- AutorIn
- Martin K. Bernauer
- Roland Herzog
- Titel
- Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-qucosa-62014
- Schriftenreihe
- Chemnitz Scientific Computing Preprints
- Bandnummer
- 10-04
- Erstveröffentlichung
- 2010
- ISSN
- 1864-0087
- Abstract (EN)
- Optimal control (motion planning) of the free interface in classical two-phase Stefan problems is considered. The evolution of the free interface is modeled by a level set function. The first-order optimality system is derived on a formal basis. It provides gradient information based on the adjoint temperature and adjoint level set function. Suitable discretization schemes for the forward and adjoint systems are described. Numerical examples verify the correctness and flexibility of the proposed scheme.
- Andere Ausgabe
- Chemnitz Scientific Computing Preprints
Link: http://www.tu-chemnitz.de/mathematik/csc/ - Freie Schlagwörter (DE)
- Optimalsteuerung
- Freie Schlagwörter (EN)
- optimal control, free boundary value problem
- Klassifikation (DDC)
- 510
- Normschlagwörter (GND)
- Stefan-Problem, Level-Set-Methode, Freies Randwertproblem
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-qucosa-62014
- Veröffentlichungsdatum Qucosa
- 02.11.2010
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch
- Inhaltsverzeichnis
1 Introduction 2 Model Equations 3 The Optimal Control Problem and Optimality Conditions 4 Discretization of the Forward and Adjoint Systems 5 Numerical Results 6 Discussion and Conclusion A Formal Derivation of the Optimality Conditions B Transport Theorems and Shape Calculus