A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh
Abstract
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 L2 norm. Optimal order error estimate for pressure in the L2 norm is also established. The numerical examples cover low and high order approximations, and 2D and 3D cases.
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