Abstract

We carry out rigorous error analysis for some energy stable time discretization schemes developed in Shen and Yang (SIAM J Sci Comput 32(3):1159–1179, 2010) for a Cahn–Hilliard phase-field model and in Shen and Yang (Chin Ann Math Ser B 31(5):743–758, 2010) for an Allen–Cahn phase-field model.

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