scholarly journals Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis

2009 ◽  
Vol 47 (1) ◽  
pp. 409-439 ◽  
Author(s):  
Erik Burman ◽  
Miguel A. Fernández
Keyword(s):  
Finite Element ◽  
Convergence Analysis ◽  
Finite Element Methods ◽  
Stokes Equations ◽  
Stability And Convergence ◽  
Galerkin Finite Element ◽  
Stability And Convergence Analysis ◽  
Galerkin Finite Element Methods ◽  
Pressure Stabilization

Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

2017 ◽  
Vol 9 (2) ◽  
pp. 362-377
Author(s):  
Gang Chen ◽  
Minfu Feng
Keyword(s):  
Exact Solution ◽  
Reynolds Number ◽  
Finite Element ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Galerkin Finite Element ◽  
Galerkin Finite Element Methods ◽  
Pressure Stabilization ◽  
Uniform Error Estimates

AbstractThis paper gives analysis of a semi-discrete scheme using equal order interpolation to solve unsteady Navier-Stokes equations. A unified pressure stabilized term is added to our scheme. We proved the uniform error estimates with respect to the Reynolds number, provided the exact solution is smooth.

Sign in / Sign up

Export Citation Format

Share Document