Pointwise error estimate for a noncoercive system of quasi-variational inequalities related to the management of energy production.

Boulbrachene, Messaoud

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estimates for the Cahn–Hilliard equation with obstacle free energy

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We derive estimates for a discretization in space of the standard Cahn–Hilliard equation with a double obstacle free energy. The derived estimates are robust and efficient, and in practice are combined with a heuristic time step adaptation. We present numerical experiments in two and three space dimensions and compare our method with an existing heuristic spatial mesh adaptation algorithm.