1 citations · 1 across the 1 of their papers we have counts for
2 papers
math.NA2025
Locally Subspace-Informed Neural Operators for Efficient Multiscale PDE Solving
Alexander Rudikov, Vladimir Fanaskov, Sergei Stepanov +4
Neural operators (NOs) struggle with high-contrast multiscale partial differential equations (PDEs), where fine-scale heterogeneities cause large errors. To address this, we use th…
math.NA2024★ 1 cited
Prediction of discretization of online GMsFEM using deep learning for Richards equation
Denis Spiridonov, Sergei Stepanov, Tina Mai
We develop a new coarse-scale approximation strategy for the nonlinear single-continuum Richards equation as an unsaturated flow over heterogeneous non-periodic media, using the on…