1474
eng
reportzib
0
2012-02-24
2012-02-24
--
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.
1438-0064
12-08
urn:nbn:de:0297-zib-14745
Lars Lubkoll
Lars Lubkoll
Anton Schiela
Martin Weiser
ZIB-Report
12-08
eng
uncontrolled
polyconvex elasticity
eng
uncontrolled
implant design
eng
uncontrolled
optimal control
Optimal control problems involving partial differential equations
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Nonlinear elasticity
Numerical Mathematics
Computational Medicine
Weiser, Martin
FacialSurgery
MATHEON-A17
ZIB-Kaskade7
https://opus4.kobv.de/opus4-zib/files/1474/ZR-12-08.pdf