@Article{CSIAM-AM-6-468,
author = {Han , Jiayu and Zhang , Zhimin},
title = {$\mathbf{H}$(${\rm curl}^2$) Conforming Element for Maxwell’s Transmission Eigenvalue Problem Using Fixed-Point Approach},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2025},
volume = {6},
number = {3},
pages = {468--488},
abstract = {<p style="text-align: justify;">Using newly developed $\mathbf{H}$(${\rm curl}^2$) conforming elements, we solve the
Maxwell’s transmission eigenvalue problem. Both real and complex eigenvalues are
considered. Based on the fixed-point weak formulation with reasonable assumptions,
the optimal error estimates for numerical eigenvalues and eigenfunctions (in the&nbsp;<span style="text-align: justify; text-wrap-mode: wrap;">$\mathbf{H}$(${\rm curl}^2$)</span>-norm and $\mathbf{H}{\rm (curl)}$-semi-norm) are established. Numerical experiments are
performed to verify the theoretical assumptions and confirm our theoretical analysis.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.SO-2021-0046},
url = {http://global-sci.org/intro/article_detail/csiam-am/24372.html}
}