24 citations · 27 across the 11 of their papers we have counts for
12 papers
Finite element error estimates for a bilinear optimal control problem with pointwise tracking governed by a semilinear elliptic PDE
Enrique Otarola, Daniel Quero, Matias Sasso
We study finite element approximations for an optimal control problem with pointwise tracking governed by a semilinear elliptic PDE. The control variable enters the state equation…
A nonlocal coupled system: analysis and discretization
Francisco Bersetche, Enrique Otarola, Daniel Quero
We analyze a nonlocal coupled system arising as the Euler--Lagrange equations of an energy functional involving regional fractional Laplacians of orders and ($ 0 < s_1,…
A bilinear pointwise tracking optimal control problem for a semilinear elliptic PDE
Enrique Otarola, Daniel Quero, Matias Sasso
We consider a bilinear optimal control problem with pointwise tracking for a semilinear elliptic PDE in two and three dimensions. The control variable enters the PDE as a (reaction…
Fractional, semilinear, and sparse optimal control: a priori error bounds
Francisco Bersetche, Francisco Fuica, Enrique Otarola +1
In this work, we use the integral definition of the fractional Laplace operator and study a sparse optimal control problem involving a fractional, semilinear, and elliptic partial…
Bilinear optimal control for the fractional Laplacian: analysis and discretization
Francisco Bersetche, Francisco Fuica, Enrique Otarola +1
We adopt the integral definition of the fractional Laplace operator and study an optimal control problem on Lipschitz domains that involves a fractional elliptic partial differenti…
An Optimal Control Problem for the Navier--Stokes Equations with Point Sources
Francisco Fuica, Felipe Lepe, Enrique Otarola +1
We analyze, in two dimensions, an optimal control problem for the Navier--Stokes equations where the control variable corresponds to the amplitude of forces modeled as point source…
A posteriori error estimates for a distributed optimal control problem of the stationary Navier-Stokes equations
Alejandro Allendes, Francisco Fuica, Enrique Otarola +1
In two and three dimensional Lipschitz, but not necessarily convex, polytopal domains, we propose and analyze a posteriori error estimators for an optimal control problem involving…
Shape coexistence in the neutron-deficient Hg investigated via lifetime measurements
M. Siciliano, I. Zanon, A. Goasduff +41
Shape coexistence in the region has been established in mercury, lead and polonium isotopes. Even-even mercury isotopes with present multiple f…
A posteriori error estimates in spaces for the Stokes system with Dirac measures
Francisco Fuica, Felipe Lepe, Enrique Otarola +1
We design and analyze a posteriori error estimators for the Stokes system with singular sources in suitable spaces. We consider classical low-…
A posteriori error estimates for semilinear optimal control problems
Alejandro Allendes, Francisco Fuica, Enrique Otarola +1
We devise and analyze a reliable and efficient a posteriori error estimator for a semilinear control-constrained optimal control problem in two and three dimensional Lipschitz, but…
Error estimates for optimal control problems involving the Stokes system and Dirac measures
Francisco Fuica, Enrique Otarola, Daniel Quero
The aim of this work is to derive a priori error estimates for finite element discretizations of control--constrained optimal control problems that involve the Stokes system and Di…
Adaptive finite element methods for the pointwise tracking optimal control problem of the Stokes equations
Alejandro Allendes, Francisco Fuica, Enrique Otárola +1
We propose and analyze a reliable and efficient a posteriori error estimator for the pointwise tracking optimal control problem of the Stokes equations. This linear-quadratic optim…