Cahn-Hilliard on Surfaces: A Numerical Study
Numerical Analysis
2017-02-28 v2
Abstract
The Cahn-Hilliard system has been used to describe a wide number of phase separation processes, from co-polymer systems to lipid membranes. In this work the convergence properties of a closest-point based scheme is investigated. In place of solving the original fourth-order system directly, two coupled second-order systems are solved. The system is solved using an incomplete Schur-decomposition as a preconditioner. The results indicate that with a sufficiently high-order time discretization the method only depends on the underlying spatial resolution.
Keywords
Cite
@article{arxiv.1612.00769,
title = {Cahn-Hilliard on Surfaces: A Numerical Study},
author = {Prerna Gera and David Salac},
journal= {arXiv preprint arXiv:1612.00769},
year = {2017}
}