$\bf H(\mathrm{curl}^2)$ conforming element for Maxwell's transmission eigenvalue problem using fixed-point approach
Numerical Analysis
2026-04-06 v1 Numerical Analysis
Abstract
Using newly developed 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 -norm and -semi-norm) are established.
Cite
@article{arxiv.2206.03816,
title = {$\bf H(\mathrm{curl}^2)$ conforming element for Maxwell's transmission eigenvalue problem using fixed-point approach},
author = {Jiayu Han and Zhimin Zhang},
journal= {arXiv preprint arXiv:2206.03816},
year = {2026}
}