Naslov
On the Computation of Singular Integrals over Triangular Surfaces in R3

Autori
Dodig, Hrvoje ; Cvetković, Mario ; Poljak, Dragan

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
WIT Transactions on Engineering Sciences, Boundary Elements and other Mesh Reduction Methods XLI, Volume 122 / Cheng, A.H.D. ; Syngellakis, S. - Southampton : Billerica : Wessex Institute of Technology Press, 2019, 95-105

ISBN
978-1-78466-295-0

Skup
41st international conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 41)

Mjesto i datum
Brockenhurst, Ujedinjeno Kraljevstvo; NP New Forest, Ujedinjeno Kraljevstvo, 11.09.2018. - 13.09.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Boundary Element Method ; Helmholtz Equation ; Laplace Equation ; Adaptive Quadrature ; Contour Integrals

Sažetak
Various integral equation formulations and the related numerical solutions either via Boundary Element Method (BEM) or Method of Moments (MoM) require tedious calculation of double surface integrals arising from the use of vector triangular basis functions. This paper presents an accurate technique for computation of these integrals by first converting the surface integrals to contour integrals facilitating the decomposition of boundary integral to the sum of line integrals over triangle edges. It was shown that application of this technique to a Laplace type of equations yields expressions having analytical solutions. Moreover, although the same was not possible to achieve in case of integrals involving Helmholtz kernels, nonetheless, the technique enabled the computation of surface integrals to a machine accuracy by employing the adaptive quadrature rules. This approach could be found useful in the high frequency computational dosimetry.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika

POVEZANOST RADA