Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements / Jessica Bosch, Martin Stoll, Peter Benner
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Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements
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870428152
URN
urn:nbn:de:gbv:3:2-64140
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, January 28, 2013
Content
1 Online-Ressource (34 Seiten = 1,94 MB) : Diagramme
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Language
eng
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Abstract
Abstract: We consider the efficient solution of the Cahn-Hilliard variational inequality using an implicit time discretization, which is formulated as an optimal control problem with pointwise constraints on the control. By applying a semi-smooth Newton method combined with a Moreau-Yosida regularization technique for handling the control constraints we show superlinear convergence in function space. At the heart of this method lies the solution of large and sparse linear systems for which we propose the use of preconditioned Krylov subspace solvers using an effective Schur complement approximation. Numerical results illustrate the competitiveness of this approach.
Series
Max Planck Institute Magdeburg Preprints ; 13-01 ppn:870173030