Constructing exact sequences on non-conforming discrete spaces

Martin Campos Pinto

doi:10.1016/j.crma.2016.03.008

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 Pinto ¹

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.

Résumé
Abstract

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 : 2015-03-17
Accepté le : 2016-03-15
Publié le : 2016-05-24

DOI : 10.1016/j.crma.2016.03.008

Affiliations des auteurs :

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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     title = {Constructing exact sequences on non-conforming discrete spaces},
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     pages = {691--696},
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     volume = {354},
     number = {7},
     year = {2016},
     doi = {10.1016/j.crma.2016.03.008},
     language = {en},
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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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