@Article{NMTMA-14-613,
author = {Ye , Xiu and Zhang , Shangyou},
title = {Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2021},
volume = {14},
number = {3},
pages = {613--623},
abstract = {<p style="text-align: justify;">This paper presents error estimates in both an energy norm and the $L^2$-norm for the weak Galerkin (WG) finite element methods for elliptic problems with
low regularity solutions. The error analysis for the continuous Galerkin finite element remains same regardless of regularity. A totally different analysis is needed for
discontinuous finite element methods if the elliptic regularity is lower than H-1.5.
Numerical results confirm the theoretical analysis.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2020-0120},
url = {http://global-sci.org/intro/article_detail/nmtma/19191.html}
}