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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 nonsmooth trust-region method for locally lipschitz functions with application to optimization problems constrained by variational inequalities
ArticleAbstract: We propose a general trust-region method for the minimization of nonsmooth and nonconvex, locally LiPalabras claves:Bouligand subdifferential, Nonsmooth optimization, Optimal Control, Optimization with variational inequality constraints, Stationarity conditions, Trust-region methodsAutores:CHRISTOF C., Juan Carlos De Los Reyes, Meyer C.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: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:googlescopusOPTIMAL CONTROL OF A NONSMOOTH PDE ARISING IN THE MODELING OF SHEAR–THICKENING FLUIDS
ArticleAbstract: This paper focuses on the analysis of an optimal control problem governed by a nonsmooth quasilinearPalabras claves:nonsmooth partial differential equations, Optimal Control, Shear thickening fluids, Stationarity conditionsAutores:Juan Carlos De Los Reyes, Paola QuiloangoFuentes:scopusOptimization of mixed variational inequalities arising in flow of viscoplastic materials
ArticleAbstract: Optimal control problems of mixed variational inequalities of the second kind arising in flow of BinPalabras claves:Bingham flow, Huber regularization, Mixed variational inequalities, Optimal Control, semismooth Newton methods, VI-constrained optimizationAutores:Juan Carlos De Los ReyesFuentes:googlescopusPrimal-dual active set method for control constrained optimal control of the Stokes equations
ArticleAbstract: In this paper, we study the distributed and boundary optimal control of the Stokes equations in thePalabras claves:Optimal Control, Primal-dual active set method, Stokes equationsAutores:Juan Carlos De Los ReyesFuentes: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:googlescopus