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The stationary Boussinesq problem under singular forcing
Alejandro Allendes, Enrique Otarola, Abner J. Salgado
In Lipschitz two and three dimensional domains, we study the existence for the so--called Boussinesq model of thermally driven convection under singular forcing. By singular we mea…
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…
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…