Discrete harmonics for stream function-vorticity Stokes problem - Laboratoire de Mathématiques d'Orsay
Article Dans Une Revue Numerische Mathematik Année : 2002

Discrete harmonics for stream function-vorticity Stokes problem

Résumé

We consider the bidimensional Stokes problem for incompressible fluids in stream function-vorticity. For this problem, the classical finite elements method of degree one converges only to order one-half 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 one for the L2 norm of the vorticity.
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Dates et versions

hal-04834729 , version 1 (12-12-2024)

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François Dubois, Michel Salaün, Stéphanie Salmon. Discrete harmonics for stream function-vorticity Stokes problem. Numerische Mathematik, 2002, 92 (4), pp.711-742. ⟨10.1007/s002110100369⟩. ⟨hal-04834729⟩
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