On a High-Frequency Analysis of Some Relevant Integral Equations in Electromagnetics
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916320631586816 |
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| author | Giunzioni, V. Merlini, A. Andriulli, F. P. |
| author_facet | Giunzioni, V. Merlini, A. Andriulli, F. P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09116 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a High-Frequency Analysis of Some Relevant Integral Equations in Electromagnetics Giunzioni, V. Merlini, A. Andriulli, F. P. Computational Engineering, Finance, and Science 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. |
| title | On a High-Frequency Analysis of Some Relevant Integral Equations in Electromagnetics |
| topic | Computational Engineering, Finance, and Science |
| url | https://arxiv.org/abs/2407.09116 |