52 citations · 74 across the 9 of their papers we have counts for
4 papers · 1 filter
Stochastic homogenization of the Landau-Lifshitz-Gilbert equation
François Alouges, Anne De Bouard, Benoît Merlet +1
Following the ideas of V. V. Zhikov and A. L. Pyatnitski, and more precisely the stochastic two-scale convergence, this paper establishes a homogenization theorem in a stochastic s…
Cell averaging two-scale convergence: Applications to periodic homogenization
François Alouges, Giovanni Di Fratta
The aim of the paper is to introduce an alternative notion of two-scale convergence which gives a more natural modeling approach to the homogenization of partial differential equat…
Homogenization of Composite Ferromagnetic Materials
François Alouges, Giovanni Di Fratta
Nowadays, nonhomogeneous and periodic ferromagnetic materials are the subject of a growing interest. Actually such periodic configurations often combine the attributes of the const…
A semi-discrete scheme for the stochastic Landau-Lifshitz equation
François Alouges, Anne De Bouard, Antoine Hocquet
We propose a new convergent time semi-discrete scheme for the stochastic Landau-Lifshitz-Gilbert equation. The scheme is only linearly implicit and does not require the resolution…