MsFEM `a la Crouzeix-Raviart for highly oscillatory elliptic problems We introduce and analyze a multiscale finite element type method (MsFEM) in the vein of the classical Crouzeix-Raviart finite element method that is specifically adapted for highly oscillatory elliptic problems. We illustrate numerically the efficiency of the approach and compare it with several variants of MsFEM.
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References in zbMATH (referenced in 9 articles )
Showing results 1 to 9 of 9.
- Le Bris, Claude; Legoll, Frédéric; Madiot, François: A numerical comparison of some multiscale finite element approaches for advection-dominated problems in heterogeneous media (2017)
- Lee, Chak Shing; Sheen, Dongwoo: Nonconforming generalized multiscale finite element methods (2017)
- Paredes, Diego; Valentin, Frédéric; Versieux, Henrique M.: On the robustness of multiscale hybrid-mixed methods (2017)
- Chung, Eric T.; Leung, Wing Tat; Vasilyeva, Maria: Mixed GMsFEM for second order elliptic problem in perforated domains (2016)
- Taralova, Vasilena; Brown, Donald L.: A Multiscale Finite Element Method for Neumann problems in porous microstructures (2016)
- Muljadi, B.P.; Narski, J.; Lozinski, A.; Degond, P.: Nonconforming multiscale finite element method for Stokes flows in heterogeneous media. I: Methodologies and numerical experiments (2015)
- Le Bris, Claude: Homogenization theory and multiscale numerical approaches for disordered media: some recent contributions (2014)
- Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei: An MsFEM type approach for perforated domains (2014)
- Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei: MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems (2013)