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Nonconforming multiscale finite element method for Stokes flows in heterogeneous media. Part I: Methodologies and numerical experiments (2015)
Journal Article

The multiscale finite element method (MsFEM) is developed in the vein of the Crouzeix--Raviart element for solving viscous incompressible flows in genuine heterogeneous media. Such flows are relevant in many branches of engineering, often at multiple... Read More about Nonconforming multiscale finite element method for Stokes flows in heterogeneous media. Part I: Methodologies and numerical experiments.

Crouzeix-Raviart MsFEM with bubble functions for diffusion and advection-diffusion in perforated media (2015)
Journal Article

The adaptation of Crouzeix-Raviart finite element in the context of multi-scale finite element method (MsFEM) is studied and implemented on diffusion and advection-diffusion problems in perforated media. It is known that the approximation of boundary... Read More about Crouzeix-Raviart MsFEM with bubble functions for diffusion and advection-diffusion in perforated media.