Issue |
ESAIM: M2AN
Volume 56, Number 1, January-February 2022
|
|
---|---|---|
Page(s) | 287 - 301 | |
DOI | https://doi.org/10.1051/m2an/2022001 | |
Published online | 10 February 2022 |
Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem
Faculty of Science, Beijing University of Technology, Beijing 100124, P.R. China
* Corresponding author: gongbo@bjut.edu.cn
Received:
21
May
2021
Accepted:
3
January
2022
The modified Maxwell’s Steklov eigenvalue problem is a new problem arising from the study of inverse electromagnetic scattering problems. In this paper, we investigate two finite element methods for this problem and perform the convergence analysis. Moreover, the monotonic convergence of the discrete eigenvalues computed by one of the methods is analyzed.
Mathematics Subject Classification: 65N25 / 65N30
Key words: Steklov eigenvalues / Maxwell’s equation / finite element method
© The authors. Published by EDP Sciences, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.