33 citations · 44 across the 2 of their papers we have counts for
3 papers
math.AP2019★ 33 cited
The homogenization method for topology optimization of structures: old and new
Grégoire Allaire, Lorenzo Cavallina, Nobuhito Miyake +2
These are the lecture notes of a short course on the homogenization method for topology optimization of structures, given by Grégoire Allaire, during the "GSIS International Summer…
math.AP2018
Crime Pays; Homogenized Wave Equations for Long Times
Grégoire Allaire, Agnes Lamacz, Jeffrey Rauch
This article examines the accuracy for large times of asymptotic expansions from periodic homogenization of wave equations. As usual, denotes the small period of the coefficien…
math.AP2015★ 11 cited
Localization for the Schrödinger equation in a locally periodic medium
Grégoire Allaire, Mariapia Palombaro
We study the homogenization of a Schrödinger equation in a locally periodic medium. For the time and space scaling of semi-classical analysis we consider well-prepared initial data…