On the energy stability of Strang-splitting for Cahn-Hilliard
Numerical Analysis
2021-07-13 v1 Numerical Analysis
Analysis of PDEs
Abstract
We consider a Strang-type second order operator-splitting discretization for the Cahn-Hilliard equation. We introduce a new theoretical framework and prove uniform energy stability of the numerical solution and persistence of all higher Sobolev norms. This is the first strong stability result for second order operator-splitting methods for the Cahn-Hilliard equation. In particular we settle several long-standing open issues in the work of Cheng, Kurganov, Qu and Tang \cite{Tang15}.
Keywords
Cite
@article{arxiv.2107.05349,
title = {On the energy stability of Strang-splitting for Cahn-Hilliard},
author = {Dong Li and Chaoyu Quan},
journal= {arXiv preprint arXiv:2107.05349},
year = {2021}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:2107.01418