A posteriori error analysis for the Cahn-Hilliard equation

Document Type : Research Article


1 Faculty of Mathematical Sciences, Shahrood University of Thechnology, Shahrood, Iran

2 Department of Mathematical Sciences, Chalmers University of Technology, Goteborg, Sweden


The Cahn-Hilliard equation is discretized by a Galerkin finite element  method based on continuous piecewise linear functions in space and discontinuous piecewise constant functions in time. A posteriori error estimates are proved by using the methodology of dual weighted residuals.