Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979395 | Physica A: Statistical Mechanics and its Applications | 2009 | 13 Pages |
Abstract
We consider an unconditionally gradient stable scheme for solving the Allen–Cahn equation representing a model for anti-phase domain coarsening in a binary mixture. The continuous problem has a decreasing total energy. We show the same property for the corresponding discrete problem by using eigenvalues of the Hessian matrix of the energy functional. We also show the pointwise boundedness of the numerical solution for the Allen–Cahn equation. We describe various numerical experiments we performed to study properties of the Allen–Cahn equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jeong-Whan Choi, Hyun Geun Lee, Darae Jeong, Junseok Kim,