146 citations · 251 across the 18 of their papers we have counts for
20 papers
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…
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…
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…
Asymptotic Analysis for Optimal Control of the Cattaneo Model
Sebastian Blauth, René Pinnau, Matthias Andres +1
We consider an optimal control problem with tracking-type cost functional constrained by the Cattaneo equation, which is a well-known model for delayed heat transfer. In particular…
Optimal Control of the Sabatier Process in Microchannel Reactors
Sebastian Blauth, Christian Leithäuser, René Pinnau
We consider the optimization of a chemical microchannel reactor by means of PDE constrained optimization techniques, using the example of the Sabatier reaction. To model the chemic…
Shape Sensitivity Analysis for a Microchannel Cooling System
Sebastian Blauth, Christian Leithäuser, René Pinnau
We analyze the theoretical framework of a shape optimization problem for a microchannel cooling system. To this end, a cost functional based on the tracking of absorbed energy by t…
Model Hierarchy for the Shape Optimization of a Microchannel Cooling System
Sebastian Blauth, Christian Leithäuser, René Pinnau
We model a microchannel cooling system and consider the optimization of its shape by means of shape calculus. A three-dimensional model covering all relevant physical effects and t…
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…
Instantaneous control of interacting particle systems in the mean-field limit
Martin Burger, Rene Pinnau, Claudia Totzeck +2
Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instant…
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…
Controlling a self-organizing system of individuals guided by a few external agents -- particle description and mean-field limit
Martin Burger, René Pinnau, Andreas Roth +2
Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathemat…
Elastic image registration with exact mass preservation
Jarosław Wlazło, Robert Feßler, René Pinnau +2
We establish a new framework for image registration, which is based on linear elasticity and optimal mass transportation theory. We combine these two arguments in order to obtain a…
A consensus-based model for global optimization and its mean-field limit
René Pinnau, Claudia Totzeck, Oliver Tse +1
We introduce a novel first-order stochastic swarm intelligence (SI) model in the spirit of consensus formation models, namely a consensus-based optimization (CBO) algorithm, which…
The quasi-neutral limit in optimal semiconductor design
Rene Pinnau, Claudia Totzeck, Oliver Tse
We study the quasi-neutral limit in an optimal semiconductor design problem constrained by a nonlinear, nonlocal Poisson equation modelling the drift diffusion equations in thermal…
Approximate Controllability of Linearized Shape-Dependent Operators for Flow Problems
Christian Leithäuser, René Pinnau, Robert Feßler
We study the controllability of linearized shape-dependent operators for flow problems. The first operator is a mapping from the shape of the computational domain to the tangential…
A Numerical Approach to Shape Optimization with State Constraints
Christian Leithäuser, René Pinnau, Robert Feßler
We present a general numerical approach to shape optimization with state constraints for 2-dimensional geometries, without relaxing the constraints. To do this we reformulate the p…
On the Effects of Bohm's Potential on a Stationary Macroscopic System of Self-Interacting Particles
René Pinnau, Oliver Tse
We consider a macroscopic model describing a system of self-gravitating particles. We study the existence and uniqueness of non-negative stationary solutions and allude the differe…
The Semi-Classical Limit of an Optimal Design Problem for the Stationary Quantum Drift-Diffusion Model
René Pinnau, Sebastian Rau, Florian Schneider +1
We consider an optimal semiconductor design problem for the quantum drift diffusion (QDD) model in the semiclassical limit. The design question is formulated as a PDE constrained o…
Optimal Control for Burgers Equation using Particle Methods
Jan Marburger, Rene Pinnau
This papers shows the convergence of optimal control problems where the constraint function is discretised by a particle method. In particular, we investigate the viscous Burgers e…
Existence analysis for a simplified transient energy-transport model for semiconductors
Ansgar Jüngel, René Pinnau, Elisa Röhrig
A simplified transient energy-transport system for semiconductors subject to mixed Dirichlet-Neumann boundary conditions is analyzed. The model is formally derived from the non-iso…