About: A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/m2an/2009/volume_43/issue_5/w
Subject	linear finite elements Nonlinear parabolic equations Error bounds Mesh generation and refinement Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods a posteriori estimates obstacle free energy adaptive numerical methods Cahn-Hilliard equation
Title	A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy
Date	2009-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/2009/volume_43/issue_5/m2an0802/m/print http://hub.abes.fr/edp/periodical/m2an/2009/volume_43/issue_5/m2an0802/m/web
related by	http://hub.abes.fr/edp/periodical/m2an/2009/volume_43/issue_5/m2an0802/authorship/1 http://hub.abes.fr/edp/periodical/m2an/2009/volume_43/issue_5/m2an0802/authorship/2
Author	Baňas, Ľubomír Nürnberg Robert
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.
article type	research-article
publisher identifier	m2an0802
Date Copyrighted	2009-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2009
Rights Holder	EDP Sciences, SMAI
is part of this journal	RAIRO. Analyse numérique
is primary topic of	http://hub.abes.fr/edp/periodical/m2an/2009/volume_43/issue_5/m2an0802/w/record

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