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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:googlescopusTotal generalized variation regularization in data assimilation for burgers’ equation
ArticleAbstract: We propose a second–order total generalized variation (TGV) regularization for the reconstruction ofPalabras claves:Data assimilation, Inviscid Burgers’ equation, Primal-dual methods, Second-order methodsAutores:Estefanía Loayza-Romero, Juan Carlos De Los ReyesFuentes:scopusState-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:googlescopusOptimality Conditions for Bilevel Imaging Learning Problems with Total Variation Regularization
ArticleAbstract: We address the problem of optimal scale-dependent parameter learning in total variation image de-noiPalabras claves:Bilevel optimization, Machine Learning, Total variation, Variational modelsAutores:David Villacis, Juan Carlos De Los ReyesFuentes:scopusError estimates for optimal control problems of a class of quasilinear equations arising in variable viscosity fluid flow
ArticleAbstract: We consider optimal control problems of quasilinear elliptic equations with gradient coefficients arPalabras claves:35J62, 49K20, 65N30, 76A05Autores:Dhamo V., Juan Carlos De Los ReyesFuentes:googlescopusFinite element error analysis for state-constrained optimal control of the Stokes equation
Conference ObjectAbstract: An optimal control problem for 2d and 3d Stokes equations is investigated with pointwise inequalityPalabras claves:finite elements, Linear-quadratic optimal control problems, Numerical approximation, State constraints, Stokes equationsAutores:Juan Carlos De Los Reyes, Meyer C., Vexler B.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:scopus