3 papers
math.AT2025
Autonomous motion in changing environment, fibrations and reaction mechanisms
Michael Farber, Stefan Kurz, Mathias Pillin
In this paper we develop further the formalism of fibrations of configuration spaces as a tool for modelling motion of autonomous systems in variable environments. We analyse the s…
cs.CE2024
Solving Electromagnetic Scattering Problems by Isogeometric Analysis with Deep Operator Learning
Merle Backmeyer, Stefan Kurz, Matthias Möller +1
We present a hybrid approach combining isogeometric analysis with deep operator networks to solve electromagnetic scattering problems. The neural network takes a computer-aided des…
physics.class-ph2024
Holding the fields constant: A shape-calculus approach to electromagnetic forces
Piyush Panchal, Ralf Hiptmair, Stefan Kurz
Using the mathematical theory of shape calculus as tool, we perform a rigorous investigation of the virtual work principle for the computation of electromagnetic forces in static s…