Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Mathematische Modellierung und partielle Differentialgleichungen

 

Professor Dr. Winnifried Wollner
Technische Universität Darmstadt
 
spricht am
 
Donnerstag, 18. Mai 2017
 
um
 
15:45 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Optimal Control for Fracture Propagation Modeled by a Phase-Field Approach«

Abstract:
We are concerned with an optimal control problem governed by a fracture model using a phase-field technique. To avoid the non-differentiability due to the irreversibility constraint, the fracture model is relaxed using a penalization approach. Due to the removal of L∞ bounds on the phase-field, well posedness of the penalized fracture model needs to be analyzed. Existence of a solution to the penalized fracture model is shown and utilized to establish existence of at least one solution for the regularized optimal control problem.
This is joint work with Ira Neitzel (Bonn University) and Thomas Wick (École Polytechnique).

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Malte Peter


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