Unconditionally Optimal Error Analysis of a Linear Euler FEM Scheme for the Navier–Stokes Equations with Mass Diffusion

2021 ◽  
Vol 90 (1) ◽  
Author(s):  
Yuan Li ◽  
Rong An
Keyword(s):  
Error Analysis ◽  
Stokes Equations ◽  
Mass Diffusion ◽  
Navier Stokes ◽  
Optimal Error ◽  
Navier Stokes Equations

scholarly journals Error Analysis of a Subgrid Eddy Viscosity Multi-Scale Discretization of the Navier-Stokes Equations

SeMA Journal ◽  
2012 ◽  
Vol 60 (1) ◽  
pp. 51-74
Author(s):  
Christine Bernardi ◽  
Tomás Chacón Rebollo ◽  
Macarena Gómez Mármol
Keyword(s):  
Error Analysis ◽  
Eddy Viscosity ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Multi Scale

scholarly journals Optimal error bounds for two-grid schemes applied to the Navier–Stokes equations

2012 ◽  
Vol 218 (13) ◽  
pp. 7034-7051 ◽  
Author(s):  
Javier de Frutos ◽  
Bosco García-Archilla ◽  
Julia Novo
Keyword(s):  
Error Bounds ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Optimal Error ◽  
Navier Stokes Equations

scholarly journals On Error Analysis for the 3D Navier–Stokes Equations in Velocity-Vorticity-Helicity Form

2011 ◽  
Vol 49 (2) ◽  
pp. 711-732 ◽  
Author(s):  
Hyesuk K. Lee ◽  
Maxim A. Olshanskii ◽  
Leo G. Rebholz
Keyword(s):  
Error Analysis ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals Spectral Galerkin Method in Space and Time for the 2Dg-Navier-Stokes Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-18
Author(s):  
Dao Trong Quyet
Keyword(s):  
Initial Data ◽  
Error Analysis ◽  
Galerkin Method ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Bounded Domains ◽  
Euler Scheme ◽  
Navier Stokes Equations ◽  
Space And Time ◽  
Spectral Galerkin Method

We prove theH2-stability andL2-error analysis of the spectral Galerkin method in space and time with the implicit/explicit Euler scheme for the 2Dg-Navier-Stokes equations in bounded domains when the initial data belong toH1.

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