A nonlinear CVFE scheme for an anisotropic ...
Document type :
Communication dans un congrès avec actes
Title :
A nonlinear CVFE scheme for an anisotropic degenerate nonlinear Keller-Segel model
Author(s) :
Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Ibrahim, Moustafa [Auteur]
American University of The Middle East [Eqaila]
Saad, Mazen [Auteur]
Laboratoire de Mathématiques Jean Leray [LMJL]
École Centrale de Nantes [ECN]
Reliable numerical approximations of dissipative systems [RAPSODI]
Ibrahim, Moustafa [Auteur]
American University of The Middle East [Eqaila]
Saad, Mazen [Auteur]
Laboratoire de Mathématiques Jean Leray [LMJL]
École Centrale de Nantes [ECN]
Conference title :
18th European Conference on Mathematics for Industry
City :
Taormina
Country :
Italie
Start date of the conference :
2014
Journal title :
Progress in Mathematics at ECMI 2014
Publication date :
2016
HAL domain(s) :
Mathématiques [math]/Analyse numérique [math.NA]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
ANR Project :
Collections :
Source :