Weak Galerkin Finite Element Method for the Unsteady Stokes Equation

Chen Ning, Haiming Gu
2018 American Journal of Computational Mathematics  
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