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.
Author: | Andreas Günnel, Roland Herzog |
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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): | Creative Commons - CC BY - Namensnennung 4.0 International |