Titlebook: Control of Coupled Partial Differential Equations; Karl Kunisch,Jürgen Sprekels,Fredi Tröltzsch Conference proceedings 2007 Birkhäuser Bas

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Optimal Control Problems with Convex Control Constraints,, . is an set-valued mapping that is assumed to be measurable with convex and closed images. We establish first-order necessary as well as second-order sufficient optimality conditions. And we prove regularity results for locally optimal controls.

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Schritt 3: Synchronisieren und verbinden, step. The corresponding optimality systems are discretized by linear finite elements, using a partly exact summarized midpoint rule for the discretization of the nonlocal radiation interface conditions. The paper ends with some numerical results demonstrating the efficiency of the proposed method.

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Testergebnisse von ausgewählten Berufen the family of admissible domains with respect to the Hausdorff metrics as well as in the sense of Kuratowski-Mosco. The analysis is performed for the range of adiabatic ratio . > 1 in the pressure law .(.) = .. and it is based on the technique proposed in [.] for the discretized N-S-E.