activity
20192024
collaborators

5 papers

math.OC2024

A Novel Deflation Approach for Topology Optimization and Application for Optimization of Bipolar Plates of Electrolysis Cells

Leon Baeck, Sebastian Blauth, Christian Leithäuser +2

Topology optimization problems usually feature multiple local minimizers. To guarantee convergence to local minimizers that perform best globally or to find local solutions that ar…

math.OC2024

Computing Multiple Local Minimizers for the Topology Optimization of Bipolar Plates in Electrolysis Cells

Leon Baeck, Sebastian Blauth, Christian Leithäuser +2

In this paper we consider the topology optimization for a bipolar plate of a hydrogen electrolysis cell. We use the Borvall-Petersson model to describe the fluid flow and derive a…

math.OC2023

Topology Optimization for Uniform Flow Distribution in Electrolysis Cells

Leon Baeck, Sebastian Blauth, Christian Leithäuser +2

In this paper we consider the topology optimization for a bipolar plate of a hydrogen electrolysis cell. We present a model for the bipolar plate using the Stokes equation with an…

math.OC2019

Space mapping-based Receding Horizon Control for Stochastic Interacting Particle Systems: dogs herding sheep

René Pinnau, Claudia Totzeck

Control of stochastic interacting particle systems is a non-trivial task due to the high dimensionality of the problem and the lack of fast algorithms. Here, we propose a space map…

math.OC2019

Mean-field optimal control and optimality conditions in the space of probability measures

Martin Burger, René Pinnau, Claudia Totzeck +1

We derive a framework to compute optimal controls for problems with states in the space of probability measures. Since many optimal control problems constrained by a system of ordi…