Blank, Luise and Sarbu, Lavinia and Stoll, Martin (2012) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. JOURNAL OF COMPUTATIONAL PHYSICS, 231 (16). pp. 5406-5420. ISSN 0021-9991,
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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. (C) 2012 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ACTIVE-SET METHOD; MONOTONE MULTIGRID METHODS; SADDLE-POINT PROBLEMS; INDEFINITE SYSTEMS; LINEAR-SYSTEMS; OPTIMIZATION; EQUATIONS; SEGMENTATION; SIMULATIONS; ALGORITHM; PDE-constrained optimization; Allen-Cahn model; Newton method; Saddle point systems; Preconditioning; Krylov subspace solver |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Luise Blank |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 May 2020 05:39 |
| Last Modified: | 12 May 2020 05:39 |
| URI: | https://pred.uni-regensburg.de/id/eprint/18568 |
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