Fast and accurate computation of hyper-singular integrals in Galerkin surface integral equation formulations via the direct evaluation method

Hypersingular 4-D integrals, arising in the Galerkin discretization of surface integral equation formulations, are computed by means of the direct evaluation method. The proposed scheme extends the basic idea of the singularity cancellation methods, usually employed for the regularization of the singular integral kernel, by utilizing a series of coordinate transformations combined with a reordering of the integrations. The overall algebraic manipulation results in smooth 2-D integrals that can be easily evaluated via standard quadrature rules. Finally, the reduction of the dimensionality of the original integrals together with the smooth behavior of the associated integrands lead up to unmatched accuracy and efficiency.


Published in:
IEEE Transactions on Antennas and Propagation, 59, 6, 2329-2340
Year:
2011
Publisher:
Institute of Electrical and Electronics Engineers
ISSN:
0018-926X
Keywords:
Laboratories:




 Record created 2010-01-20, last modified 2018-03-17

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