The aim of this monograph is to describe the main concepts and recent-vances in
multiscale? nite element methods. This monograph is intended for …

Metamaterials exhibit materials response deviation from conventional elasticity. This
phenomenon is captured by the generalized elasticity as a result of extending the theory at …

By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …

We study the homogenization problem for a convection-diffusion equation in a periodic
porous medium in the presence of a chemical reaction on the pores' surface. Mathematically …

We propose a two‐scale finite element method designed for heterogeneous microstructures.
Our approach exploits domain diffeomorphisms between the microscopic structures to gain …

The focus of this paper is two‐dimensional computational modelling of water flow in
unsaturated soils consisting of weakly conductive disconnected inclusions embedded in a …

We consider upscaling of non-Darcy flow in heterogeneous porous media. Our approach
extends the pressure-based numerical homogenization procedure for linear Darcy flow, due …

We propose a two-scale finite element method designed for heterogeneous microstructures.
Our approach exploits domain diffeomorphisms between the microscopic structures to gain …

This paper is devoted to the homogenization of Richardsʼ equation of van Genuchten–
Mualem model, which is a nonlinear degenerate parabolic differential equation. It is usually …

We shall consider diffusion or single-phase flow in a multiscale porous medium which
represents an infinite set of self-similar double-porosity media. At each scale, the medium …