Preprint No. MPIMD/13-01

Title: Fast solution of Cahn-Hilliard Variational Inequalities using Implicit Time Discretization and Finite Elements

Author(s): Jessica Bosch, Martin Stoll, Peter Benner

Email: stollm@mpi-magdeburg.mpg.de

Date: 2013-01-28

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 eff ective Schur complement approximation. Numerical results illustrate the competitiveness of this approach.

BibTeX:

@TECHREPORT{MPIMD13-01,
author = {Jessica Bosch and Martin Stoll and Peter Benner},
title = {Fast solution of Cahn-Hilliard Variational Inequalities using Implicit Time Discretization and Finite Elements},
number = {MPIMD/13-01},
month = jan,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}


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