3 papers
math.NA2026
Neural Network Enhanced Polyconvexification of Isotropic Energy Densities in Computational Mechanics
Loïc Balazi, Timo Neumeier, Malte A. Peter +1
We present a neural network approach for fast evaluation of parameter-dependent polyconvex envelopes, which are crucial in computational mechanics. Our method uses a neural network…
physics.flu-dyn2026
Effective permeabilities for flow through anisotropic microscopic geometries
Loïc Balazi, Fabian Holzberger, Stephan B. Lunowa +3
This work develops a computational and theoretical framework for determining effective permeabilities in anisotropic microscopic geometries containing dense, fibre-like obstacles,…
math.NA2026
Quantum Enhanced Numerical Homogenization
Loïc Balazi, Loïc Balazi, Matthias Deiml +1
We propose a numerical homogenization method for scalar linear partial differential equations with rough coefficients that integrates classical coarse-scale solvers with quantum su…