A full discretization of the time-dependent Navier-Stokes equations by a two-grid scheme

DOI10.1051/m2an:2007056zbMath1137.76032OpenAlexW2144272298MaRDI QIDQ5447493

Hyam Abboud, Toni Sayah

Publication date: 6 March 2008

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194398

zbMATH Keywords

global error estimatecoarse gridfine grid

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (13)

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Uses Software

• FreeFem++

Cites Work

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• A stable finite element for the Stokes equations
• Two-level Picard and modified Picard methods for the Navier-Stokes equations
• A two-level discretization method for the Navier-Stokes equations
• Two-grid finite element scheme for the fully discrete time-dependent Navier-Stokes problem
• Two-grid finite-element schemes for the transient Navier-Stokes problem
• Finite Element Methods for Navier-Stokes Equations
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• Une méthode d'approximation de la solution des équations de Navier-Stokes
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra

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