A high order unfitted finite element method for time-Harmonic Maxwell interface problems
Numerical Analysis
2024-10-25 v3 Numerical Analysis
Abstract
We propose a high order unfitted finite element method for solving timeharmonic 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 regularity of the solution to Maxwell interface problems with 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.
Cite
@article{arxiv.2301.08944,
title = {A high order unfitted finite element method for time-Harmonic Maxwell interface problems},
author = {Zhiming Chen and Ke Li and Maohui Lyu and Xueshuang Xiang},
journal= {arXiv preprint arXiv:2301.08944},
year = {2024}
}