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Computational Optimization and Applications(1)
Control and Cybernetics(1)
ESAIM: Mathematical Modelling and Numerical Analysis(1)
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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:googlescopusError estimates for the FEM approximation of optimal sparse control of elliptic equations with pointwise state constraints and finite‐dimensional control space
OtherAbstract: In this work, we derive an a priori error estimate of order for the finite element approximation ofPalabras claves:Autores:Pedro Martín Merino RoseroFuentes:googleError estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space
ArticleAbstract: The finite element approximation of optimal control problems for semilinear elliptic partial differePalabras claves:Finite element approximation, Finitely many pointwise state constraints, Optimal control problemAutores:Pedro Martín Merino Rosero, Pedro Merino, Tröltzsch F., Vexler B.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:googlescopus