Properties of projection and penalty methods for discretized elliptic control problems

• Autorzy: Andrzej Cegielski , Christian Grossmann
• Języki publikacji: EN

Abstrakty

EN

In this paper, properties of projection and penalty methods are studied in connection with control problems and their discretizations. In particular, the convergence of an interior-exterior penalty method applied to simple state constraints as well as the contraction behavior of projection mappings are analyzed. In this study, the focus is on the application of these methods to discretized control problem.

Słowa kluczowe

EN

convex programming   control of PDE   projection methods   penalty methods  

Kategorie tematyczne

• 49M15: Newton-type methods
• 65K10: Optimization and variational techniques
• 90C25: Convex programming

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2007
• Tom: 27
• Numer: 1
• Strony: 23-41

Daty

wydano

2007

otrzymano

2006-07-24

Twórcy

autor

Andrzej Cegielski

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516 Zielona Góra, Poland

autor

Christian Grossmann

• Institute of Numerical Mathematics, Dresden University of Technology, D-01062 Dresden, Germany

Bibliografia

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Identyfikatory

DOI

10.7151/dmdico1074