Finite element approximation of the modified Maxwell's stekloff eigenvalues
Document Type
Article
Publication Date
1-1-2021
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 Babu\v ska-Osborn theory, we prove an error estimate without additional regularity assumptions. Numerical results are presented for validation.
Publication Title
SIAM Journal on Numerical Analysis
Recommended Citation
Gong, B.,
Sun, J.,
&
Wu, X.
(2021).
Finite element approximation of the modified Maxwell's stekloff eigenvalues.
SIAM Journal on Numerical Analysis,
59(5), 2430-2448.
http://doi.org/10.1137/20M1328889
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/15615