Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problemReport as inadecuate




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1 Département de mathématiques 2 LJLL - Laboratoire Jacques-Louis Lions 3 Département de mathématiques Tunis

Abstract : We consider the Stokes problem provided with non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity. We write a variational formulation of this problem with three independent unknowns: the vorticity, the velocity and the pressure. Next we propose a discretization by spectral element methods which relies on this formulation. A detailed numerical analysis leads to optimal error estimates for the three unknowns and numerical experiments confirm the interest of the discretization.





Author: Karima Amoura - Christine Bernardi - Nejmeddine Chorfi -

Source: https://hal.archives-ouvertes.fr/



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