A DISCONTINUOUS GALERKIN METHOD FOR THE CAHN-HILLIARD EQUATION

  • CHOO S. M. (School of Electrical Engineering, University of Ulsan) ;
  • LEE Y. J. (Department of Mathematics Education, Seoul National University)
  • Published : 2005.03.01

Abstract

The Cahn-Hilliard equation is modeled to describe the dynamics of phase separation in glass and polymer systems. A priori error estimates for the Cahn-Hilliard equation have been studied by the authors. In order to control accuracy of approximate solutions, a posteriori error estimation of the Cahn-Hilliard equation is obtained by discontinuous Galerkin method.

Keywords