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math.OC2026
Effective approximations of solutions to highly oscillatory diffusion equations from coarse measurements
Claude Le Bris, Frédéric Legoll, Simon Ruget
We approximate a diffusion equation with highly oscillatory coefficients with a diffusion equation with constant coefficients. The approach is put in action in contexts where only…
math.OC2020★ 2 cited
Some remarks on a coupling method for the practical computation of homogenized coefficients
Olga Gorynina, Claude Le Bris, Frédéric Legoll
We numerically investigate, and improve upon, a computational approach originally introduced in [Cottereau, IJNME 2013] which aims at evaluating the effective coefficient of a medi…