MsFEM

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.


References in zbMATH (referenced in 13 articles )

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  1. Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon: A hybrid high-order method for highly oscillatory elliptic problems (2019)
  2. Le Bris, Claude; Legoll, FreDeRic; Madiot, FrancOis: Multiscale finite element methods for advection-dominated problems in perforated domains (2019)
  3. Vasilyeva, Maria; Chung, Eric T.; Leung, Wing Tat; Wang, Yating; Spiridonov, Denis: Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using non-local multi-continuum method (NLMC) (2019)
  4. Le Bris, Claude; Legoll, Frédéric: Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs (2017)
  5. Le Bris, Claude; Legoll, Frédéric; Madiot, François: A numerical comparison of some multiscale finite element approaches for advection-dominated problems in heterogeneous media (2017)
  6. Lee, Chak Shing; Sheen, Dongwoo: Nonconforming generalized multiscale finite element methods (2017)
  7. Paredes, Diego; Valentin, Frédéric; Versieux, Henrique M.: On the robustness of multiscale hybrid-mixed methods (2017)
  8. Chung, Eric T.; Leung, Wing Tat; Vasilyeva, Maria: Mixed GMsFEM for second order elliptic problem in perforated domains (2016)
  9. Taralova, Vasilena; Brown, Donald L.: A multiscale finite element method for Neumann problems in porous microstructures (2016)
  10. 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)
  11. Le Bris, Claude: Homogenization theory and multiscale numerical approaches for disordered media: some recent contributions (2014)
  12. Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei: An MsFEM type approach for perforated domains (2014)
  13. Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei: MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems (2013)