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math.NA2022★ 23 cited
Prediction of numerical homogenization using deep learning for the Richards equation
Sergei Stepanov, Denis Spiridonov, Tina Mai
For the nonlinear Richards equation as an unsaturated flow through heterogeneous media, we build a new coarse-scale approximation algorithm utilizing numerical homogenization. This…
math.NA2022
An Online Generalized Multiscale finite element method for heat and mass transfer problem with artificial ground freezing
Denis Spiridonov, Sergei Stepanov, Vasil`ev Vasiliy
In this paper, we present an Online Generalized Multiscale Finite Element Method(Online GMsFEM) for heat and mass transfer problem in heterogeneous media with artificial ground fre…