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math.OC2019
Efficient Techniques for Shape Optimization with Variational Inequalities using Adjoints
Daniel Luft, Volker H. Schulz, Kathrin Welker
In general, standard necessary optimality conditions cannot be formulated in a straightforward manner for semi-smooth shape optimization problems. In this paper, we consider shape…
math.OC2019
Computational Aspects for Interface Identification Problems with Stochastic Modelling
Caroline Geiersbach, Estefania Loayza, Kathrin Welker
In this paper, a shape optimization problem constrained by a random elliptic partial differential equation with a pure Neumann boundary is presented. The model is motivated by appl…