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Discrete harmonics for stream function-vorticity Stokes problem

✍ Scribed by François Dubois; Michel Salaün; Stéphanie Salmon

Publisher
Springer-Verlag
Year
2002
Tongue
English
Weight
364 KB
Volume
92
Category
Article
ISSN
0029-599X

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📜 SIMILAR VOLUMES

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We study the Stokes problem of incompressible fluid dynamics in two and three-dimension spaces, for general bounded domains with smooth boundary. We use the vorticity-velocity-pressure formulation and introduce a new Hilbert space for the vorticity. We develop an abstract mixed formulation that give

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## Abstract In this paper we derive a mixed variational formulation for the exterior Stokes problem in terms of the vorticity and stream function, or the vector potential in three dimensions. The main steps are the construction of the stream function (or vector potential) and the proof of the Babuš