Belhachmi, Zakaria
Bernardi, Christine
Deparis, Simone
Hecht, Frédéric
A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain
http://dx.doi.org/10.1142/S0218202506001133
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.
2007-12-13T15:40:54Z
http://infoscience.epfl.ch/record/114798