A local projection stabilization/continuous Galerkin–Petrov method for incompressible flow problems

2018 ◽  
Vol 333 ◽  
pp. 304-324
Author(s):  
Naveed Ahmed ◽  
Volker John ◽  
Gunar Matthies ◽  
Julia Novo
Keyword(s):  
Incompressible Flow ◽  
Local Projection ◽  
Flow Problems ◽  
Local Projection Stabilization ◽  
Continuous Galerkin

scholarly journals Local Projection Stabilization Method for Incompressible Flow Problems

2012 ◽  
Vol 17 (2) ◽  
pp. 187
Author(s):  
A.M. Essefi ◽  
K. Nafa
Keyword(s):  
Stokes Problem ◽  
Rates Of Convergence ◽  
Stabilization Method ◽  
Local Projection ◽  
Numerical Examples ◽  
Flow Problems ◽  
Local Projection Stabilization ◽  
Optimal Rates Of Convergence ◽  
Stability And Accuracy ◽  
Methods Numerical

We analyze Local Projection Stabilization (LPS) methods for the solution of Stokes problem using equal order finite elements. We investigate their convergence, stability and accuracy properties. The resulting stabilized method is shown to lead to optimal rates of convergence for both velocity and pressure approximations. We distinguish two classes of LPS methods: one-level and two-level methods. Numerical examples using bilinear interpolations are presented to validate the analysis and assess the accuracy of both approaches.  

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