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:qucosa:20544
Date01 September 2016
CreatorsGünnel, Andreas, Herzog, Roland
ContributorsTechnische Universität Chemnitz
PublisherFrontiers Research Foundation
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:article, info:eu-repo/semantics/article, doc-type:Text
SourceFront. Appl. Math. Stat. 2:4. doi: 10.3389/fams.2016.00004
Rightsinfo:eu-repo/semantics/openAccess
Relation10.3389/fams.2016.00004, 2297-4687

Page generated in 0.0022 seconds