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Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models
ArticleAbstract: We consider a bilevel optimisation approach for parameter learning in higher-order total variation iPalabras claves:Bilevel optimisation, Image quality measures, Total variation regularisersAutores:Juan Carlos De Los Reyes, Schönlieb C.B., Valkonen T.Fuentes:googlescopusA 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: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:googlescopus