An optimal control problem in polyconvex hyperelasticity

  • 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.
Metadaten
Author:Lars Lubkoll, Anton Schiela, Martin WeiserORCiD
Document Type:Article
Parent Title (English):SIAM J. Control Opt.
Volume:52
Issue:3
First Page:1403
Last Page:1422
Year of first publication:2014
Pagenumber:20
Preprint:urn:nbn:de:0297-zib-14745
DOI:https://doi.org/10.1137/120876629