Display Abstract

Title A numerical analysis of the Cahn-Hilliard equation with non-permeable walls

Name Madalina Petcu
Country France
Email Madalina.Petcu@math.univ-poitiers.fr
Co-Author(s) Laurence Cherfils
Submit Time 2014-02-27 10:26:20
Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
In this talk we consider the numerical analysis of the Cahn-Hilliard equation in a bounded domain with non-permeable walls, endowed with dynamic-type of boundary conditions. The dynamic-type boundary conditions that we consider were proposed by Goldstein, Miranville and Schimperna in order to describe the interactions with the wall of a binary material. The equation is semi-discretized using a finite element method for the space and error estimates between the exact and the approximation solution are obtained. We also prove the stability of a fully discrete problem based on the backward Euler scheme for the time discretization.