5 papers
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…
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…
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…
Finite element error estimates in for regularized discrete approximations to the obstacle problem
Dominik Hafemeyer, Christian Kahle, Johannes Pfefferer
This work is concerned with quasi-optimal a-priori finite element error estimates for the obstacle problem in the -norm. The discrete approximations are introduced as solution…
Bayesian identification of sound sources with the Helmholtz equation
Sebastian Engel, Dominik Hafemeyer, Christian Münch +1
In this work we discuss the problem of identifying sound sources from pressure measurements with a Bayesian approach. The acoustics are modelled by the Helmholtz equation and the g…