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A 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:googlescopusNonsmooth exact penalization second-order methods for incompressible bi-viscous fluids
ArticleAbstract: We consider the exact penalization of the incompressibility condition div (u) = 0 for the velocity fPalabras claves:Bi-viscuous fluids, Exact penalization, Nonsmooth optimization, Second order methodsAutores:Pedro Martín Merino Rosero, Pedro Merino, Sergio González-Andrade, Sofía López-OrdóñezFuentes:googlescopusSecond-order orthant-based methods with enriched Hessian information for sparse ℓ<inf>1</inf> -optimization
ArticleAbstract: We present a second order algorithm, based on orthantwise directions, for solving optimization problPalabras claves:Orthantwise directions, Second-order algorithms, semismooth Newton methods, Sparse optimizationAutores:Estefanía Loayza-Romero, Juan Carlos De Los Reyes, Pedro MerinoFuentes:scopus