Return to search

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

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.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:ch1-qucosa-209295
Date01 September 2016
CreatorsGünnel, Andreas, Herzog, Roland
ContributorsFrontiers Research Foundation,, Technische Universität Chemnitz, Fakultät für Mathematik
PublisherUniversitätsbibliothek Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:article
Formatapplication/pdf, text/plain, application/zip
SourceFront. Appl. Math. Stat. 2:4. doi: 10.3389/fams.2016.00004

Page generated in 0.0022 seconds