4 papers
Towards a new PGD strategy for the simulation of slender structures
Jean Ruel, Frédéric Legoll, Arthur Lebée +1
Effective models for slender structures derived from well-known plate (or shell) theories are justified within the limit of a small thickness, and may therefore prove limited for i…
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…
Convergence of two-scale expansions for elastic heterogeneous plates
Virginie Ehrlacher, Arthur Lebée, Frédéric Legoll +1
The aim of this article is to prove strong convergence results on the difference between the solution to highly oscillatory problems posed in thin domains and its two-scale expansi…
MsFEM for advection-dominated problems in heterogeneous media: Stabilization via nonconforming variants
Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll +1
We study the numerical approximation of advection-diffusion equations with highly oscillatory coefficients and possibly dominant advection terms by means of the Multiscale Finite E…