An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations

2003 ◽  
Vol 19 (6) ◽  
pp. 762-775 ◽  
Author(s):  
Yinnian He ◽  
Aiwen Wang ◽  
Zhangxin Chen ◽  
Kaitai Li
Keyword(s):  
Finite Elements ◽  
Galerkin Method ◽  
Stokes Equations ◽  
Mixed Finite Elements ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Nonlinear Galerkin Method

A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier–Stokes equations

2017 ◽  
Vol 25 (4) ◽  
Author(s):  
Alexander Linke ◽  
Michael Neilan ◽  
Leo G. Rebholz ◽  
Nicholas E. Wilson
Keyword(s):  
Finite Elements ◽  
Stokes Equations ◽  
Mixed Finite Elements ◽  
Projection Methods ◽  
Navier Stokes ◽  
Spatial Discretization ◽  
Navier Stokes Equations ◽  
Coupled Method

AbstractWe prove that for several inf-sup stable mixed finite elements, the solution of the Chorin/Temam projection methods for Navier–Stokes equations equipped with grad–div stabilization with parameter γ converge to the associated coupled method solution with rate γ

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