Geodesic
Properties of projection and penalty methods for discretized elliptic control problems
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 27 (2007) no. 1, pp. 23-41.

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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.
Keywords: convex programming, control of PDE, projection methods, penalty methods 
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Cegielski, Andrzej; Grossmann, Christian. Properties of projection and penalty methods for discretized elliptic control problems. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 27 (2007) no. 1, pp. 23-41. http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a1/

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