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On the energy stability of Strang-splitting for Cahn-Hilliard (2107.05349v1)
Published 12 Jul 2021 in math.NA, cs.NA, and math.AP
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}.