FINITE VOLUME METHOD FOR THE CAHN-HILLIARD EQUATION WITH DYNAMIC BOUNDARY CONDITIONS

Flore Nabet (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

In this paper, we investigate a numerical scheme for solving a diphasic Cahn-Hilliard model with dynamic boundary conditions. We propose a finite volume method for the space discretization and we prove existence and convergence results. We also present numerical simulations to show the influence of these boundary conditions.

Mots clés: Cahn-Hilliard equation; finite volume; dynamic boundary conditions; numerical scheme

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Flore Nabet. FINITE VOLUME METHOD FOR THE CAHN-HILLIARD EQUATION WITH DYNAMIC BOUNDARY CONDITIONS. 2013. ⟨hal-00872690v2⟩