Turkish Journal of Electrical Engineering and Computer Sciences
DOI
10.3906/elk-1911-57
Abstract
An adaptive algorithm for evaluation of singular and near singular integrals in 3D is presented. The algorithmis based on successive adaptive/selective subdivisions of the element until a prescribed error criteria is met. For evaluatingthe integrals in each subdivision, Gauss quadrature is applied. The method is computationally simple, memory efficientand can be applied for both triangular and quadrilateral elements, including the elements with nonplanar and/or curvedsurfaces. To assess the method, several examples are discussed. It has shown that the algorithm performs well forsingular and near-singular integral examples presented in the paper and evaluates the integrals with very high accuracy.
Keywords
Near-singular integral, triangular elements, boundary element method, 3D
First Page
1187
Last Page
1206
Recommended Citation
BAYINDIR, HAKAN; BARANOĞLU, BESİM; and YAZICI, ALİ
(2021)
"An adaptive element division algorithm for accurate evaluation of singular andnear singular integrals in 3D,"
Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 29:
No.
2, Article 45.
https://doi.org/10.3906/elk-1911-57
Available at:
https://journals.tubitak.gov.tr/elektrik/vol29/iss2/45
Included in
Computer Engineering Commons, Computer Sciences Commons, Electrical and Computer Engineering Commons
