@Article{CiCP-5-2-4, author = {}, 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 = {

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. 

}, issn = {1991-7120}, doi = {https://doi.org/2009-CiCP-7765}, url = {https://global-sci.com/article/81117/application-of-the-local-discontinuous-galerkin-method-for-the-allen-cahncahn-hilliard-system} }