Blank, Luise and Butz, Martin and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa
Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques.
Preprintreihe der Fakultät Mathematik 7/2010,
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 set approach. We
show several numerical computations also involving systems of parabolic variational inequalities.
|Item Type:||Monograph (Working Paper)|
|Institutions:|| Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||Optimization, Phase-field method, Allen-Cahn model, Cahn-
Hilliard model, variational inequalities, active set methods|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||05 May 2010 07:48|
|Last Modified:||20 Jul 2011 22:27|