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Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations. (English) Zbl 0760.76041
Summary: We study a new mixed method for the Stokes and Navier-Stokes equations. The method uses two meshes, one very fine for $$\omega$$ and a coarser one for $$\psi$$. Error estimates show that boundary layers do not require to refine the mesh for the stream function $$\psi$$ as much as for the vorticity $$\omega$$ when the Reynolds number is large. We prove estimates and study implementation problems.

##### MSC:
 76M10 Finite element methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids 76D07 Stokes and related (Oseen, etc.) flows 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
##### Keywords:
error estimates; boundary layers
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##### References:
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