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Autoren:
Weiß, Olga; Weymuth, Monika 
Dokumenttyp:
Zeitschriftenartikel / Journal Article 
Titel:
On solving elliptic obstacle problems by constant abs-linearization 
Zeitschrift:
Results in Control and Optimization 
Jahrgang:
13 
Jahr:
2023 
Seiten von - bis:
100309 
Sprache:
Englisch 
Stichwörter:
Variational inequality ; Obstacle problem ; Constrained optimal control ; Finite element method ; Nonsmooth optimization ; Abs-linearization ; A priori error analysis 
Abstract:
We consider optimal control problems governed by an elliptic variational inequality of the first kind, namely the obstacle problem. The variational inequality is treated by penalization, which leads to optimization problems governed by a nonsmooth semi-linear elliptic PDE. The CALi algorithm is then applied for the efficient solution of these nonsmooth optimization problems. The special feature of the optimization algorithm CALi is the treatment of the nonsmooth Lipschitz-continuous operators ab...    »
 
ISSN:
2666-7207 
Article-ID:
100309 
Fakultät:
Fakultät für Bauingenieurwesen und Umweltwissenschaften 
Institut:
BAU 1 - Institut für Mathematik und Computergestützte Simulation 
Professur:
Apel, Thomas 
Open Access ja oder nein?:
Ja / Yes 
Art der OA-Lizenz:
CC BY-NC-ND 4.0