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, M est une famille finie de sous-ensembles disjoints ouverts non connectés de ? (les "volumes de contrôle") tels que ? = ? K?M K. Pour tout K ? M, soit ?K = K\K la frontière de K. Soient m(K) > 0 la mesure de K et h K son diamètre

, Pour tout K ? M, il existe un sous-ensemble E K de E tel que ? K = ? ??E K ?. Pour tout ? ? E, nous notons M ? = {K, ? ? E K }. Nous supposons alors que, pour tout ? ? E, M ? a exactement un élément, puis ? ? ? ? (l'ensemble de ces interfaces, appelées interfaces extérieures frontières, est noté E ext ) où M ? a exactement deux éléments (l'ensemble de ces interfaces, appelées interfaces intérieures, est noté par E int )

P. Est-une-famille-de-points-de-?-indexés-par, M. Notés-p-=-(-x-k-)-k?m, L. Tout-k-?-m,-x-k-?-k-et-pour-tout-x-?-k, and . Propriété,

V. Chapitre, Résultats de convergence d'un schéma Volumes Finis multi-dimensionnel pour une équation parabolique semi-linéaire à retard

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R. Eymard, T. Gallouët, and R. Herbin, Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes, IMA J. Numer. Anal, vol.30, issue.4, p.132, 2010.

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