On the energy stability of Strang-splitting for Cahn-Hilliard

• Published in: arXiv.org
• Main Authors: Li, Dong, Quan, Chaoyu
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.07.2021
• Subjects: Norms; Splitting; Stability

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 se...