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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.NA2025
Super-Localized Orthogonal Decomposition Method for Heterogeneous Linear Elasticity
Camilla Belponer, José C. Garay, Peter Munch +1
We present the Super-Localized Orthogonal Decomposition (SLOD) method for the numerical homogenization of linear elasticity problems with multiscale microstructures modeled by a he…