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EnglishIn this paper, we characterize the logarithmic singularities arising in the method of moments from the Green’s function in integrals over the test domain, and we use two approaches for designing geometrically symmetric quadrature rules to integrate these singular integrands. These rules exhibit better convergence properties than quadrature rules for polynomials and, in general, lead to better accuracy with a lower number of quadrature points. We demonstrate their effectiveness for several examples encountered in both the scalar and vector potentials of the electric-field integral equation (singular, near-singular, and far interactions) as compared to the commonly employed polynomial scheme and the double Ma–Rokhlin–Wandzura (DMRW) rules, whose sample points are located asymmetrically within triangles.
Characterization and integration of the singular test integrals in the method‐of‐moments implementation of the electric‐field integral equation / Freno, Brian A.; Johnson, William A.; Zinser, Brian F.; Wilton, Donald R.; Vipiana, Francesca; Campione, Salvatore. - In: ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. - ISSN 0955-7997. - ELETTRONICO. - 124(2021), pp. 185-193. [10.1016/j.enganabound.2020.12.015]
| Titolo: | Characterization and integration of the singular test integrals in the method‐of‐moments implementation of the electric‐field integral equation | |
| Autori: | ||
| Data di pubblicazione: | 2021 | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.enganabound.2020.12.015 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| paper.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia | |
| em_manuscript.pdf | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Embargo: 29/12/2022 Richiedi una copia |
http://hdl.handle.net/11583/2876917
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