Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems  

作　　者：Feng Chen Jie Shen 

机构地区：[1]Department of Mathematics,Purdue University,West Lafayette,IN 47907-1957,USA

出　　处：《Communications in Computational Physics》2013年第5期1189-1208,共20页计算物理通讯（英文）

基　　金：partially supported by NSF grant DMS-0915066;AFOSR grant FA9550-11-1-0328.

摘　　要：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.

关 键 词：Spectral-Galerkin PHASE-FIELD ANISOTROPIC CAHN-HILLIARD stabilization coupled elliptic equations 

分 类 号：O17[理学—数学]