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Non-local Allen-Cahn systems: Analysis and a primal dual active set method

Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Styles, Vanessa (2011) Non-local Allen-Cahn systems: Analysis and a primal dual active set method. Preprintreihe der Fakultät Mathematik 2/2011, Working Paper. (Unpublished)

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Abstract

We show existence and uniqueness of a solution for the non-local vector-valued Allen-Cahn variational inequality in a formulation involving Lagrange multipliers for local and non-local constraints. Furthermore, we propose and analyze a primal-dual active set method for local and non-local vector-valued Allen-Cahn variational inequalities. Convergence of the primal-dual active set algorithm is ...

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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
35K55MSC
65K10MSC
90C33MSC
90C53MSC
82C24MSC
65M60MSC
Keywords:Allen-Cahn systems, non-local constraints, variational inequality, vector-valued obstacle problems, primal-dual active set method, semi-smooth Newton method
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Eva Ruetz
Deposited On:18 Apr 2011 07:00
Last Modified:13 Mar 2014 17:14
Item ID:20502
Owner Only: item control page
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