- Tytuł:
- A new closed-form formula for calculating a weakly singular static potential integral with linear current source distribution on a triangle
- Autorzy:
-
Grytsko, Anna
Słobodzian, Piotr - Powiązania:
- https://bibliotekanauki.pl/articles/2204516.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
static vector potential integral
linear current source distribution
analytic integration
isoparametric transformation
integration over a triangular domain
weakly singular integral
statyczna wektorowa całka potencjalna
liniowy rozkład źródła prądu
integracja analityczna
słabo osobliwe całki
transformacja izoparametryczna
integracja w domenie trójkątnej - Opis:
- The article presents a closed-form formula for solving a weakly singular surface integral with a linear current source distribution associated with the SIE-MoM formulation used for solving electromagnetic (EM) problems. The analytical formula was obtained by transforming the surface integral over a triangular domain into a double integral, and then directly determining formulas for the inner and outer integrals. The solution obtained is marked by high computational efficiency, high accuracy, and very simple implementation. The derived formula, in contrast to the currently available formulas, consists of quantities that have a clear and simple geometric interpretation, related to the geometry of the computational domain.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 1; art. no. e143645
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł