2 citations · 4 across the 19 of their papers we have counts for
14 papers · 1 filter
Error estimates for an unregularized optimal control problem for the stationary Navier-Stokes equations
Francisco Fuica, Nicolai Jork
We consider an unregularized optimal control problem subject to the steady-state Navier-Stokes equations. We derive the existence of optimal solutions and prove first- and second-o…
A space-time finite element method for parabolic obstacle problems
José Joaquín Carvajal, Davood Damircheli, Thomas Führer +2
We propose and analyze a general framework for space-time finite element methods that is based on least-squares finite element methods for solving a first-order reformulation of th…
Mixed finite element methods for elliptic obstacle problems
Thomas Führer, Francisco Fuica
Mixed variational formulations for the first-order system of the elastic membrane obstacle problem and the second-order system of the Kirchhoff--Love plate obstacle problem are pro…
Error estimates for a bilinear optimal control problem of Maxwell's equations
Francisco Fuica, Felipe Lepe, Pablo Venegas
We consider a control-constrained optimal control problem subject to time-harmonic Maxwell's equations; the control variable belongs to a finite-dimensional set and enters the stat…
A pointwise tracking optimal control problem for the stationary Navier--Stokes equations
Francisco Fuica, Enrique Otárola
We study a pointwise tracking optimal control problem for the stationary Navier--Stokes equations; control constraints are also considered. The problem entails the minimization of…
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…
Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation
Alejandro Allendes, Francisco Fuica, Enrique Otarola
We consider a pointwise tracking optimal control problem for a semilinear elliptic partial differential equation. We derive the existence of optimal solutions and analyze first and…
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…
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…
An a posteriori error analysis of an elliptic optimal control problem in measure space
Francisco Fuica, Enrique Otarola, Abner J. Salgado
We propose an a posteriori error estimator for a sparse optimal control problem: the control variable lies in the space of regular Borel measures. We consider a solution technique…
Adaptive finite element methods for sparse PDE-constrained optimization
Alejandro Allendes, Francisco Fuica, Enrique Otárola
We propose and analyze reliable and efficient a posteriori error estimators for an optimal control problem that involves a nondifferentiable cost functional, the Poisson problem as…