Authors: Sheng-Gwo Chen, Jyh-Yang Wu
Abstract:In this paper, we introduce a simple effective numerical method for solving the Cahn-Hilliard equation on curved regular surfaces. Instead of using the finite element method, we follow the traditional way to approximate the regular surfaces under consideration by triangular meshes. The key idea of our algorithm is to develop an intrinsic and unified way to compute directly the partial derivatives of functions defined on triangular meshes. Most importantly, the conservational property of mass on triangular meshes for the Cahn-Hilliard equation is fulfilled.
Keywords: component; LTL configuration method; Cahn- Hilliard equation; Conservational property.