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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 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:googlescopusBilevel Parameter Learning for Nonlocal Image Denoising Models
ArticleAbstract: We propose a bilevel optimization approach for the estimation of parameters in nonlocal image denoisPalabras claves:Autores:Andrés Miniguano-Trujillo, D’Elia M., Juan Carlos De Los ReyesFuentes:scopusRegularized state-constrained boundary optimal control of the Navier-Stokes equations
ArticleAbstract: The numerical solution of the Dirichlet boundary optimal control problem of the Navier-Stokes equatiPalabras claves:Boundary optimal control, Lavrentiev type regularization, Moreau-Yosida type regularization, Navier-Stokes equations, Semi-smooth Newton algorithm, Source representation, State-constraintsAutores:Juan Carlos De Los Reyes, Yousept I.Fuentes:googlescopusNumerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods
ArticleAbstract: This paper is devoted to the numerical simulation of two-dimensional stationary Bingham fluid flow bPalabras claves:Bingham fluids, Elliptic variational inequalities, semismooth Newton methods, Tikhonov regularizationAutores:Juan Carlos De Los Reyes, Sergio González-AndradeFuentes: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:googlescopusOptimal control of a class of variational inequalities of the second kind
ArticleAbstract: Optimal control problems governed by a class of elliptic variational inequalities of the second kindPalabras claves:Huber regularization, Optimal control of variational inequalities, semismooth Newton methods, Variational inequalities of the second kindAutores:Juan Carlos De Los ReyesFuentes:googlescopusOptimal control of partial differential equations with affine control constraints
Conference ObjectAbstract: Numerical solution of PDE optimal control problems involving affine pointwise control constraints isPalabras claves:Affine control constraints, Optimal Control, semismooth Newton methodsAutores:Juan Carlos De Los Reyes, Kunisch K.Fuentes:googlescopusOptimal control of static elastoplasticity in primal formulation
ArticleAbstract: An optimal control problem of static plasticity with linear kinematic hardening and von Mises yieldPalabras claves:Elastoplasticity, First-order necessary optimality conditions, Mathematical program with equilibrium constraints (MPEC), Optimal Control, Variational inequality of the second kindAutores:Herzog R., Juan Carlos De Los Reyes, Meyer C.Fuentes:googlescopus