119 citations · 535 across the 49 of their papers we have counts for
4 papers · 1 filter
An MsFEM type approach for perforated domains
Claude Le Bris, Frederic Legoll, Alexei Lozinski
We follow up on our previous work [C. Le Bris, F. Legoll and A. Lozinski, Chinese Annals of Mathematics 2013] where we have studied a multiscale finite element (MsFEM) type method…
Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem
Frederic Legoll, William Minvielle
We consider a nonlinear convex stochastic homogenization problem, in a stationary setting. In practice, the deterministic homogenized energy density can only be approximated by a r…
Multi-Level Monte Carlo approaches for numerical homogenization
Yalchin Efendiev, Cornelia Kronsbein, Frederic Legoll
In this article, we study the application of Multi-Level Monte Carlo (MLMC) approaches to numerical random homogenization. Our objective is to compute the expectation of some funct…
Effective dynamics for a kinetic Monte-Carlo model with slow and fast time scales
Salma Lahbabi, Frederic Legoll
We consider several multiscale-in-time kinetic Monte Carlo models, in which some variables evolve on a fast time scale, while the others evolve on a slow time scale. In the first t…