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Article(5)
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Computational Optimization and Applications(2)
Control and Cybernetics(1)
Optimal Control Applications and Methods(1)
Optimization Methods and Software(1)
An adaptive numerical method for semi-infinite elliptic control problems based on error estimates
ArticleAbstract: We discuss numerical reduction methods for an optimal control problem of semi-infinite type with finPalabras claves:elliptic partial differential equation, FEM, Numerical Methods, Optimal Control, semi-infinite programmingAutores:Neitzel I., Pedro Martín Merino Rosero, Pedro Merino, Tröltzsch F.Fuentes:googlescopusA difference-of-convex functions approach for sparse PDE optimal control problems with nonconvex costs
ArticleAbstract: We propose a local regularization of elliptic optimal control problems which involves the nonconvexPalabras claves:DC programming, DCA, Elliptic PDE, Nonconvex, Optimal ControlAutores:Pedro Martín Merino Rosero, Pedro MerinoFuentes:googlescopusFinite element error estimates for an optimal control problem governed by the Burgers equation
ArticleAbstract: We derive a-priori error estimates for the finite-element approximation of a distributed optimal conPalabras claves:Burgers equation, error estimates, Finite element approximation, Optimal Control, Piecewise linearAutores:Pedro Martín Merino Rosero, Pedro MerinoFuentes:googlescopusError estimates for the FEM approximation of optimal sparse control of elliptic equations with pointwise state constraints and finite-dimensional control space
ArticleAbstract: In this work, we derive an a priori error estimate of order (Formula presented.) for the finite elemPalabras claves:elliptic partial differential equations, error estimates, Finite Element Method, Optimal Control, sparsityAutores:Alexander Nenjer, Pedro MerinoFuentes:scopusOptimality 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:googlescopus