@Article{CiCP-13-1189, author = {}, title = {Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {5}, pages = {1189--1208}, abstract = {

We develop in this paper efficient and robust numerical methods for solving anisotropic Cahn-Hilliard systems. We construct energy stable schemes for the time discretization of the highly nonlinear anisotropic Cahn-Hilliard systems by using a stabilization technique. At each time step, these schemes lead to a sequence of linear coupled elliptic equations with constant coefficients that can be efficiently solved by using a spectral-Galerkin method. We present numerical results that are consistent with earlier work on this topic, and also carry out various simulations, such as the linear bi-Laplacian regularization and the nonlinear Willmore regularization, to demonstrate the efficiency and robustness of the new schemes.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.101111.110512a}, url = {http://global-sci.org/intro/article_detail/cicp/7270.html} }