3 papers
math.NA2025
A Trefftz Continuous Galerkin method for Helmholtz problems
Nicola Galante, Bruno Després, Emile Parolin
This work introduces a novel Trefftz Continuous Galerkin (TCG) method for 2D Helmholtz problems based on evanescent plane waves (EPWs). We construct a new globally-conforming discr…
math.NA2025
A 3D Machine Learning based Volume Of Fluid scheme without explicit interface reconstruction
Moreno Pintore, Bruno Després
We present a machine-learning based Volume Of Fluid method to simulate multi-material flows on three-dimensional domains. One of the novelties of the method is that the flux fracti…
cs.LG2024
Computable Lipschitz Bounds for Deep Neural Networks
Moreno Pintore, Bruno Després
Deriving sharp and computable upper bounds of the Lipschitz constant of deep neural networks is crucial to formally guarantee the robustness of neural-network based models. We anal…