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Evaluation of Hypersingular Integrals on Curvilinear Surface Elements
Date
2016-04-15
Author
Selcuk, Gokhun
Koç, Seyit Sencer
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In this study finite part integrals are utilized for evaluation of hypersingular and nearly-hypersingular surface integrals on curvilinear elements. These integrals are related to the second derivative of the free space Green' function and arise in the solution of electric field integral equation (EFIE) via locally corrected Nystriim (LCN) method. The curvilinear elements are represented by the Taylor series expansion of the surface function around the observation point. The hypersingular integral, defined on a curvilinear element, is written as a summation of hypersingular and weakly singular integrals which are defined on a flat surface. Numerical studies show that increased accuracy is obtained for hypersingular integrals on curvilinear elements.
Subject Keywords
EFIE
,
Hypersingular Integral
,
Nystriim Method
,
Scattering
URI
https://hdl.handle.net/11511/55583
Conference Name
10th European Conference on Antennas and Propagation (EuCAP)
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar
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G. Selcuk and S. S. Koç, “Evaluation of Hypersingular Integrals on Curvilinear Surface Elements,” presented at the 10th European Conference on Antennas and Propagation (EuCAP), Davos, SWITZERLAND, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55583.
