Article ID Journal Published Year Pages File Type
5471573 Applied Mathematics Letters 2017 7 Pages PDF
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 are investigated. In place of solving the original fourth-order system directly, two coupled second-order systems are solved. The system is solved using an approximate 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.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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