78 citations · 115 across the 6 of their papers we have counts for
6 papers
Intrusive and Non-Intrusive Model Order Reduction for Airborne Contaminant Transport: Comparative Analysis and Uncertainty Quantification
Lisa Kühn, Jacopo Bonari, Max von Danwitz +1
Numerical simulations of contaminant dispersion after a gas leakage incident at a chemical plant can provide valuable insights for both emergency response and preparedness. High-fi…
Towards Real-Time Urban Physics Simulations with Digital Twins
Jacopo Bonari, Lisa Kühn, Max von Danwitz +1
Urban populations continue to grow, highlighting the critical need to safeguard civilians against potential disruptions, such as dangerous gas contaminant dispersion. The digital t…
Solving Forward and Inverse Problems of Contact Mechanics using Physics-Informed Neural Networks
T. Sahin, M. von Danwitz, A. Popp
This paper explores the ability of physics-informed neural networks (PINNs) to solve forward and inverse problems of contact mechanics for small deformation elasticity. We deploy P…
Model Order Reduction for Deforming Domain Problems in a Time-Continuous Space-Time Setting
Fabian Key, Max von Danwitz, Francesco Ballarin +1
In the context of simulation-based methods, multiple challenges arise, two of which are considered in this work. As a first challenge, problems including time-dependent phenomena w…
Time-Continuous and Time-Discontinuous Space-Time Finite Elements for Advection-Diffusion Problems
Max von Danwitz, Igor Voulis, Norbert Hosters +1
We construct four variants of space-time finite element discretizations based on linear tensor-product and simplex-type finite elements. The resulting discretizations are continuou…
Four-Dimensional Elastically Deformed Simplex Space-Time Meshes for Domains with Time Variant Topology
Max von Danwitz, Patrick Antony, Fabian Key +2
Thinking of the flow through biological or technical valves, there is a variety of applications in which the topology of a fluid domain changes over time. This topology change is c…