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Article Dans Une Revue Numerische Mathematik Année : 2002

Discrete harmonics for stream function-vorticity Stokes problem

Stéphanie Salmon
François Dubois
Michel Salaün

Résumé

We consider the bidimensional Stokes problem for incompressible fluids in stream function-vorticity. For this problem, the classical finite element method of degree one converges only in O(Öh) for the L2-norm of the vorticity. We propose to use harmonic functions to approach the vorticity along the boundary. Discrete harmonics are functions that are used in practice to derive a new numerical method. We prove that we obtain with this numerical scheme an error of order O(h) for the L2-norm of the vorticity.

Dates et versions

hal-00114578 , version 1 (17-11-2006)

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Stéphanie Salmon, François Dubois, Michel Salaün. Discrete harmonics for stream function-vorticity Stokes problem. Numerische Mathematik, 2002, 92, pp.711-742. ⟨10.1007/s002110100369⟩. ⟨hal-00114578⟩

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