Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media

DOI10.4208/cicp.2014.m299zbMath1373.76081arXiv1310.8639OpenAlexW2962696537MaRDI QIDQ5372352

Alexei Lozinski, Bagus Putra Muljadi, Jacek Narski, Pierre Degond

Publication date: 27 October 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8639

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Multiple scale methods for ordinary differential equations (34E13)

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Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments ⋮ P1$$ {P}_1 $$‐nonconforming quadrilateral finite element space with periodic boundary conditions: Part II. Application to the nonconforming heterogeneous multiscale method ⋮ Non-conforming multiscale finite element method for Stokes flows in heterogeneous media. II: Error estimates for periodic microstructure ⋮ Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains ⋮ Nonconforming generalized multiscale finite element methods ⋮ Enriched Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media Based on High-order Weighting Functions

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