78 citations · 115 across the 6 of their papers we have counts for
4 papers · 1 filter
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…