Rxqgdu \ & Rqglwlrqv Dqg ( Vwlpdwhv Iru Wkh 6 Whdg \ 6 Wrnhv ( Txdwlrqv Rq 6 Wdjjhuhg * Ulgv % Huwlo * Xvwdivvrq - Rqdv 1 Lovvrq

We consider the steady state Stokes equations, describing low speed ow and derive estimates of the solution for various types of boundary conditions. We formulate the boundary conditions in a new way, such that the boundary value problem becomes non-singular. By using a di erence approximation on a staggered grid we are able to derive a non-singular approximation in a direct way. Furthermore, we derive the same type of estimates as for the continuous case. Numerical experiments con rm the theoretical results.