Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System

作者：Xia Yinhua; Xu Yan; Shu Chi Wang^*

来源：Communications in Computational Physics, 2009, 5(2-4): 821-835.

• Allen-Cahn/Cahn-Hilliard system
• local discontinuous Galerkin method
• free energy
• stability

In this paper, we consider the application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. The method in this paper extends the local discontinuous Galerkin method in [10] to the more general application system which is coupled with the Allen-Calm and Cahn-Hilliard equations. Similar energy stability result as that in [10] is presented. Numerical results for the nonlinear problems which include the Allen-Cahn/Cahn-Hilliard system for one-dimensional and two-dimensional cases demonstrate the accuracy and capability of the numerical method.

• 出版日期2009-2
• 单位中国科学技术大学