Stabilized finite element schemes for incompressible flow using Scott–Vogelius elements

2008 ◽  
Vol 58 (11) ◽  
pp. 1704-1719 ◽  
Author(s):  
E. Burman ◽  
A. Linke
Keyword(s):  
Finite Element ◽  
Incompressible Flow ◽  
Stabilized Finite Element ◽  
Finite Element Schemes

scholarly journals Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Jilian Wu ◽  
Pengzhan Huang ◽  
Xinlong Feng
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Incompressible Flow ◽  
Flow Problem ◽  
Integration Method ◽  
Numerical Study ◽  
Element Space ◽  
Stabilized Finite Element Methods ◽  
Stabilized Finite Element ◽  
Incompressible Flow Problem

We discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space pair. Then we give the numerical comparisons between them in three numerical examples which show that the local Gauss integration method has good stability, efficiency, and accuracy properties and it is better than the others for the steady incompressible flow problem with damping on the whole. However, to our surprise, the regular method spends less CPU-time and has better accuracy properties by using Crout solver.

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