VeranstaltungsortAlpen-Adria-Universität KlagenfurtI.2.57Veranstalter Institut für MathematikBeschreibungThema: On the existence of S-Diophantine quadruplesVortragende(r)Volker Ziegler (Universität Salzburg)KontaktSenka Haznadar (senka.haznadar@aau.at)

VeranstaltungsortI.1.44Veranstalter Institut für RomanistikBeschreibungIm Rahmen der Sommerschule ‘Philologie romane et édition des textes’ (16.-21. September 2018) laden das Institut für Romanistik und das Zentrum für romanistische Mediävistik (ZRM) zum öffentlichen Vortrag ein.Vortragende(r)Prof. Dr. Olivier Bertrand (Nancy)KontaktUniv.-Prof. Dr. Raymund Wilhelm (Raymund.Wilhelm@aau.at)

VeranstaltungsortAlpen-Adria-Universität KlagenfurtI.2.01Veranstalter Institut für MathematikBeschreibungThema: Optimal Control of Phase-Field Fracture EvolutionKurzfassung: 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 WickVortragende(r)Winnifried Wollner KontaktSenka Haznadar (senka.haznadar@aau.at)