@Article{CiCP-38-887,
author = {Du , ZhijieDuan , Huoyuan and Zhu , Duowei},
title = {A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem},
journal = {Communications in Computational Physics},
year = {2025},
volume = {38},
number = {3},
pages = {887--922},
abstract = {<p style="text-align: justify;">A new discontinuous Galerkin (DG) method is proposed and analyzed for
the Maxwell eigenproblem, featuring a local reconstruction of the curl operator in
a discontinuous finite element space. The proposed method can be penalty-free or
penalty-factor-free, depending on which discontinuous finite element space the curl
operator is locally reconstructed in. The new DG method is recast into a saddle-point problem so that it can be analyzed from the Babuška-Osborn theory for the finite element approximation of the spectrum of the compact operator, and the convergence and the optimal error estimates are then obtained; the discrete eigenmodes
are spurious-free and spectral-correct. We provide numerical results to illustrate the
proposed method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2024-0151},
url = {http://global-sci.org/intro/article_detail/cicp/24318.html}
}