5 papers
Maximum-norm a posteriori error estimates for an optimal control problem
Alejandro Allendes, Enrique Otarola, Richard Rankin +1
We analyze a reliable and efficient max-norm a posteriori error estimator for a control-constrained, linear-quadratic optimal control problem. The estimator yields optimal experime…
A posteriori error estimation for finite element approximations of a PDE-constrained optimization problem in fluid dynamics
Alejandro Allendes, Enrique Otarola, Richard Rankin
We derive globally reliable a posteriori error estimators for a PDE-constrained optimization problem involving linear models in fluid dynamics as state equation; control constraint…
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…