119 citations · 535 across the 49 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…
Coupling a reactive potential with a harmonic approximation for atomistic simulations of material failure
Ignacio Tejada, Laurent Brochard, Tony Lelievre +3
Molecular dynamics (MD) simulations involving reactive potentials can be used to model material failure. The empirical potentials which are used in such simulations are able to ada…
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…