Finite-Volume Analysis for the Cahn-Hilliard equation with Dynamic boundary conditions

Flore Nabet (1)

1 I2M - Institut de Mathématiques de Marseille

This work is devoted to the convergence analysis of a finite-volume approximation of the 2D Cahn-Hilliard equation with dynamic boundary conditions. The method that we propose couples a 2d-finite-volume method in a bounded, smooth domain and a 1d-finite-volume method on its boundary. We prove convergence of the sequence of approximate solutions.

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

Flore Nabet. Finite-Volume Analysis for the Cahn-Hilliard equation with Dynamic boundary conditions. 2014. ⟨hal-00974585v1⟩