65 citations · 149 across the 21 of their papers we have counts for
3 papers · 1 filter
On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators
Claude Le Bris, Frederic Legoll, Simon Lemaire
We approximate an elliptic problem with oscillatory coefficients using a problem of the same type, but with constant coefficients. We deliberately take an engineering perspective,…
Stable approximation of the advection-diffusion equation using the invariant measure
Claude Le Bris, Frederic Legoll, Francois Madiot
We consider an advection-diffusion equation that is both non-coercive and advection-dominated. We present a possible numerical approach, to our best knowledge new, and based on the…
Examples of computational approaches to accommodate randomness in elliptic PDEs
Claude Le Bris, Frederic Legoll
We overview a series of recent works addressing numerical simulations of partial differential equations in the presence of some elements of randomness. The specific equations manip…