On a High-Frequency Analysis of Some Relevant Integral Equations in Electromagnetics
<|reference_start|>On a High-Frequency Analysis of Some Relevant Integral Equations in Electromagnetics: In this contribution we analyze the spectral properties of some commonly used boundary integral operators in computational electromagnetics and of their discrete counterparts, highlighting peculiar features of their spectra. In particular, a comparison with the eigenvalues of the continuous operators will be presented that highlights deviations in the high frequency regime and impacts, in a peculiar way, the accuracy of the numerical solutions of each formulation. A study and a proactive analysis of numerical results from standard boundary element solvers and the predictions from the theoretical analysis will corroborate the analytical framework employed and the validity of our observations.<|reference_end|>
@article{giunzioni2024on,
    title={On a High-Frequency Analysis of Some Relevant Integral Equations in
  Electromagnetics},
    author={V. Giunzioni, A. Merlini, F. P. Andriulli},
    journal={arXiv preprint arXiv:2407.09116},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.09116},
    primaryClass={cs.CE}
}