2 citations · 3 across the 5 of their papers we have counts for
8 papers
Multiscale solver for multi-component reaction-diffusion systems in heterogeneous media
Maria Vasilyeva, Alexey Sadovski, D. Palaniappan
Coupled nonlinear system of reaction-diffusion equations describing multi-component (species) interactions with heterogeneous coefficients is considered. Finite volume method based…
A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media
Aleksei Tyrylgin, Maria Vasilyeva, Anatoly Alikhanov +1
In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum…
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…
Preconditioning Markov Chain Monte Carlo Method for Geomechanical Subsidence using multiscale method and machine learning technique
Maria Vasilyeva, Aleksei Tyrylgin, Donald L. Brown +1
In this paper, we consider the numerical solution of the poroelasticity problem with stochastic properties. We present a Two-stage Markov Chain Monte Carlo method for geomechanical…
Nonlocal multicontinua with Representative Volume Elements. Bridging separable and non-separable scales
Eric T. Chung, Y. Efendiev, Wing T. Leung +1
Recently, several approaches for multiscale simulations for problems with high contrast and no scale separation are introduced. Among them is the nonlocal multicontinua (NLMC) meth…
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…