@Article{JCM-34-549,
author = {Chen , GangFeng , Minfu and Xie , Xiaoping},
title = {Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations},
journal = {Journal of Computational Mathematics},
year = {2016},
volume = {34},
number = {5},
pages = {549--572},
abstract = {<p style="text-align: justify;">This paper proposes and analyzes a class of robust globally divergence-free weak Galerkin (WG) finite element methods for Stokes equations. The new methods use the $P_k/P_{k-1}&nbsp;(k ≥ 1)$ discontinuous finite element combination for velocity and pressure in the interior of elements, and piecewise $P_l/P_k (l=k-1,k)$ for the trace approximations of the velocity and pressure on the inter-element boundaries. Our methods not only yield globally divergence-free velocity solutions, but also have uniform error estimates with respect to the Reynolds number. Numerical experiments are provided to show the robustness of the proposed methods.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1604-m2015-0447},
url = {http://global-sci.org/intro/article_detail/jcm/9812.html}
}