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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2017

Preserving monotony of combined edge finite volume–finite element scheme for a bone healing model on general mesh

Résumé

In this article, we propose and analyse a combined finite volume–finite element scheme for a bone healing model. This choice of discretization allows to take into account anisotropic diffusions without imposing any restrictions on the mesh. Moreover, following the work of C. Cancès et al. 2013, we define a nonlinear correction of the diffusive terms to obtain a monotone scheme. We provide, under a numerical assumption, a complete convergence analysis of this corrected scheme, and present some numerical experiments which show its good behavior.
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Dates et versions

hal-01153975 , version 1 (28-05-2015)
hal-01153975 , version 2 (20-10-2016)

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Marianne Bessemoulin-Chatard, Mazen Saad. Preserving monotony of combined edge finite volume–finite element scheme for a bone healing model on general mesh. Journal of Computational and Applied Mathematics, 2017, 309, pp.287-311. ⟨10.1016/j.cam.2016.07.004⟩. ⟨hal-01153975v2⟩
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