The Mathematical Institute, University of Oxford, Eprints Archive

Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements

Bosch, J. and Stoll, M. and Benner, P. (2012) Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Journal of Computational Physics . (Submitted)

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Abstract

We consider the e�cient 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 e�ective Schur complement approximation. Numerical results illustrate the competitiveness of this approach.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1673
Deposited By: Peter Hudston
Deposited On:22 Feb 2013 13:31
Last Modified:29 May 2015 19:22

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