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

Luise Blank, Lavinia Sarbu, Martin Stoll

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)5406-5420
Number of pages15
JournalJournal of Computational Physics
Issue number16
StatePublished - Jun 2012
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: 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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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