65 citations · 149 across the 21 of their papers we have counts for
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Homogenization of some viscous Hamilton--Jacobi equations using variational arguments on probability spaces
Andrea Braides, Gianni Dal Maso, Claude Le Bris
This work studies the asymptotic behavior of a class of viscous Hamilton--Jacobi equations with oscillatory periodic potentials, already studied by other authors in the PDE framewo…
Numerical homogenization of a linear multiscale conservation law
Claude Le Bris, Frédéric Legoll, Giulia Merlini
We address the numerical approximation of a scalar conservation law with a highly oscillatory flux, in the linear setting. Taking advantage of the intrinsic numerical viscosity of…
A Multiscale Finite Element Method for reaction-diffusion eigenproblems arising from neutronics
Claude Le Bris, Albéric Lefort, Frédéric Legoll
We consider reaction-diffusion eigenproblems with oscillatory diffusion and reaction coefficients. The reaction coefficient magnitude is large: the corrector equation identified by…