3 papers
math.NA2021
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…
math.NA2019
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…
math.NA2019
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…