We derive a posteriori 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. © 2009 EDP Sciences SMAI.
A posteriori estimates for the cahn-hilliard equation with obstacle free energy / Banas, L.; Nürnberg, R.. - In: MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE. - ISSN 0764-583X. - 43:5(2009), pp. 1003-1026. [10.1051/m2an/2009015]
A posteriori estimates for the cahn-hilliard equation with obstacle free energy
Nürnberg R.
2009-01-01
Abstract
We derive a posteriori 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. © 2009 EDP Sciences SMAI.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
