activity
20192026
most citedA posteriori error estimates for semilinear optimal control problems

2 citations · 3 across the 8 of their papers we have counts for

collaborators

15 papers

math.OC2026

On quantitative sufficient second-order optimality conditions for elliptic optimal control problems

Francisco Fuica, Nicolai Jork

In this paper, a quantitative condition for optimality for distributed optimal control problems with box-constraints that are subject to a semilinear elliptic equation is considere…

math.NA2026

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…

math.OC2025

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…

math.OC2025

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…

math.NA2025

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…

math.OC2024

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…