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

Jessica Bosch, Martin Stoll, Peter Benner

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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. © 2014 Elsevier Inc.
Original languageEnglish (US)
Pages (from-to)38-57
Number of pages20
JournalJournal of Computational Physics
Volume262
DOIs
StatePublished - Apr 2014
Externally publishedYes

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