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

2020/09/24 by Xiu Ye, Ye, Xiu, Shangyou Zhang +1
Engineering · #65N15 #65N30 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2009.12226

openalex publication_date 2020/09/24 · openalex created_date 2020/10/01 · openalex updated_date 2026/07/28

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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