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The operator-splitting method for Cahn-Hilliard is stable

Published 3 Jul 2021 in math.NA, cs.NA, and math.AP | (2107.01418v1)

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.

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