65 citations · 149 across the 21 of their papers we have counts for
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Multiscale Finite Element methods for advection-dominated problems in perforated domains
Claude Le Bris, Frederic Legoll, Francois Madiot
We consider an advection-diffusion equation that is advection-dominated and posed on a perforated domain. On the boundary of the perforations, we set either homogeneous Dirichlet o…
Fourier-based numerical approximation of the Weertman equation for moving dislocations
Marc Josien, Yves-Patrick Pellegrini, Frédéric Legoll +1
This work discusses the numerical approximation of a nonlinear reaction-advection-diffusion equation, which is a dimensionless form of the Weertman equation. This equation models s…
Perturbation problems in homogenization of hamilton-jacobi equations
Pierre Cardaliaguet, Claude Le Bris, Panagiotis Souganidis
This paper is concerned with the behavior of the ergodic constant associated with convex and superlinear Hamilton-Jacobi equation in a periodic environment which is perturbed eithe…