The operator-splitting method for Cahn-Hilliard is stable
Numerical Analysis
2021-07-06 v1 Numerical Analysis
Analysis of PDEs
Abstract
We prove energy stability of a standard operator-splitting method for the Cahn-Hilliard equation. We establish uniform bound of Sobolev norms of the numerical solution and convergence of the splitting approximation. This is the first unconditional energy stability result for the operator-splitting method for the Cahn-Hilliard equation. Our analysis can be extended to many other models.
Cite
@article{arxiv.2107.01418,
title = {The operator-splitting method for Cahn-Hilliard is stable},
author = {Dong Li and Chaoyu Quan},
journal= {arXiv preprint arXiv:2107.01418},
year = {2021}
}
Comments
15 pages