Description
CLIQUER ICI POUR REJOINDRE LA SALLE 1
Président.e de session : Nicolas Forcadel
Modérateur.trice : Thierry Horsin
Documents de présentation
A multi-scale finite element method (MsFEM) is a finite element approach that allows to solve partial differential equations (PDEs) with highly oscillatory coefficients on a coarse mesh, that is, a mesh with elements of size much larger than the characteristic scale of the oscillations [1, 2]. To do so, MsFEMs use pre-computed basis functions adapted to the differential operator that comprizes...
Dans cette communication, je considérerai un problème d'homogénéisation pour l'équation de diffusion
The objective of this talk is to study the homogenization of the Poisson equation in a non periodically perforated domain (see [1]). In this setting, the size of the perforations is proportional to the distance between neighbouring cells and scales like
$$
\begin{cases}
\begin{aligned}
- \Delta u_{\varepsilon} & = f \quad...
In our work, the three-scale homogenization methods are proposed to study the electrical behavior of the cardiac tissue structure with multiple heterogeneities at two different levels. The first level associated with the mesoscopic structure such that the cardiac tissue is composed at extracellular
In this talk, we formalize the approach originally introduced in [Cottereau, R. (2013). Numerical strategy for unbiased homogenization of random materials. International journal for numerical methods in engineering, 95(1), 71-90]. The approach aims at evaluating the effective (a.k.a. homogenized) coefficient of a medium with some fine-scale structure. It combines, using the Arlequin coupling...
