Local discontinuous Galerkin methods for the Cahn-Hilliard type equations
In this paper, we develop local discontinuous Galerkin (LDG) methods for the fourth order nonlinear Cahn-Hilliar equation and system. The energy stability of the LDG methods is proved for the general nonlinear case. Numerical examples for the Cahn-Hilliard equation and the Cahn-Hilliard system in one and two dimensions are presented and if numerical results illustrate the accuracy and capability of the methods. (C) 2007 Elsevier Inc. All rights reserved.
local discontinuous galerkin methods stability cahn-hilliard equation cahn-hilliard system