Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method

URN to cite this document:: urn:nbn:de:bvb:355-epub-137582
DOI to cite this document:: 10.5283/epub.13758

Blank, Luise ; Butz, Martin ; Garcke, Harald

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Date of publication of this fulltext: 23 Mar 2010 08:26

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Abstract

The Cahn-Hilliard variational inequality is a non-standard parabolic variational inequality of fourth order for which straightforward numerical approaches cannot be applied. We propose a primal-dual active set method which can be interpreted as a semi-smooth Newton method as solution technique for the discretized Cahn-Hilliard variational inequality. A (semi-)implicit Euler discretization is used ...