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math.OC2020
A path-following inexact Newton method for PDE-constrained optimal control in BV (extended version)
Dominik Hafemeyer, Florian Mannel
We study a PDE-constrained optimal control problem that involves functions of bounded variation as controls and includes the TV seminorm of the control in the objective. We apply a…
math.OC2020
On the Nonuniqueness and Instability of Solutions of Tracking-Type Optimal Control Problems
Constantin Christof, Dominik Hafemeyer
We study tracking-type optimal control problems that involve a non-affine, weak-to-weak continuous control-to-state mapping, a desired state , and a desired control . It…
math.OC2019
Finite element error estimates for one-dimensional elliptic optimal control by BV functions
Dominik Hafemeyer, Florian Mannel, Ira Neitzel +1
We consider an optimal control problem governed by a one-dimensional elliptic equation that involves univariate functions of bounded variation as controls. For the discretization o…