Abstract
This paper is devoted to the approximation of a non standard Stokes problem by spectral methods: in addition to the pressure assigned on a part of the boundary, the tangential vorticity is given on another part of the boundary. Several spectral discretizations are proposed and analysed. The inf-sup conditions, associated with the discretizations of this problem and with the spurious modes that follow from them, are thoroughly studied.
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Bernard, J.M. Spectral Discretizations of the Stokes Equations with Non Standard Boundary Conditions. Journal of Scientific Computing 20, 355–377 (2004). https://doi.org/10.1023/B:JOMP.0000025929.09802.f3
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DOI: https://doi.org/10.1023/B:JOMP.0000025929.09802.f3