Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …

Fourier-based homogenization schemes are useful to analyze heterogeneous
microstructures represented by 2D or 3D image data. These iterative schemes involve …

With the complexity of modern microstructured materials, computational homogenization
methods have been shown to provide accurate estimates of their effective mechanical …

The Fourier series method is used to solve the periodic homogenization problem for
conductive materials containing voids. The problems involving voids are special cases of …

An efficient numerical scheme at the crossroad of Fourier based methods and boundary
element methods is derived to upscale the permeability of porous media from Stokes flow …

Fast Fourier transform (FFT) has been successfully used to estimate the effective properties
of composites with meso periodic structure for more than two decades. Numerous …

As a reduced order homogenization approach, the FEM-Cluster based reduced order
Analysis method (FCA) proposed by Cheng et al. provides an efficient approach to predict …

Abstract The Fourier–Galerkin method (in short FFTH) has gained popularity in numerical
homogenisation because it can treat problems with a huge number of degrees of freedom …

In this article, we propose an expression for the periodic first derivative of Green's function in
real space. The proposed expression allows an alternative way of computing the periodic …

The present report is submitted in partial fulfilment of the French habilitation degree
(Habilitation à Diriger des Recherches). Covering the period 2011–2017, it gives an …