8 papers
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 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…
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 JoaquÃn 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…