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A stochastic gradient method for a class of nonlinear PDE-constrained optimal control problems under uncertainty
Caroline Geiersbach, Teresa Scarinci
The study of optimal control problems under uncertainty plays an important role in scientific numerical simulations. This class of optimization problems is strongly utilized in eng…
Optimality Conditions and Moreau--Yosida Regularization for Almost Sure State Constraints
Caroline Geiersbach, Michael Hintermüller
We analyze a potentially risk-averse convex stochastic optimization problem, where the control is deterministic and the state is a Banach-valued essentially bounded random variable…
PDE-constrained shape optimization: towards product shape spaces and stochastic models
Caroline Geiersbach, Estefania Loayza-Romero, Kathrin Welker
Shape optimization models with one or more shapes are considered in this chapter. Of particular interest for applications are problems in which where a so-called shape functional i…