145 citations · 353 across the 46 of their papers we have counts for
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Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects
Harbir Antil, Enrique Otarola, Abner J. Salgado
We consider an identification problem, where the state is governed by a fractional elliptic equation and the unknown variable corresponds to the order of the unde…
An a posteriori error analysis for an optimal control problem with point sources
Alejandro Allendes, Enrique Otarola, Richard Rankin +1
We propose and analyze a reliable and efficient a posteriori error estimator for a constrained linear-quadratic optimal control problem involving Dirac measures; the control variab…
Adaptive finite element methods for an optimal control problem involving Dirac measures
Alejandro Allendes, Enrique Otarola, Richard Rankin +1
The purpose of this work is the design and analysis of a reliable and efficient a posteriori error estimator for the so-called pointwise tracking optimal control problem. This line…
A posteriori error estimators for stabilized finite element approximations of an optimal control problem
Alejandro Allendes, Enrique Otarola, Richard Rankin
We derive a posteriori error estimators for an optimal control problem governed by a convection-reaction-diffusion equation; control constraints are also considered. We consider a…
An a posteriori error analysis for an optimal control problem involving the fractional Laplacian
Harbir Antil, Enrique Otarola
In a previous work, we introduced a discretization scheme for a constrained optimal control problem involving the fractional Laplacian. For such a control problem, we derived optim…