Sampling gas distributions by robotic platforms in order to find gas sources is an appealing
approach to alleviate threats for a human operator. Different sampling strategies for robotic …

We consider finite element approximations of parabolic control problems with pointwise
control. The state equation exhibits low regularity due to the control imposed pointwisely; …

In this paper we consider a parabolic optimal control problem with a pointwise (Dirac type)
control in space, but variable in time, in two space dimensions. To approximate the problem …

This paper addresses the development of an efficient information gathering and exploration
strategy for robotic missions when a high level of autonomy is expected. A multi-agent …

The analyses of interior penalty discontinuous Galerkin methods of any order k for solving
elliptic and parabolic problems with Dirac line sources are presented. For the steady state …

The purpose of this work is to illustrate how the theory of Muckenhoupt weights,
Muckenhoupt-weighted Sobolev spaces and the corresponding weighted norm inequalities …

This paper is devoted to the study of finite element approximations to parabolic optimal
control problems with controls acting on a lower dimensional manifold. The manifold can be …

In this paper we provide an a priori error analysis for parabolic optimal control problems with
a pointwise (Dirac-type) control in space on three-dimensional domains. The two …

In this paper, we investigate an optimal control problem governed by parabolic equations
with measure-valued controls over time. We establish the well-posedness of the optimal …

We consider variational discretization of a parabolic optimal control problem governed by
space-time measure controls. For the state discretization we use a Petrov-Galerkin method …