2 citations · 4 across the 19 of their papers we have counts for
22 papers
On quantitative sufficient second-order optimality conditions for elliptic optimal control problems
Francisco Fuica, Nicolai Jork
In this paper, a general principle for coercivity in optimal control problems is investigated. Utilizing regularity properties of solutions to second-order elliptic PDEs on Lipschi…
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…
Error estimates for a multiobjective optimal control of a pointwise tracking problem
Francisco Fuica, Stefan Volkwein
We analyze a pointwise tracking multiobjective optimal control problem subject to the Poisson problem and bilateral control constraints. To approximate Pareto optimal points and th…
Adaptive finite element method for an unregularized semilinear optimal control problem
Francisco Fuica, Nicolai Jork
We devise an a posteriori error estimator for an affine optimal control problem subject to a semilinear elliptic PDE and control constraints. To approximate the problem, we conside…
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…
A posteriori error estimates for a bang-bang optimal control problem
Francisco Fuica
We propose and analyze a posteriori error estimates for a control-constrained optimal control problem with bang-bang solutions. We consider a solution strategy based on the variati…
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…
Fractional, semilinear, and sparse optimal control: a priori error bounds
Francisco Bersetche, Francisco Fuica, Enrique Otarola +1
In this work, we use the integral definition of the fractional Laplace operator and study a sparse optimal control problem involving a fractional, semilinear, and elliptic partial…
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…
A DPG method for linear quadratic optimal control problems
Thomas Führer, Francisco Fuica
The DPG method with optimal test functions for solving linear quadratic optimal control problems with control constraints is studied. We prove existence of a unique optimal solutio…
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…
A posteriori error estimates for an optimal control problem with a bilinear state equation
Francisco Fuica, Enrique Otarola
We propose and analyze a posteriori error estimators for an optimal control problem that involves an elliptic partial differential equation as state equation and a control variable…
An Optimal Control Problem for the Navier--Stokes Equations with Point Sources
Francisco Fuica, Felipe Lepe, Enrique Otarola +1
We analyze, in two dimensions, an optimal control problem for the Navier--Stokes equations where the control variable corresponds to the amplitude of forces modeled as point source…
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…