On the direct evaluation of surface integral equation impedance matrix elements involving point singularities

The direct evaluation method tailored to the 4-D singular integrals over vertex adjacent triangles, arising in the first-kind and second-kind Fredholm surface integral equation formulations, is presented. A combination of singularity cancellation, reordering of the integrations, and one analytical integration results in 3-D integrals of sufficiently smooth functions, allowing a straightforward computation by standard Gaussian rules. Numerical results demonstrate that the uncertainty about the accuracy of the impedance matrix elements associated to the interaction of vertex adjacent triangles is safely removed.


Published in:
IEEE Antennas and Wireless Propagation Letters, 10, 599-602
Year:
2011
Publisher:
Institute of Electrical and Electronics Engineers
ISSN:
1536-1225
Keywords:
Laboratories:




 Record created 2011-05-24, last modified 2018-03-17

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