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

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}.

15 pages. arXiv admin note: text overlap with arXiv:2107.01418

References in corpus (3)

• Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials
• Stability analysis for the Implicit-Explicit discretization of the Cahn-Hilliard equation
• The operator-splitting method for Cahn-Hilliard is stable

Cited by in corpus (1)

• Negative time splitting is stable