- AutorIn
- Andreas Günnel
- Roland Herzog
- Titel
- Optimal Control Problems in Finite-Strain Elasticity by Inner Pressure and Fiber Tension
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-qucosa-209295
- Quellenangabe
- Front. Appl. Math. Stat. 2:4. doi: 10.3389/fams.2016.00004
- Abstract (EN)
- 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.
- Andere Ausgabe
- DOI: 10.3389/fams.2016.00004
- Link zur Originalpublikation in der Zeitschrift "Frontiers in Applied Mathematics and Statistics"
Link: http://dx.doi.org/10.3389/fams.2016.00004 - Freie Schlagwörter (DE)
- Optimalsteuerung, Elastizität, quasi-Newton-Verfahren, Mehrgitter-Vorkonditionierung, Optimierung, Finite-Elemente-Methode, Technische Universität Chemnitz, Publikationsfonds
- Freie Schlagwörter (EN)
- optimal control, finite-strain elasticity, quasi-Newton method, multigrid preconditioning, optimization, finite element method, Technische Universität Chemnitz, Publication fund
- Klassifikation (DDC)
- 518
- Normschlagwörter (GND)
- Optimalsteuerung, Elastizität, Optimierung, Finite-Elemente-Methode
- Herausgeber (Institution)
- Technische Universität Chemnitz
- Verlag
- Frontiers Research Foundation
- URN Qucosa
- urn:nbn:de:bsz:ch1-qucosa-209295
- Veröffentlichungsdatum Qucosa
- 01.09.2016
- Dokumenttyp
- Artikel
- Sprache des Dokumentes
- Englisch