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

Blank, Luise and Sarbu, Lavinia and Stoll, Martin (2010) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Preprintreihe der Fakultät Mathematik 11/2010, Working Paper. (Unpublished)

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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 ...

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Item Type:Monograph (Working Paper)
Date:2010
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
65F10MSC
65N22MSC
65F50MSC
76D07MSC
Keywords:PDE-constrained optimization, Allen-Cahn model, Newton method, Saddle point systems, Preconditioning, Krylov subspace solver
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:19 Jul 2010 08:48
Last Modified:13 Mar 2014 13:52
Item ID:15924
Owner Only: item control page
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