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

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.

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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 ...

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Item Type:Article
Date:2010
Institutions:Mathematics > Prof. Dr. Harald Garcke
Identification Number:
ValueType
10.1051/cocv/2010032DOI
Classification:
NotationType
UNSPECIFIED
UNSPECIFIED
Keywords:Cahn-Hilliard equation; active-set methods; semi-smooth Newton methods; gradient flows; PDE-constraint optimization; saddle point structure
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Eva Ruetz
Deposited On:23 Mar 2010 08:26
Last Modified:13 Mar 2014 13:10
Item ID:13758
Owner Only: item control page

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