Finite Element Approximation of the Modified Maxwell's Stekloff Eigenvalues
Numerical Analysis
2020-04-10 v1 Numerical Analysis
Abstract
The modified Maxwell's Stekloff eigenvalue problem arises recently from the inverse electromagnetic scattering theory for inhomogeneous media. This paper contains a rigorous analysis of both the eigenvalue problem and the associated source problem on Lipschitz polyhedra. A new finite element method is proposed to compute Stekloff eigenvalues. By applying the Babuska-Osborn theory, we prove an error estimate without additional regularity assumptions. Numerical results are presented for validation.
Cite
@article{arxiv.2004.04588,
title = {Finite Element Approximation of the Modified Maxwell's Stekloff Eigenvalues},
author = {Bo Gong and Jiguang Sun and Xinming Wu},
journal= {arXiv preprint arXiv:2004.04588},
year = {2020}
}