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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 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: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:googlescopusError estimates for optimal control problems of a class of quasilinear equations arising in variable viscosity fluid flow
ArticleAbstract: We consider optimal control problems of quasilinear elliptic equations with gradient coefficients arPalabras claves:35J62, 49K20, 65N30, 76A05Autores:Dhamo V., Juan Carlos De Los ReyesFuentes: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: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: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:googlescopusOne-shot methods in function space for PDE-constrained optimal control problems
ArticleAbstract: We state and analyse one-shot methods in function space for the optimal control of nonlinear partialPalabras claves:Adaptive optimal control, Burgers equation, One-shot method, Optimal control of PDEs, Solid fuel ignition modelAutores:Gauger N.R., Juan Carlos De Los Reyes, Kaland L.Fuentes:googlescopus