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Non-local Allen-Cahn systems: Analysis and a primal dual active set method
Blank, Luise, Garcke, Harald, Sarbu, Lavinia und Styles, Vanessa (2011) Non-local Allen-Cahn systems: Analysis and a primal dual active set method. Preprintreihe der Fakultät Mathematik 2/2011, Working Paper. (Unveröffentlicht)Veröffentlichungsdatum dieses Volltextes: 18 Apr 2011 07:00
Monographie
DOI zum Zitieren dieses Dokuments: 10.5283/epub.20502
Zusammenfassung
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 ...
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 shown by interpreting the approach as a semi-smooth Newton method and numerical simulations are presented demonstrating its efficiency.
Beteiligte Einrichtungen
Details
| Dokumentenart | Monographie (Working Paper) | ||||||||||||||
| Schriftenreihe der Universität Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||||
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| Band: | 2/2011 | ||||||||||||||
| Datum | 2011 | ||||||||||||||
| Institutionen | Mathematik > Prof. Dr. Harald Garcke | ||||||||||||||
| Klassifikation |
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| Stichwörter / Keywords | Allen-Cahn systems, non-local constraints, variational inequality, vector-valued obstacle problems, primal-dual active set method, semi-smooth Newton method | ||||||||||||||
| Dewey-Dezimal-Klassifikation | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||||||||||||
| Status | Unveröffentlicht | ||||||||||||||
| Begutachtet | Nein, diese Version wurde noch nicht begutachtet (bei preprints) | ||||||||||||||
| An der Universität Regensburg entstanden | Ja | ||||||||||||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-205022 | ||||||||||||||
| Dokumenten-ID | 20502 |
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