scholarly journals Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem

2006 ◽  
Vol 105 (2) ◽  
pp. 217-247 ◽  
Author(s):  
Zakaria Belhachmi ◽  
Christine Bernardi ◽  
Simone Deparis
Keyword(s):  
Finite Element ◽  
Stokes Problem ◽  
Finite Element Discretization ◽  
Element Discretization

A TRUNCATED FOURIER/FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS IN AN AXISYMMETRIC DOMAIN

2006 ◽  
Vol 16 (02) ◽  
pp. 233-263 ◽  
Author(s):  
Z. BELHACHMI ◽  
C. BERNARDI ◽  
S. DEPARIS ◽  
F. HECHT
Keyword(s):  
Finite Element ◽  
Stokes Equations ◽  
Stokes Problem ◽  
A Priori ◽  
Three Dimensional ◽  
Angular Variable ◽  
A Posteriori ◽  
Finite Element Discretization ◽  
Element Discretization ◽  
Good Agreement

We consider the Stokes problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations on the meridian domain. We propose a discretization of this problem which combines Fourier truncation and finite element methods applied to each of the two-dimensional systems. We give the detailed a priori and a posteriori analyses of the discretization and present some numerical experiments which are in good agreement with the analysis.

Sign in / Sign up

Export Citation Format

Share Document