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math.AP2025
Effective transmission through an interface with evolving microstructure
Lucas M. Fix, Gianna Götzmann, Malte A. Peter +1
We study the asymptotic behaviour of a system of nonlinear reaction--diffusion--advection equations in a domain consisting of two bulk regions connected via microscopic channels di…
physics.flu-dyn2025
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.NA2025
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…