@Article{AAMM-17-1411,
author = {Peng , JieXie , YingyingXu , Yage and Zhong , Liuqiang},
title = {A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2025},
volume = {17},
number = {5},
pages = {1411--1429},
abstract = {<p style="text-align: justify;">In this paper, we develop and analyze a weak Galerkin (WG) finite element
method for solving a $H({\rm curl})$-elliptic problem. With the aid of the weak curl operator
and a stabilizer term, we first design a WG discretization. Then, by using an auxiliary
problem and establishing an error equation, we achieve the optimal order error estimates in both the energy norm and $L^2$ norm for the WG method. At last, we report
some numerical experiments to confirm the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0101},
url = {http://global-sci.org/intro/article_detail/aamm/24286.html}
}