A nonlinear CVFE scheme for an anisotropic ...
Type de document :
Communication dans un congrès avec actes
Titre :
A nonlinear CVFE scheme for an anisotropic degenerate nonlinear Keller-Segel model
Auteur(s) :
Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Ibrahim, Moustafa [Auteur]
American University of The Middle East [Eqaila]
Saad, Mazen [Auteur]
École Centrale de Nantes [ECN]
Laboratoire de Mathématiques Jean Leray [LMJL]
Reliable numerical approximations of dissipative systems [RAPSODI]
Ibrahim, Moustafa [Auteur]
American University of The Middle East [Eqaila]
Saad, Mazen [Auteur]
École Centrale de Nantes [ECN]
Laboratoire de Mathématiques Jean Leray [LMJL]
Titre de la manifestation scientifique :
18th European Conference on Mathematics for Industry
Ville :
Taormina
Pays :
Italie
Date de début de la manifestation scientifique :
2014
Titre de la revue :
Progress in Mathematics at ECMI 2014
Date de publication :
2016
Discipline(s) HAL :
Mathématiques [math]/Analyse numérique [math.NA]
Résumé en anglais : [en]
In this paper, we consider a nonlinear Control Volume Finite Element (CVFE) scheme to solve an anisotropic degenerate Keller-Segel model over general meshes. This scheme, whose construction is based on the Godunov scheme ...
Lire la suite >In this paper, we consider a nonlinear Control Volume Finite Element (CVFE) scheme to solve an anisotropic degenerate Keller-Segel model over general meshes. This scheme, whose construction is based on the Godunov scheme to approximate the degenerate diffusion fluxes provided by the conforming finite element reconstruction on a primal triangular mesh and on a nonclassical upwind finite volume mesh to approximate the other terms over a dual mesh, ensures the discrete maximum principle whatever the anisotropy of the problem and without any restriction on the transmissibility coefficients. Numerical experiment is provided with full anisotropic and heterogeneous diffusion tensors over general mesh.Lire moins >
Lire la suite >In this paper, we consider a nonlinear Control Volume Finite Element (CVFE) scheme to solve an anisotropic degenerate Keller-Segel model over general meshes. This scheme, whose construction is based on the Godunov scheme to approximate the degenerate diffusion fluxes provided by the conforming finite element reconstruction on a primal triangular mesh and on a nonclassical upwind finite volume mesh to approximate the other terms over a dual mesh, ensures the discrete maximum principle whatever the anisotropy of the problem and without any restriction on the transmissibility coefficients. Numerical experiment is provided with full anisotropic and heterogeneous diffusion tensors over general mesh.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Projet ANR :
Collections :
Source :