21 citations · 45 across the 9 of their papers we have counts for
10 papers
A Sensitivity Calculus for Optimal Control of the Generalized Riemann Problem for Hyperbolic Systems of Conservation Laws
Jannik Breitkopf, Stefan Ulbrich
We develop a sensitivity calculus for entropy solutions of the Generalized Riemann Problem (GRP) for strictly hyperbolic systems of conservation laws where the control is the initi…
Scaling-aware rating of Poisson-limited demand forecasts
Malte C. Tichy, Illia Babounikau, Nikolas Wolke +2
Forecast quality should be assessed in the context of what is possible in theory and what is reasonable to expect in practice. Often, one can identify an approximate upper bound to…
A simplified Newton method to generate snapshots for POD models of semilinear optimal control problems
Paul Manns, Stefan Ulbrich
In PDE-constrained optimization, proper orthogonal decomposition (POD) provides a surrogate model of a (potentially expensive) PDE discretization, on which optimization iterations…
On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem
Anne-Therese Rauls, Stefan Ulbrich
We consider optimal control problems for a wide class of bilateral obstacle problems where the control appears in a possibly nonlinear source term. The non-differentiability of the…
Differentiability results and sensitivity calculation for optimal control of incompressible two-phase Navier-Stokes equations with surface tension
Elisabeth Diehl, Johannes Haubner, Michael Ulbrich +1
We analyze optimal control problems for two-phase Navier-Stokes equations with surface tension. Based on -maximal regularity of the underlying linear problem and recent well-p…
Identification of Model Uncertainty via Optimal Design of Experiments Applied to a Mechanical Press
Tristan Gally, Peter Groche, Florian Hoppe +5
In engineering applications almost all processes are described with the help of models. Especially forming machines heavily rely on mathematical models for control and condition mo…
Semi-automatically optimized calibration of internal combustion engines
Timo Burggraf, Michael Joswig, Marc E. Pfetsch +2
Modern combustion engines incorporate a number of actuators and sensors that can be used to control and optimize the performance and emissions. We describe a semi-automatic method…
Robust Shape Optimization of Electric Devices Based on Deterministic Optimization Methods and Finite Element Analysis With Affine Decomposition and Design Elements
Ion Gabriel Ion, Zeger Bontinck, Dimitrios Loukrezis +5
In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine de…
Robust Optimization Approaches for the Design of an Electric Machine
Zeger Bontinck, Oliver Lass, Sebastian Schöps +2
In this paper two formulations for the robust optimization of the size of the permanent magnet in a synchronous machine are discussed. The optimization is constrained by a partial…
A Certified Model Reduction Approach for Robust Parameter Optimization with PDE Constraints
Alessandro Alla, Michael Hinze, Philip Kolvenbach +2
We investigate an optimization problem governed by an elliptic partial differential equation with uncertain parameters. We introduce a robust optimization framework that accounts f…