Xiu Ye, Shangyou Zhang
Published 2020-09-24Version 1
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.
Comments: arXiv admin note: text overlap with arXiv:2007.01161
A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes
A stabilizer-free pressure-robust finite element method for the Stokes equations
A mixed finite element method on polytopal mesh
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