34 citations · 74 across the 7 of their papers we have counts for
3 papers · 1 filter
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system
Marita Holtmannspötter, Arnd Rösch, Boris Vexler
In this paper we investigate a priori error estimates for the space-time Galerkin finite element discretization of an optimal control problem governed by a simplified linear gradie…
Error estimates for Dirichlet control problems in polygonal domains
Thomas Apel, Mariano Mateos, Johannes Pfefferer +1
The paper deals with finite element approximations of elliptic Dirichlet boundary control problems posed on two-dimensional polygonal domains. Error estimates are derived for the a…
On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains
Thomas Apel, Mariano Mateos, Johannes Pfefferer +1
A linear quadratic Dirichlet control problem posed on a possibly non-convex polygonal domain is analyzed. Detailed regularity results are provided in classical Sobolev (Slobodetski…