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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 duality based semismooth Newton framework for solving variational inequalities of the second kind
ArticleAbstract: In an appropriate function space setting, semismooth Newton methods are proposed for iteratively comPalabras claves:Moreau-Yosida regularization, semismooth Newton methods, Variational inequalities of the second kindAutores:Hintermüller M., Juan Carlos De Los ReyesFuentes:googlescopusA nonsmooth model for discontinuous shear thickening fluids: Analysis and numerical solution
ArticleAbstract: We propose a nonsmooth continuum mechanical model for discontinuous shear thickening flow. The modelPalabras claves:Additional regularity, Fictitious domain method, Mixed discretization, Non-Newtonian fluid mechanics, Semismooth Newton method, Shear-thickening, Variational inequalityAutores:Juan Carlos De Los Reyes, Stadler G.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: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: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:googlescopusStrong Stationarity Conditions for a Class of Optimization Problems Governed by Variational Inequalities of the Second Kind
ArticleAbstract: We investigate optimality conditions for optimization problems constrained by a class of variationalPalabras claves:Mathematical programs with equilibrium constraints, Optimality conditions, Variational inequalitiesAutores:Juan Carlos De Los Reyes, Meyer C.Fuentes:googlescopus