2 citations · 4 across the 19 of their papers we have counts for
7 papers · 2 filters
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…
A posteriori error estimates for the stationary Navier Stokes equations with Dirac measures
Alejandro Allendes, Enrique Otarola, Abner J. Salgado
In two dimensions, we propose and analyze an a posteriori error estimator for finite element approximations of the stationary Navier Stokes equations with singular sources on Lipsc…
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…
An adaptive finite element method for the sparse optimal control of fractional diffusion
Enrique Otarola
We propose and analyze an a posteriori error estimator for a PDE-constrained optimization problem involving a nondifferentiable cost functional, fractional diffusion, and control-c…
A weighted setting for the stationary Navier Stokes equations under singular forcing
Enrique Otarola, Abner J. Salgado
In two dimensions, we show existence of solutions to the stationary Navier Stokes equations on weighted spaces , where the weight belongs to th…