Stability and error analysis for a spectral Galerkin method for the Navier-Stokes equations withH2 orH1 initial data

2005 ◽  
Vol 21 (5) ◽  
pp. 875-904 ◽  
Author(s):  
Yinnian He
Keyword(s):  
Initial Data ◽  
Error Analysis ◽  
Galerkin Method ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Spectral Galerkin Method ◽  
Stability And Error Analysis

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.

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

A simple proof of existence of weak and statistical solutions of Navier–Stokes equations

1992 ◽  
Vol 436 (1896) ◽  
pp. 1-11 ◽  
Keyword(s):  
Weak Solution ◽  
Initial Data ◽  
Natural Number ◽  
Simple Proof ◽  
Stokes Equations ◽  
Galerkin Approximation ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Existence Proofs ◽  
Statistical Solutions

The Galerkin approximation to the Navier–Stokes equations in dimension N , where N is an infinite non-standard natural number, is shown to have standard part that is a weak solution. This construction is uniform with respect to non-standard representation of the initial data, and provides easy existence proofs for statistical solutions.

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