A multidomain spectral collocation method for the Stokes problem (Q749178)

The Stokes problem in a plurirectangular domain with homogeneous Dirichlet boundary conditions is considered. The authors generalize a spectral collocation method for the case of a multidomain. They show that the discrete velocity is exactly divergence-free (for any value of discretization parameter) and state an inf-sup condition which guarantees compatibility between the velocity space and the pressure space. They also prove some convergence results for both the velocity and the pressure.