We consider an alternative formulation for the Stokes problem in which the velocity is sought in H(curl).
Enforcing Navier-slip boundary conditions in the H(curl)-based setting is non-trivial, but it can be done by considering it as a Robin boundary condition.
We prove well-posedness of the continuous problem using compact perturbation theory.
The discrete problem is analyzed using a curl-preserving lifting operator and we derive a priori error estimates for the discrete solution.
Numerical results validate the predicted convergence rates.
