A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh
share
A stabilizer free WG method is introduced for the Stokes equations with superconvergence on polytopal mesh in primary velocity-pressure formulation. Convergence rates two order higher than the optimal-order for velocity of the WG approximation is proved in both an energy norm and the L^2 norm. Optimal order error estimate for pressure in the L^2 norm is also established. The numerical examples cover low and high order approximations, and 2D and 3D cases.
READ FULL TEXT