Preconditioning for Allen–Cahn variational inequalities with non-local constraints
KAUST Grant NumberKUK-C1-013-04
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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.
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.
SponsorsThis publication is partially based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
JournalJournal of Computational Physics