We present a general strategy, adapted from classical homogenization theory, to approximate at the fine scale the solution to an elliptic equation with oscillatory coefficient when this coefficient is a locally perturbed periodic function. We illustrate numerically the efficiency of the approach. The setting considered is a particular case of a more general method which is developed in works in preparation
In this PhD thesis we prove some properties of elliptic equations in connection with periodic homoge...
We overview a series of recent works related to some multiscale problems motivated by prac...
This paper deals with a numerical study of classical homogenization of elliptic linear operators wi...
International audienceFollowing-up on our previous work [10], we present a general approach to appro...
A new finite element method for elliptic problems with locally periodic microstructure of length eps...
This paper aims at an accurate and efficient computation of effective quantities, e.g. the homogeniz...
In this paper, we will investigate a multiscale homogenization theory for a second-order elliptic pr...
This paper aims at an accurate and ecient computation of eective quantities, e.g., the homogenized c...
(Communicated by Andrea Braides) Abstract. In quasi-periodic homogenization of elliptic equations or...
An asymptotic scheme is generated that captures the motion of waves within discrete, semi-discrete a...
International audienceWe present a possible approach to approximate at both the coarse and fine scal...
The behaviour of compositematerials with periodically distributed constituents is considered. Mathem...
This paper presents two methods for the numerical solution of the classical homogenization problem o...
A new class of p version FEM for elliptic problems with microstructure is developed. Based on argume...
First, we investigate an homogenization problem for an oscillating elliptic equation. The material u...
In this PhD thesis we prove some properties of elliptic equations in connection with periodic homoge...
We overview a series of recent works related to some multiscale problems motivated by prac...
This paper deals with a numerical study of classical homogenization of elliptic linear operators wi...
International audienceFollowing-up on our previous work [10], we present a general approach to appro...
A new finite element method for elliptic problems with locally periodic microstructure of length eps...
This paper aims at an accurate and efficient computation of effective quantities, e.g. the homogeniz...
In this paper, we will investigate a multiscale homogenization theory for a second-order elliptic pr...
This paper aims at an accurate and ecient computation of eective quantities, e.g., the homogenized c...
(Communicated by Andrea Braides) Abstract. In quasi-periodic homogenization of elliptic equations or...
An asymptotic scheme is generated that captures the motion of waves within discrete, semi-discrete a...
International audienceWe present a possible approach to approximate at both the coarse and fine scal...
The behaviour of compositematerials with periodically distributed constituents is considered. Mathem...
This paper presents two methods for the numerical solution of the classical homogenization problem o...
A new class of p version FEM for elliptic problems with microstructure is developed. Based on argume...
First, we investigate an homogenization problem for an oscillating elliptic equation. The material u...
In this PhD thesis we prove some properties of elliptic equations in connection with periodic homoge...
We overview a series of recent works related to some multiscale problems motivated by prac...
This paper deals with a numerical study of classical homogenization of elliptic linear operators wi...