66 citations · 292 across the 31 of their papers we have counts for
3 papers · 2 filters
Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media
Pierre Degond, Alexei Lozinski, Bagus Putra Muljadi +1
The adaptation of Crouzeix - Raviart finite element in the context of multiscale finite element method (MsFEM) is studied and implemented on diffusion and advection-diffusion probl…
An MsFEM type approach for perforated domains
Claude Le Bris, Frederic Legoll, Alexei Lozinski
We follow up on our previous work [C. Le Bris, F. Legoll and A. Lozinski, Chinese Annals of Mathematics 2013] where we have studied a multiscale finite element (MsFEM) type method…
A fictitious domain approach for the Stokes problem based on the extended finite element method
Sébastien Court, Michel Fournié, Alexei Lozinski
In the present work, we propose to extend to the Stokes problem a fictitious domain approach inspired by eXtended Finite Element Method and studied for Poisson problem in [Renard].…