@article{Yang2024, 
author = {Yan Yang and Xiu Ye and Shangyou Zhang},
title = {A pressure-robust stabilizer-free WG finite element method for the Stokes equations on simplicial grids},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {5},
pages = {3413-3432},
keywords = {stabilizer-free, weak Galerkin, finite element, Stokes equations, pressure robust, tetrahedral meshes},
url = {https://www.sciopen.com/article/10.3934/era.2024158},
doi = {10.3934/era.2024158},
abstract = {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.}
}