  We are interested in a fast solver for linear systems obtained by
discretizing the Stokes problem with multi-patch Isogeometric Analysis. We use
Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods. In
resent years, IETI-DPand related methods have been studied extensively, mainly
for the Poisson problem. For the Stokes equations, several challenges arise
since the corresponding system is not positive definite, but has saddle point
structure. Moreover, the Stokes equations with Dirichlet boundary conditions
have a null-space, consisting of the constant pressure modes. This poses a
challenge when considering the scaled Dirichlet preconditioner. We test out two
different scaled Dirichlet preconditioners with different choices of primal
degrees of freedom. The tests are performed on rather simple domains (the unit
square and a quarter annulus) and a more complicated domain (a Yeti-footprint).
