2 papers
math.OC2025
Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map
Christian Meyer, Gerd Wachsmuth
An optimal control problem in the space of Borel measures governed by the Poisson equation is investigated. The characteristic feature of the problem under consideration is the Tik…
math.OC2025
Dual Regularization and Outer Approximation of Optimal Control Problems in BV
Christian Meyer, Annika Schiemann
This paper is concerned with an elliptic optimal control problem with total variation (TV) restriction on the control in the constraints. We introduce a regularized optimal control…