@Article{IJNAM-21-822,
author = {Chen , ZhimingLi , KeLyu , Maohui and Xiang , Xueshaung},
title = {A High Order Unfitted Finite Element Method for Time-Harmonic Maxwell Interface Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {6},
pages = {822--849},
abstract = {<p style="text-align: justify;">We propose a high order unfitted finite element method for solving time-harmonic
Maxwell interface problems. The unfitted finite element method is based on a mixed formulation
in the discontinuous Galerkin framework on a Cartesian mesh with possible hanging nodes. The $H^2$ regularity of the solution to Maxwell interface problems with $C^2$ interfaces in each subdomain
is proved. Practical interface-resolving mesh conditions are introduced under which the $hp$ inverse
estimates on three-dimensional curved domains are proved. Stability and $hp$ a priori error estimate
of the unfitted finite element method are proved. Numerical results are included to illustrate the
performance of the method.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1033},
url = {http://global-sci.org/intro/article_detail/ijnam/23462.html}
}