3 papers
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…
math.NA2024
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…
math.NA2023
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…