Abstract
<abstract><p>A pressure-robust stabilizer-free weak Galerkin (WG) finite element method has been defined for the Stokes equations on triangular and tetrahedral meshes. We have obtained pressure-independent error estimates for the velocity without any velocity reconstruction. The optimal-order convergence for the velocity of the WG approximation has been proved for the $ L^2 $ norm and the $ H^1 $ norm. The optimal-order error convergence has been proved for the pressure in the $ L^2 $ norm. The theory has been validated by performing some numerical tests on triangular and tetrahedral meshes.</p></abstract>
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