Boundary optimal flow control with state constraints |
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| Authors: | Juan Carlos de los Reyes Irwin Yousept |
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| Institution: | 1. Departamento de Matemática, Escuela Politécnica Nacional, Quito, Ecuador;2. Institut für Mathematik, Technische Universität Berlin, Berlin, Germany |
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| Abstract: | The numerical solution of the Dirichlet boundary optimal control problem of the Navier-Stokes equations in presence of pointwise state constraints is investigated. A Moreau-Yosida regularization of the problem is proposed to obtain regular multipliers. Optimality conditions are derived and the convergence of the regularized solutions towards the original one is presented. The paper ends with a numerical experiment. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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