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Pré-Publication, Document De Travail Année : 2015

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 [7], we define a nonlinear correction of the diffusive terms to obtain a monotone scheme. We provide 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)

Identifiants

  • HAL Id : hal-01153975 , version 1

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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. 2015. ⟨hal-01153975v1⟩
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