119 citations · 535 across the 49 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…
A posteriori error estimation and adaptive strategy for the control of MsFEM computations
Ludovic Chamoin, Frederic Legoll
We introduce quantitative and robust tools to control the numerical accuracy in simulations performed using the Multiscale Finite Element Method (MsFEM). First, we propose a guaran…
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…