A spectral method for the Stokes problem in three-dimensional unbounded domains

Halpern, L.

doi:10.1090/S0025-5718-01-01269-8

A spectral method for the Stokes problem in three-dimensional unbounded domains
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Math. Comp. 70 (2001), 1417-1436 Request permission

Abstract:

We present a method for solving the Stokes problem in unbounded domains. It relies on the coupling of the transparent boundary operator and a spectral method in spherical coordinates. It is done explicitly by the use of vector-valued spherical harmonics. A uniform inf-sup condition is proved, which provides an optimal error estimate.

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