AUTHOR=Günnel Andreas , Herzog Roland 

TITLE=Optimal Control Problems in Finite-Strain Elasticity by Inner Pressure and Fiber Tension

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=2

YEAR=2016

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2016.00004

DOI=10.3389/fams.2016.00004

ISSN=2297-4687

ABSTRACT=<p>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.</p>