. Mathématique %D 2008 %P 1013-1016 %V 346 %N 17-18 %I Elsevier %R 10.1016/j.crma.2008.07.005 %G en %F CRMATH_2008__346_17-18_1013_0
Erik Burman; Alexandre Ern. Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian. Comptes Rendus. Mathématique, Volume 346 (2008) no. 17-18, pp. 1013-1016. doi : 10.1016/j.crma.2008.07.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.07.005/
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