@Article{CiCP-5-821,
author = {Yinhua Xia, Yan Xu and Chi-Wang Shu},
title = {Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {2-4},
pages = {821--835},
abstract = {<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>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7765.html}
}