A mixed FEM for the quad-curl eigenvalue problem
Numerical Analysis
2013-10-25 v1
Abstract
The quad-curl problem arises in the study of the electromagnetic interior transmission problem and magnetohydrodynamics (MHD). In this paper, we study the quad-curl eigenvalue problem and propose a mixed method using edge elements for the computation of the eigenvalues. To the author's knowledge, it is the first numerical treatment for the quad-curl eigenvalue problem. Under suitable assumptions on the domain and mesh, we prove the optimal convergence. In addition, we show that the divergence-free condition can be bypassed. Numerical results are provided to show the viability of the method.
Keywords
Cite
@article{arxiv.1310.6618,
title = {A mixed FEM for the quad-curl eigenvalue problem},
author = {Jiguang Sun},
journal= {arXiv preprint arXiv:1310.6618},
year = {2013}
}