A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh

09/24/2020

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by   Xiu Ye, et al.

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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.