@Article{CiCP-26-558,
author = {Hengguang Li, Lin Mu and Xiu Ye},
title = {A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {2},
pages = {558--578},
abstract = {<p style="text-align: justify;">In this paper, we present a simple a posteriori error estimate for the weak
Galerkin (WG) finite element method for a model second order elliptic equation. This
residual type estimator can be applied to general meshes such as hybrid, polytopal
and those with hanging nodes. We prove the reliability and efficiency of the estimator. Extensive numerical tests demonstrate the effectiveness and flexibility of the mesh
refinement guided by this error estimator.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0058},
url = {http://global-sci.org/intro/article_detail/cicp/13102.html}
}