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.
Keywords: Steklov eigenvalues, Maxwell’s equation, finite element method
@article{M2AN_2022__56_1_287_0,
author = {Gong, Bo},
title = {Convergence analysis of two finite element methods for the modified {Maxwell{\textquoteright}s} {Steklov} eigenvalue problem},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {287--301},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {1},
doi = {10.1051/m2an/2022001},
mrnumber = {4378548},
zbl = {1490.65251},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an/2022001/}
}
TY - JOUR AU - Gong, Bo TI - Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2022 SP - 287 EP - 301 VL - 56 IS - 1 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/m2an/2022001/ DO - 10.1051/m2an/2022001 LA - en ID - M2AN_2022__56_1_287_0 ER -
%0 Journal Article %A Gong, Bo %T Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2022 %P 287-301 %V 56 %N 1 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/m2an/2022001/ %R 10.1051/m2an/2022001 %G en %F M2AN_2022__56_1_287_0
Gong, Bo. Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 56 (2022) no. 1, pp. 287-301. doi: 10.1051/m2an/2022001
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