A long-time stable fully discrete approximation of the Cahn-Hilliard equation with inertial term - Normandie Université Access content directly
Journal Articles DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SUPPLEMENT Year : 2011

A long-time stable fully discrete approximation of the Cahn-Hilliard equation with inertial term

Abstract

We prove the Lyapunov stability of a time and space discretization of the Cahn-Hilliard equation with inertial term. The space discretization is a mixed (or "splitting" finite element method with numerical integration which includes a standard finite difference approximation. The time discretization is the backward Euler scheme. The smallness assumption on the time step does not depend on the mesh step.

Dates and versions

hal-01777572 , version 1 (24-04-2018)

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Maurizio Grasselli, N. Lecoq, Morgan Pierre. A long-time stable fully discrete approximation of the Cahn-Hilliard equation with inertial term. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SUPPLEMENT, 2011, pp.543-552. ⟨10.3934/proc.2011.2011.543⟩. ⟨hal-01777572⟩
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