@conference {692,
	title = {Faster-than-real-time Simulation of Multi-group Pedestrian Flow.},
	booktitle = {Traffic \& Granular Flow 24},
	year = {2025},
	month = {09/2025},
	pages = {04021},
	publisher = {EDP Sciences (334)},
	organization = {EDP Sciences (334)},
	address = {Lyon},
	abstract = {Simulations of pedestrian flow are widely used for design guidelines during the planning of buildings and large events. In this article we discuss how faster-than-real-time simulations of pedestrian flow can contribute to dynamic control strategies of the crowd in order to ensure safety live during an event. For this purpose we present a continuous model for multi-group pedestrian flow. The model consists of the continuity equation for the density of pedestrians and a Helmholtz type equation providing the fastest path to the exit. It is derived by regularizing Hughes{\textquoteright} macroscopic model for pedestrian flow and is solved using the finite element method, which enables simulations at short run-times. The model allows the definition of multiple groups with different fundamental diagrams or destination preferences. We show that this model is able to reproduce qualitatively the expected behavior of crossing pedestrian crowds. Its main advantage is its simulation speed, making it ideal for real-time crowd management at large events.},
	keywords = {FEM Simulation, Kontinuum Model, multi-group, pedestrian flow},
	doi = {https://doi.org/10.1051/epjconf/202533404021},
	author = {M. Schmid and D. Bernhardsgr{\"u}tter and R. Schwarz and D. Bohnet and R. Axthelm}
}
@inbook {645,
	title = {Crowd Management in der  Lehre},
	booktitle = {Seamless  Learning, Grenz- und kontext{\"u}bergreifendes Lehren und Lernen in der  Bodenseeregion},
	year = {2022},
	pages = {123-132},
	publisher = {Springer},
	organization = {Springer},
	author = {R. Axthelm and S. Luppold and M. Moroff}
}
@inbook {644,
	title = {Mathematik mit digitalen Bildern sichtbar  machen},
	booktitle = {Seamless Learning, Grenz- und kontext{\"u}bergreifendes Lehren und Lernen in  der Bodenseeregion},
	year = {2022},
	pages = {133-145},
	publisher = {Springer},
	organization = {Springer},
	author = {R. Axthelm}
}
@inbook {643,
	title = {Finite Element Simulation of a Macroscopic Model for Pedestrian Flow},
	booktitle = {Traffic and  Granular Flow},
	volume = {10.1007/978-3-319-33482-0_30},
	year = {2016},
	pages = {233{\textendash}240},
	publisher = {Springer},
	organization = {Springer},
	chapter = {15},
	author = {R. Axthelm}
}
