[Sur la conservativité des méthodes de Galerkine centrées aux mailles]
Dans cette note, on étudie la conservativité de la méthode de Galerkine centrée aux mailles de Di Pietro (2012) [5] et on fournit une expression analytique pour le flux numérique. Le lien avec la méthode SUSHI de Eymard et al. (2010) [10] et avec les méthodes de Galerkine discontinues est aussi détaillé. Les résultats théoriques sont validés à la fois sur des maillages standard et polygonaux.
In this work we investigate the conservativity of the cell-centered Galerkin method of Di Pietro (2012) [5] and provide an analytical expression for the conservative flux. The relation with the SUSHI method of Eymard et al. (2010) [10] and with discontinuous Galerkin methods is also explored. The theoretical results are assessed on a numerical example using standard as well as general polygonal grids.
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@article{CRMATH_2013__351_3-4_155_0,
author = {Di Pietro, Daniele A.},
title = {On the conservativity of cell-centered {Galerkin} methods},
journal = {Comptes Rendus. Math\'ematique},
pages = {155--159},
publisher = {Elsevier},
volume = {351},
number = {3-4},
year = {2013},
doi = {10.1016/j.crma.2013.03.001},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2013.03.001/}
}
TY - JOUR AU - Di Pietro, Daniele A. TI - On the conservativity of cell-centered Galerkin methods JO - Comptes Rendus. Mathématique PY - 2013 SP - 155 EP - 159 VL - 351 IS - 3-4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2013.03.001/ DO - 10.1016/j.crma.2013.03.001 LA - en ID - CRMATH_2013__351_3-4_155_0 ER -
%0 Journal Article %A Di Pietro, Daniele A. %T On the conservativity of cell-centered Galerkin methods %J Comptes Rendus. Mathématique %D 2013 %P 155-159 %V 351 %N 3-4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2013.03.001/ %R 10.1016/j.crma.2013.03.001 %G en %F CRMATH_2013__351_3-4_155_0
Di Pietro, Daniele A. On the conservativity of cell-centered Galerkin methods. Comptes Rendus. Mathématique, Tome 351 (2013) no. 3-4, pp. 155-159. doi : 10.1016/j.crma.2013.03.001. http://www.numdam.org/articles/10.1016/j.crma.2013.03.001/
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