Optimal Control Problems in Finite-Strain Elasticity by Inner Pressure and Fiber Tension
Abstract
Optimal control problems for finite-strain elasticity are considered. An inner pressure or an inner fiber tension is acting as a driving force. Such internal forces are typical, for instance, for the motion of heliotropic plants, and for muscle tissue. Non-standard objective functions relevant for elasticity problems are introduced. Optimality conditions are derived on a formal basis, and a limited-memory quasi-Newton algorithm for their solution is formulated in function space. Numerical experiments confirm the expected mesh-independent performance- doc-type:article
- info:eu-repo/semantics/article
- doc-type:Text
- info:eu-repo/classification/ddc/518
- ddc:518
- Optimalsteuerung; Elastizität; Optimierung; Finite-Elemente-Methode
- Optimalsteuerung, Elastizität, quasi-Newton-Verfahren, Mehrgitter-Vorkonditionierung, Optimierung, Finite-Elemente-Methode, Technische Universität Chemnitz, Publikationsfonds
- optimal control, finite-strain elasticity, quasi-Newton method, multigrid preconditioning, optimization, finite element method, Technische Universität Chemnitz, Publication fund