Spectral methods in polar coordinates for the Stokes problem. Application to computation in unbounded domains

Halpern, Laurence

doi:10.1090/S0025-5718-96-00710-7

Spectral methods in polar coordinates for the Stokes problem. Application to computation in unbounded domains
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Math. Comp. 65 (1996), 507-531 Request permission

Abstract:

We present spectral methods for solving the Stokes problem in a circular domain. Their main feature is the uniform inf-sup condition, which allows for optimal error estimates. We apply them to the resolution of exterior problems by coupling with the transparent boundary condition.

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