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A 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 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: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: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:googlescopusOptimality conditions for state-constrained PDE control problems with time-dependent controls
ArticleAbstract: The paper deals with optimal control problems for semilinear elliptic and parabolic PDEs subject toPalabras claves:Elliptic equation, Optimal Control, Parabolic equation, Pointwise state constraints, Restricted control class, Sufficient optimality conditionsAutores:Juan Carlos De Los Reyes, Pedro Martín Merino Rosero, Pedro Merino, Rehberg J., Tröltzsch F.Fuentes:googlescopusOptimization 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: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