4 papers
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…
Discretization of Total Variation in Optimization with Integrality Constraints
Annika Schiemann, Paul Manns
We introduce discretizations of infinite-dimensional optimization problems with total variation regularization and integrality constraints on the optimization variables. We advance…
Finite Element Approximation of Data-Driven Problems in Conductivity
Christian Meyer, Annika Müller
This paper is concerned with the finite element discretization of the data driven approach according to arXiv:1510.04232 for the solution of PDEs with a material law arising from m…
On Integer Optimal Control with Total Variation Regularization on Multi-dimensional Domains
Paul Manns, Annika Schiemann
We consider optimal control problems with integer-valued controls and a total variation regularization penalty in the objective on domains of dimension two or higher. The penalty y…