6 papers
Numerical approximation of regularized non-convex elliptic optimal control problems by the finite element method
Pedro Merino, Alexander Nenjer
We investigate the numerical approximation of an elliptic optimal control problem which involves a nonconvex local regularization of the -quasinorm penalization (with $q\in(0,…
Nonsmooth Exact Penalization Second-order Methods for incompressible Bingham flows
Sergio González-Andrade, Sofía López, Pedro Merino
We consider the exact penalization of the incompressibility condition for the velocity field of a Bingham fluid in terms of the -norm. This penalization procedure r…
An enriched second-order method for nonconvex composite sparse optimization problems
Pedro Merino, Juan Carlos De Los Reyes
In this paper we propose a second--order method for solving \emph{linear composite sparse optimization problems} consisting of minimizing the sum of a differentiable (possibly nonc…
A difference of convex functions approach for sparse pde optimal control problems with nonconvex costs
Pedro Merino
We propose a local regularization of elliptic optimal control problems which involves the nonconvex fractional penalizations in the cost function. The proposed \emph{Huber ty…
A locking-free optimal control problem with cost for optimal placement of control devices in Timoshenko beam
Erwin Hernández, Pedro Merino
The numerical approximation of an optimal control problem with -control of a Timoshenko beam is considered and analyzed by using the finite element method. From the practical…
Second-order orthant-based methods with enriched Hessian information for sparse -optimization
J. C. De los Reyes, E. Loayza, P. Merino
We present a second order algorithm, based on orthantwise directions, for solving optimization problems involving the sparsity enhancing -norm. The main idea of our method…