A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy
ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 5, pp. 1003-1026.

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.

DOI : 10.1051/m2an/2009015
Classification : 65M60, 65M15, 65M50, 35K55
Mots-clés : Cahn-Hilliard equation, obstacle free energy, linear finite elements, a posteriori estimates, adaptive numerical methods 
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     title = {A posteriori estimates for the {Cahn-Hilliard} equation with obstacle free energy},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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Baňas, Ľubomír; Nürnberg, Robert. A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy. ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 5, pp. 1003-1026. doi : 10.1051/m2an/2009015. http://archive.numdam.org/articles/10.1051/m2an/2009015/

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