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The two-dimensional Navier–Stokes equations, when subject to non-standard boundary conditions which involve the normal component of the velocity and the vorticity, admit a variational formulation with three independent unknowns, the vorticity, velocity and pressure. We propose a discretization of this problem by spectral element methods. A detailed numerical analysis leads to optimal error estimates...
RID=ID=E5Correspondence to:/E5 C. BernardiRID=ID= E5Dedicated to Olof B. Widlund on the occasion of his 60th birthday/E5 Summary. The aim of this paper is to prove some BabukaBrezzi type conditions which are involved in the mortar spectral element discretization of the Stokes problem, for several cases of nonconforming domain decompositions.
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