Belhachmi, ZakariaBernardi, ChristineDeparis, SimoneHecht, Frédéric2007-12-132007-12-132007-12-13200610.1142/S0218202506001133https://infoscience.epfl.ch/handle/20.500.14299/15595We 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.Stokes equationsaxisymmetric domainFourier truncationfinite elementstext::journal::journal article::research article