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math.NA2025
Neural Network Localized Orthogonal Decomposition for Numerical Homogenization of Diffusion Operators with Random Coefficients
Fabian Kröpfl, Daniel Peterseim, Elisabeth Ullmann
This paper presents a neural network--enhanced surrogate modeling approach for diffusion problems with spatially varying random field coefficients. The method builds on numerical h…
math.NA2022
Neural network approximation of coarse-scale surrogates in numerical homogenization
Fabian Kröpfl, Roland Maier, Daniel Peterseim
Coarse-scale surrogate models in the context of numerical homogenization of linear elliptic problems with arbitrary rough diffusion coefficients rely on the efficient solution of f…