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Non-local Allen-Cahn systems: Analysis and a primal dual active set method

URN to cite this document:
urn:nbn:de:bvb:355-epub-205022
DOI to cite this document:
10.5283/epub.20502
Blank, Luise ; Garcke, Harald ; Sarbu, Lavinia ; Styles, Vanessa
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Date of publication of this fulltext: 18 Apr 2011 07:00


Abstract

We show existence and uniqueness of a solution for the non-local vector-valued Allen-Cahn variational inequality in a formulation involving Lagrange multipliers for local and non-local constraints. Furthermore, we propose and analyze a primal-dual active set method for local and non-local vector-valued Allen-Cahn variational inequalities. Convergence of the primal-dual active set algorithm is ...

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