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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 bilevel learning approach for optimal observation placement in variational data assimilation
ArticleAbstract: In this paper we propose a bilevel optimization approach for the placement of space and time observaPalabras claves:Bilevel optimization, singular optimal control with measures, Supervised learning, variational data assimilationAutores:Juan Carlos De Los Reyes, Paula Castro, Paula M. Castro C.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:googlescopusDynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints
ArticleAbstract: We consider the bilevel optimisation approach proposed in [5] for learning the optimal parameters inPalabras claves:Autores:Calatroni L., Juan Carlos De Los Reyes, Schönlieb C.B.Fuentes: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: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: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:googlescopusThe structure of optimal parameters for image restoration problems
ArticleAbstract: We study the qualitative properties of optimal regularisation parameters in variational models for iPalabras claves:Bi-level optimisation, Optimality, Parameter choice, Total generalised variation, Total variationAutores:Juan Carlos De Los Reyes, Schönlieb C.B., Valkonen T.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