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math.OC2019
A Stochastic Gradient Method with Mesh Refinement for PDE Constrained Optimization under Uncertainty
Caroline Geiersbach, Winnifried Wollner
Models incorporating uncertain inputs, such as random forces or material parameters, have been of increasing interest in PDE-constrained optimization. In this paper, we focus on th…
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…