Comptes Rendus
no. 7
Partial differential equations/Numerical analysis
Constructing exact sequences on non-conforming discrete spaces
[Construction de suites exactes sur des espaces discrets non conformes]

Présenté par : the Editorial Board

Martin Campos Pinto1
1 CNRS, Sorbonne Universités, UPMC Université Paris-6, UMR 7598, Laboratoire Jacques-Louis-Lions, 4, place Jussieu, 75005 Paris, France
Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 691-696.

Dans cette note, nous proposons un procédé général pour construire des suites exactes autour d'un espace non conforme, et nous montrons comment ce procédé peut servir à écrire une loi de Gauss discrète convenable dans le cadre d'approximations Galerkin discontinues (DG) des équations de Maxwell temporelles en 2d.

In this note, we propose a general procedure to construct exact sequences involving a non-conforming function space and we show how this construction can be used to derive a proper discrete Gauss law for structure-preserving discontinuous Galerkin (DG) approximations to the time-dependent 2d Maxwell equations.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.03.008
Martin Campos Pinto 1

1 CNRS, Sorbonne Universités, UPMC Université Paris-6, UMR 7598, Laboratoire Jacques-Louis-Lions, 4, place Jussieu, 75005 Paris, France 
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Martin Campos Pinto. Constructing exact sequences on non-conforming discrete spaces. Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 691-696. doi : 10.1016/j.crma.2016.03.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.03.008/

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