L. Halpern, SPECTRAL METHODS IN POLAR COORDINATES FOR THE STOKES PROBLEM - APPLICATION TO COMPUTATION IN UNBOUNDED-DOMAINS, Mathematics of computation, 65(214), 1996, pp. 507-531
We present spectral methods for solving the Stokes problem in a circul
ar domain. Their main feature is the uniform inf-sup condition, which
allows for optimal error estimates. Tire apply them to the resolution
of exterior problems by coupling with the transparent boundary conditi
on.