## An optimal control problem in polyconvex hyperelasticity

Please always quote using this URN: urn:nbn:de:0297-zib-14745
• We consider a shape implant design problem that arises in the context of facial surgery. We introduce a reformulation as an optimal control problem, where the control acts as a boundary force. The state is modelled as a minimizer of a polyconvex hyperelastic energy functional. We show existence of optimal solutions and derive - on a formal level - first order optimality conditions. Finally, preliminary numerical results are presented.

$Rev: 13581$