Friday, 15:45 - 16:10 h, Room: MA 415


Claudia Schillings
On the influence of robustness measures on shape optimization with stochastic uncertainties

Coauthor: Volker Schulz


The unavoidable presence of uncertainties poses several difficulties to the numerical treatment of optimization tasks. In this talk, we discuss a general framework attacking the additional computational complexity of the treatment of uncertainties within optimization problems. Appropriate measure of robustness and a proper treatment of constraints to reformulate the underlying deterministic problem are investigated. In order to solve the resulting robust optimization problems, we propose efficient discretization techniques of the probability space as well as algorithmic approaches based on multiple-setpoint ideas in combination with one-shot methods. Finally, numerical results considering optimal aerodynamic design under shape uncertainties will be presented.


Talk 2 of the invited session Fri.3.MA 415
"PDE constrained optimization with uncertain data" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]


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