[Construction de suites exactes sur des espaces discrets non conformes]
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.
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Martin Campos Pinto 1
@article{CRMATH_2016__354_7_691_0,
author = {Martin Campos Pinto},
title = {Constructing exact sequences on non-conforming discrete spaces},
journal = {Comptes Rendus. Math\'ematique},
pages = {691--696},
publisher = {Elsevier},
volume = {354},
number = {7},
year = {2016},
doi = {10.1016/j.crma.2016.03.008},
language = {en},
}
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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