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Boundary optimal flow control with state constraints
Author(s) -
de los Reyes Juan Carlos,
Yousept Irwin
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700361
Subject(s) - pointwise , regularization (linguistics) , mathematics , optimal control , boundary (topology) , convergence (economics) , boundary value problem , dirichlet distribution , lagrange multiplier , state (computer science) , dirichlet boundary condition , dirichlet problem , mathematical analysis , mathematical optimization , computer science , algorithm , artificial intelligence , economics , economic growth
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)