scholarly journals Superconvergence of the MINI mixed finite element discretization of the Stokes problem: An experimental study in 3D

2022 ◽  
Vol 201 ◽  
pp. 103706
Author(s):  
Andrea Cioncolini ◽  
Daniele Boffi
2006 ◽  
Vol 16 (02) ◽  
pp. 233-263 ◽  
Author(s):  
Z. BELHACHMI ◽  
C. BERNARDI ◽  
S. DEPARIS ◽  
F. HECHT

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.


2016 ◽  
Vol 38 (5) ◽  
pp. A2912-A2933 ◽  
Author(s):  
D. Z. Kalchev ◽  
C. S. Lee ◽  
U. Villa ◽  
Y. Efendiev ◽  
P. S. Vassilevski

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