Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …

In this paper, we discuss a general multiscale model reduction framework based on
multiscale finite element methods. We give a brief overview of related multiscale methods …

This paper introduces an Algebraic MultiScale method for simulation of flow in
heterogeneous porous media with embedded discrete Fractures (F-AMS). First, multiscale …

Inherently coupled flow and geomechanics processes in fractured shale media have
implications for shale gas production. The system involves highly complex geo-textures …

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

In this work, heat and mass transfer in a hypothetical Enhanced Geothermal System with
complex fracture network is considered. Fracture networks have complex geometries, exist …

In this work, we consider a nonlinear strain-limiting elastic model in heterogeneous
domains. We investigate heterogeneous material with soft and stiff inclusions and …

We consider the coupled system of equations that describe flow in fractured porous media.
To describe such types of problems, multicontinuum and multiscale approaches are used …

In this paper, our aim is to present (1) an embedded fracture model (EFM) for coupled flow
and mechanics problem based on the dual continuum approach on the fine grid and (2) an …

Coupled nonlinear system of reaction–diffusion equations describing multi-component
(species) interactions with heterogeneous coefficients is considered. Finite volume method …