119 citations · 535 across the 49 of their papers we have counts for
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math.NA2017★ 17 cited
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…
math.NA2017★ 24 cited
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…