Preconditioning for Allen–Cahn variational inequalities with non-local constraints

Handle URI:
http://hdl.handle.net/10754/599378
Title:
Preconditioning for Allen–Cahn variational inequalities with non-local constraints
Authors:
Blank, Luise; Sarbu, Lavinia; Stoll, Martin
Abstract:
The solution of Allen-Cahn variational inequalities with mass constraints is of interest in many applications. This problem can be solved both in its scalar and vector-valued form as a PDE-constrained optimization problem by means of a primal-dual active set method. At the heart of this method lies the solution of linear systems in saddle point form. In this paper we propose the use of Krylov-subspace solvers and suitable preconditioners for the saddle point systems. Numerical results illustrate the competitiveness of this approach. © 2012 Elsevier Inc.
Citation:
Blank L, Sarbu L, Stoll M (2012) Preconditioning for Allen–Cahn variational inequalities with non-local constraints. Journal of Computational Physics 231: 5406–5420. Available: http://dx.doi.org/10.1016/j.jcp.2012.04.035.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Jun-2012
DOI:
10.1016/j.jcp.2012.04.035
Type:
Article
ISSN:
0021-9991
Sponsors:
This publication is partially based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
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Full metadata record

DC FieldValue Language
dc.contributor.authorBlank, Luiseen
dc.contributor.authorSarbu, Laviniaen
dc.contributor.authorStoll, Martinen
dc.date.accessioned2016-02-28T05:49:57Zen
dc.date.available2016-02-28T05:49:57Zen
dc.date.issued2012-06en
dc.identifier.citationBlank L, Sarbu L, Stoll M (2012) Preconditioning for Allen–Cahn variational inequalities with non-local constraints. Journal of Computational Physics 231: 5406–5420. Available: http://dx.doi.org/10.1016/j.jcp.2012.04.035.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2012.04.035en
dc.identifier.urihttp://hdl.handle.net/10754/599378en
dc.description.abstractThe solution of Allen-Cahn variational inequalities with mass constraints is of interest in many applications. This problem can be solved both in its scalar and vector-valued form as a PDE-constrained optimization problem by means of a primal-dual active set method. At the heart of this method lies the solution of linear systems in saddle point form. In this paper we propose the use of Krylov-subspace solvers and suitable preconditioners for the saddle point systems. Numerical results illustrate the competitiveness of this approach. © 2012 Elsevier Inc.en
dc.description.sponsorshipThis publication is partially based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherElsevier BVen
dc.subjectAllen-Cahn modelen
dc.subjectKrylov subspace solveren
dc.subjectNewton methoden
dc.subjectPDE-constrained optimizationen
dc.subjectPreconditioningen
dc.subjectSaddle point systemsen
dc.titlePreconditioning for Allen–Cahn variational inequalities with non-local constraintsen
dc.typeArticleen
dc.identifier.journalJournal of Computational Physicsen
dc.contributor.institutionUniversitat Regensburg, Regensburg, Germanyen
dc.contributor.institutionMax Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germanyen
kaust.grant.numberKUK-C1-013-04en
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