@Article{CiCP-33-4,
author = {Zhang, Baiju and Zhimin, Zhang},
title = {A New Family of Nonconforming Elements with $H$(curl)-Continuity for the 3D Quad-Curl Problem},
journal = {Communications in Computational Physics},
year = {2023},
volume = {33},
number = {4},
pages = {1069--1089},
abstract = {<p style="text-align: justify;">We propose and analyze a new family of nonconforming finite elements
for the three-dimensional quad-curl problem. The proposed finite element spaces are
subspaces of $\boldsymbol{H}$(curl), but not of $\boldsymbol{H}$(grad curl), which are different from the existing
nonconforming ones [10,12,13]. The well-posedness of the discrete problem is proved
and optimal error estimates in discrete $\boldsymbol{H}$(grad curl) norm, $\boldsymbol{H}$(curl) norm and $L^2$ norm
are derived. Numerical experiments are provided to illustrate the good performance
of the method and confirm our theoretical predictions.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2022-0216},
url = {https://global-sci.com/article/79442/a-new-family-of-nonconforming-elements-with-hcurl-continuity-for-the-3d-quad-curl-problem}
}