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The Weak Galerkin (WG) finite element method for the unsteady Stokes equations in the primary velocity-pressure formulation is introduced in this paper. Optimal-order error estimates are established for the corresponding numerical approximation in an H 1 norm for the velocity, and L 2 norm for both the velocity and the pressure by use of the Stokes projection.doi:10.4236/ajcm.2018.81009 fatcat:chygi2ouzfge5fx4jjm2epwjcu