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    An optimal control problem in polyconvex hyperelasticity (2014)
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    Publication Date: 2019-01-29
    Description: 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.
    Language: English
    Type: article , doc-type:article
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