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Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques

URN to cite this document:
urn:nbn:de:bvb:355-epub-146570
Blank, Luise ; Butz, Martin ; Garcke, Harald ; Sarbu, Lavinia ; Styles, Vanessa
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Date of publication of this fulltext: 05 May 2010 07:48


Abstract

Parabolic variational inequalities of Allen-Cahn and Cahn- Hilliard type are solved using methods involving constrained optimization. Time discrete variants are formulated with the help of Lagrange multipliers for local and non-local equality and inequality constraints. Fully discrete problems resulting from finite element discretizations in space are solved with the help of a primal-dual active ...

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