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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.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…