TY - JOUR A1 - Makowski, Andreas A1 - Herzog, Roland T1 - Optimal Control of Large Deformation Elasticity by Fiber Tension JF - Proceedings in Applied Mathematics and Mechanics N2 - Object of our interest is an elastic body Ω ⊂ ℝ3 which we can deform by applying a tension along certain given short fibers inside the body. The deformation of the body is desribed by a hyperelastic model with polyconvex energy density and a special energy functional for the tension along the fibers. We seek to apply (possibly large) deformations to the body so that a desired shape is obtained. To this end, we formulate an optimal control problem for the fiber tension field. KW - partial differential equations, optimal control, finite-strain elasticity, quasi-Newton method, multigrid preconditioning Y1 - 2014 U6 - https://doi.org/10.1002/pamm.201410420 VL - 2014 IS - 14 SP - 879 EP - 880 ER -