23 citations · 23 across the 7 of their papers we have counts for
7 papers
Non-Local Multi-Continuum method (NLMC) for Darcy-Forchheimer flow in fractured media
Denis Spiridonov, Maria Vasilyeva
This work presents the application of the non-local multicontinuum method (NLMC) for the Darcy-Forchheimer model in fractured media. The mathematical model describes a nonlinear fl…
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…
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…
Mixed Generalized Multiscale Finite Element Method for Flow Problem in Thin Domains
Denis Spiridonov, Maria Vasilyeva, Min Wang +1
In this paper, we construct a class of Mixed Generalized Multiscale Finite Element Methods for the approximation on a coarse grid for an elliptic problem in thin two-dimensional do…
Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media
Aleksei Tyrylgin, Maria Vasilyeva, Denis Spiridonov +1
In this paper, we consider a poroelasticity problem in heterogeneous multicontinuum media that is widely used in simulations of the unconventional hydrocarbon reservoirs and geothe…
Generalized Multiscale Finite Element method for multicontinua unsaturated flow problems in fractured porous media
Denis Spiridonov, Maria Vasilyeva, Eric T. Chung
In this paper, we present a multiscale method for simulations of the multicontinua unsaturated flow problems in heterogeneous fractured porous media. The mathematical model is desc…
Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC)
Maria Vasilyeva, Eric T. Chung, Wing Tat Leung +2
In this paper, we present an upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations. Our methodology is based on the recently…