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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.

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Metadaten
Author:Andreas Günnel, Roland Herzog
DOI:https://doi.org/10.3389/fams.2016.00004
Parent Title (English):Frontiers in Applied Mathematics and Statistics
Document Type:Article
Language:English
Year of publication:2016
Publishing Institution:Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt
Release Date:2023/10/02
Tag:partial differential equations, optimal control, finite-strain elasticity, quasi-Newton method, multigrid preconditioning
Volume:2
Institutes and faculty:Fakultäten / Fakultät für angewandte Natur- und Geisteswissenschaften
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International
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