2 citations · 4 across the 19 of their papers we have counts for
8 papers · 1 filter
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 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 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…
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 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…
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…