Blank, Luise and Butz, Martin and Garcke, Harald (2010) Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. EASIM: Control, Optimisation and Calculus of Variations, E-first.
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 ...
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|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||Cahn-Hilliard equation; active-set methods; semi-smooth Newton methods; gradient flows; PDE-constraint optimization; saddle point structure|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited on:||23 Mar 2010 08:26|
|Last modified:||13 Mar 2014 13:10|