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

URN to cite this document:
urn:nbn:de:bvb:355-epub-159249
DOI to cite this document:
10.5283/epub.15924
Blank, Luise ; Sarbu, Lavinia ; Stoll, Martin
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Date of publication of this fulltext: 19 Jul 2010 08:48


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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