2 citations · 3 across the 5 of their papers we have counts for
8 papers · 1 filter
An adaptive two-grid preconditioner and linearly implicit scheme for shale gas transport in fractured porous media
Maria Vasilyeva, Ben S. Southworth, Shubin Fu
We consider a nonlinear mixed-dimensional model for simulating gas transport in shale formation. The mathematical model consists of a coupled system of nonlinear equations, where f…
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…