65 citations · 149 across the 21 of their papers we have counts for
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A numerical comparison of some Multiscale Finite Element approaches for convection-dominated problems in heterogeneous media
Claude Le Bris, Frederic Legoll, François Madiot
The purpose of this work is to investigate the behavior of Multiscale Finite Element type methods for advection-diffusion problems in the advection-dominated regime. We present, st…
Some variance reduction methods for numerical stochastic homogenization
Xavier Blanc, Claude Le Bris, Frederic Legoll
We overview a series of recent works devoted to variance reduction techniques for numerical stochastic homogenization. Numerical homogenization requires solving a set of problems a…
Special Quasirandom Structures: a selection approach for stochastic homogenization
Claude Le Bris, Frederic Legoll, William Minvielle
We adapt and study a variance reduction approach for the homogenization of elliptic equations in divergence form. The approach, borrowed from atomistic simulations and solid-state…
Adaptive low-rank approximation and denoised Monte-Carlo approach for high-dimensional Lindblad equations
Claude Le Bris, Pierre Rouchon, Julien Roussel
We present a twofold contribution to the numerical simulation of Lindblad equations. First, an adaptive numerical approach to approximate Lindblad equations using low-rank dynamics…