34 citations · 74 across the 7 of their papers we have counts for
8 papers
Dirichlet control problems with energy regularization governed by non-coercive elliptic equations
Thomas Apel, Mariano Mateos, Arnd Rösch
The present study investigates a linear-quadratic Dirichlet control problem governed by a non-coercive elliptic equation posed on a possibly non-convex polygonal domain. Tikhonov r…
Non-coercive Neumann boundary control problems
Thomas Apel, Mariano Mateos, Arnd Rösch
The article examines a linear-quadratic Neumann control problem that is governed by a non-coercive elliptic equation. Due to the non-self-adjoint nature of the linear control-to-st…
New second order sufficient optimality conditions for state constrained parabolic control problems
Eduardo Casas, Mariano Mateos, Arnd Rösch
We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain sec…
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…
Analysis of control problems of nonmontone semilinear elliptic equations
Eduardo Casas, Mariano Mateos, Arnd Rösch
In this paper we study optimal control problems governed by a semilinear elliptic equation. The equation is nonmonotone due to the presence of a convection term, despite the monoto…
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…
Error estimates for joint Tikhonov- and Lavrentiev-regularization of constrained control problems
Dirk A. Lorenz, Arnd Rösch
We consider joint Tikhonov- and Lavrentiev-regularization of control problems with pointwise control- and state-constraints. We derive error estimates for the error which is introd…