Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditions

Flore Nabet (1)

1 I2M - Institut de Mathématiques de Marseille

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

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. Congrés SMAI 2013, Mar 2014, Carry-le-Rouet, France. ⟨hal-00872690v3⟩