Multi-level spectral Galerkin method for the Navier–Stokes equations, II: time discretization

2006 ◽  
Vol 25 (4) ◽  
pp. 403-433 ◽  
Author(s):  
Yinnian He ◽  
Kam-Moon Liu
Keyword(s):  
Galerkin Method ◽  
Stokes Equations ◽  
Time Discretization ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Spectral Galerkin Method ◽  
Multi Level

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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