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A balanced truncation-based strategy for optimal control of evolution problems
Conference ObjectAbstract: In this paper, we present a balanced truncation based strategy for the numerical solution of optimalPalabras claves:adjoint equation, balanced truncation, Model reduction, Optimal ControlAutores:Juan Carlos De Los Reyes, Stykel T.Fuentes:googlescopusA comparison of algorithms for control constrained optimal control of the Burgers equation
ArticleAbstract: A comparison of three different but related numerical methods for control constrained optimal controPalabras claves:Autores:Juan Carlos De Los Reyes, Kunisch K.Fuentes:googlescopusA semi-smooth Newton method for regularized state-constrained optimal control of the Navier-Stokes equations
ArticleAbstract: In this paper we study semi-smooth Newton methods for the numerical solution of regularized pointwisPalabras claves:Navier-Stokes equations, Optimal Control, Semi-smooth Newton methods, State constraintsAutores:Juan Carlos De Los Reyes, Kunisch K.Fuentes:googlescopusFlow control with regularized state constraints
Conference ObjectAbstract: We consider the distributed optimal control of the Navier-Stokes equations in presence of pointwisePalabras claves:Autores:Juan Carlos De Los Reyes, Tröltzsch F.Fuentes:googlescopusState-constrained optimal control of the three-dimensional stationary Navier-Stokes equations
ArticleAbstract: In this paper, an optimal control problem for the stationary Navier-Stokes equations in the presencePalabras claves:Lipschitz stability, Navier-Stokes equations, Optimal Control, State constraintsAutores:Griesse R., Juan Carlos De Los ReyesFuentes:googlescopusSufficient second-order optimality conditions for semilinear control problems with pointwise state constraints
ArticleAbstract: Second-order sufficient optimality conditions are established for the optimal control of semίlinearPalabras claves:Elliptic equations, Optimal Control, Parabolic equations, Pointwise state constraints, Second-order necessary optimality conditions, Second-order sufficient optimality conditionsAutores:Casas E., Juan Carlos De Los Reyes, Tröltzsch F.Fuentes:googlescopusOn some nonlinear optimal control problems with vector-valued affine control constraints
Book PartAbstract: We investigate a class of nonlinear optimal control problems with pointwise affine control constrainPalabras claves:Affine control constraints, Optimal Control, Semi-smooth Newton methodsAutores:Juan Carlos De Los Reyes, Kunisch K.Fuentes:googlescopusOn the optimal control of some nonsmooth distributed parameter systems arising in mechanics
ArticleAbstract: Variational inequalities are an important mathematical tool for modelling free boundary problems thaPalabras claves:free-boundary problems, Inverse problems, Nonsmooth distributed parameter systems, Optimal Control, Variational inequalitiesAutores:Juan Carlos De Los ReyesFuentes:googlescopusOptimal control of a class of variational inequalities of the second kind
ArticleAbstract: Optimal control problems governed by a class of elliptic variational inequalities of the second kindPalabras claves:Huber regularization, Optimal control of variational inequalities, semismooth Newton methods, Variational inequalities of the second kindAutores:Juan Carlos De Los ReyesFuentes:googlescopusOptimal control of partial differential equations with affine control constraints
Conference ObjectAbstract: Numerical solution of PDE optimal control problems involving affine pointwise control constraints isPalabras claves:Affine control constraints, Optimal Control, semismooth Newton methodsAutores:Juan Carlos De Los Reyes, Kunisch K.Fuentes:googlescopus