TY - JOUR
T1 - Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System
AU - Yinhua Xia, Yan Xu & Chi-Wang Shu
JO - Communications in Computational Physics
VL - 2-4
SP - 821
EP - 835
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7765.html
KW - 
AB - <p style="text-align: justify;">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-Cahn 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.&nbsp;</p>