Kasumba, HenryKunisch, KarlLaurain, Antoine2019-01-102019-01-1020141463-9963https://depositonce.tu-berlin.de/handle/11303/8971http://dx.doi.org/10.14279/depositonce-8097Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.A bilevel shape optimization problem with the exterior Bernoulli free boundary problem as lowerlevel problem and the control of the free boundary as the upper-level problem is considered. Using the shape of the inner boundary as the control, we aim at reaching a specific shape for the free boundary. A rigorous sensitivity analysis of the bilevel shape optimization in the infinite-dimensional setting is performed. The numerical realization using two different cost functionals presented in this paper demonstrate the efficiency of the approach.en510 MathematikBernoulli free boundary problemshape optimizationmultilevel optimizationArticle1463-9971