23 citations · 51 across the 17 of their papers we have counts for
5 papers · 1 filter
A stochastic Galerkin method for optimal Dirichlet boundary control problems with uncertain data
Max Winkler, Hamdullah Yücel
The paper deals with a stochastic Galerkin approximation of elliptic Dirichlet boundary control problems with random input data. The expectation of a tracking cost functional with…
A Bregman-Kaczmarz method for nonlinear systems of equations
Robert Gower, Dirk A. Lorenz, Maximilian Winkler
We propose a new randomized method for solving systems of nonlinear equations, which can find sparse solutions or solutions under certain simple constraints. The scheme only takes…
Numerical investigation of agent controlled pedestrian dynamics using a structure preserving finite volume scheme
Jan-Frederik Pietschmann, Ailyn Stötzner, Max Winkler
We provide a numerical realisation of an optimal control problem for pedestrian motion with agents that was analysed in Herzog, Pietschmann, Winkler: "Optimal Control of Hughes' Mo…
Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction
Roland Herzog, Jan-Frederik Pietschmann, Max Winkler
We discuss the control of a human crowd whose dynamics is governed by a regularized version of Hughes' model, cf. Hughes: A continuum theory for the flow of pedestrians. Transporta…
Optimization of a partial differential equation on a complex network
Martin Stoll, Max Winkler
Differential equations on metric graphs can describe many phenomena in the physical world but also the spread of information on social media. To efficiently compute the solution is…