Analysis of multiscale finite element method for the stationary Navier-Stokes equations

DOI10.1016/j.nonrwa.2011.07.050zbMath1238.76016OpenAlexW2055900504MaRDI QIDQ420061

Zhihao Ge, Jingjing Yan

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.050

zbMATH Keywords

error estimatesStokes equationsmultiscale finite element methodNavier

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

A new multiscale finite element method for the 2D transient Navier–Stokes equations ⋮ Global existence and exponential stability for the strong solutions in \(H^{2}\) to the 3-D chemotaxis model ⋮ Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem ⋮ The two-level stabilized finite element method based on multiscale enrichment for the Stokes eigenvalue problem ⋮ A finite element variational multiscale method for incompressible flow ⋮ A stabilized finite volume method for the stationary Navier-Stokes equations ⋮ Multiscale enrichment of a finite volume element method for the stationary Navier–Stokes problem ⋮ Two-Level Defect-Correction Stabilized Finite Element Method for the Incompressible Navier–Stokes Equations Based on Pressure Projection ⋮ Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model

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