An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions

Flore Nabet (1)

1 RAPSODI - Reliable numerical approximations of dissipative systems

In the paper we consider a finite-volume approximation for the Cahn-Hilliard equation with dynamic boundary conditions. We prove an error estimate for the fully-discrete scheme. We also give numerical simulations which validate the theoretical result.

Mots clés: Cahn-Hilliard equation; dynamic boundary condition; finite-volume method; error estimate

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

Flore Nabet. An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions. 2016. ⟨hal-01273945v1⟩