Local Discontinuous Galerkin Methods for the Cahn-Hilliard Type Equations
UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA HEFEI
Pagination or Media Count:
In this paper we develop local discontinuous Galerkin LDG methods for the fourth-order nonlinear Cahn-Hilliard 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 the numerical results illustrate the accuracy and capability of the methods.
- Numerical Mathematics