  In this paper, we study the performance of the non-conforming least-squares
spectral element method for Stokes problem. Generalized Stokes problem has been
considered and the method is shown to be exponential accurate. The numerical
method is nonconforming and higher order spectral element functions are used.
The same order spectral element functions are used for both velocity and
pressure variables. The normal equations in the least-squares formulation are
solved efficiently using preconditioned conjugate gradient method. Various test
cases are considered including the Stokes problem on curvilinear domains,
Stokes problem with mixed boundary conditions and a generalized stokes problem
in \mathbb{R}^{3} to verify the accuracy of the method.

Numerical Analysis;Numerical Analysis