Mortar spectral element discretization of the Stokes problem in axisymmetric domains

Saloua Mani Aouadi (1) , Christine Bernardi (2) , Jamil Satouri (1)

1 FST - Faculté des Sciences Mathématiques, Physiques et Naturelles de Tunis
2 LJLL - Laboratoire Jacques-Louis Lions

Abstract: The Stokes problem in a tridimensional axisymmetric domain results into a countable family of two-dimensional problems when using the Fourier coefficients with respect to the angular variable. Relying on this dimension reduction, we propose and study a mortar spectral element discretization of the problem. Numerical experiments confirm the efficiency of this method.

Mots clés: Axisymmetric domains; Mortar method; Spectral element method; Stokes equation

Domaines: Analyse numérique [cs.NA]

Saloua Mani Aouadi, Christine Bernardi, Jamil Satouri. Mortar spectral element discretization of the Stokes problem in axisymmetric domains. Numerical Methods for Partial Differential Equations, 2014, Volume 30 (Issue 1), pp.44-73. ⟨hal-00564003⟩