Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments

DOI10.1137/14096428XzbMath1335.76035arXiv1404.2837MaRDI QIDQ3459650

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

Publication date: 11 January 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2837

zbMATH Keywords

penalization methodStokes equationsCrouzeix-Raviart elementmultiscale finite element method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (11)

Mixed GMsFEM for second order elliptic problem in perforated domains ⋮ Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries ⋮ 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 ⋮ Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs ⋮ Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains ⋮ A generalized multiscale finite element method for the Brinkman equation ⋮ Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains ⋮ A multiscale finite element method for Neumann problems in porous microstructures ⋮ Nonconforming generalized multiscale finite element methods ⋮ Enriched Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media Based on High-order Weighting Functions

Uses Software

• MsFEM

Cites Work

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