Vortrag im Rahmen des Doctoral Seminar in Mathematics von Herrn Winnifried Wollner (TU Darmstadt)
Veranstaltungsort
Alpen-Adria-Universität Klagenfurt
I.2.01
Veranstalter
Institut für Mathematik
Beschreibung
Thema: Optimal Control of Phase-Field Fracture Evolution
Kurzfassung: Within this talk, we will address optimization problems governed by phase-field fracture/damage processes. The presence of an irreversibility of the fracture growth gives rise to a nonsmooth system of equations. To derive optimality conditions we introduce an additional regularization and show that the resulting optimization problem is well-posed. We will discuss first order necessary optimality conditions and the corresponding constraint qualifications needed. Finally, we will see, that a quadratic approximation to the optimization problem is always solvable. Further, to allow for the analysis of finite dimensional approximations to this problem, we provide a new regularity resulting providing improved differentiability of elliptic systems with non-smooth coefficients. We will finally give an outlook on the resulting discretization error estimates. This is joint work with: Robert Haller-Dintelmann, Hannes Meinlschmidt, Masoumeh Mohammadi, Ira Neitzel, Thomas Wick
Vortragende(r)
Winnifried Wollner
Kontakt
Senka Haznadar (senka [dot] haznadar [at] aau [dot] at)
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