Robust semi-analytical integration of singular impedance matrix elements in surface integral equation solvers

The direct evaluation method tailored to the 4-D singular integrals arising in the second-kind Fredholm surface integral equation formulations is presented. The proposed semi-analytical integration scheme extends the existing singularity cancellation methods, often used to tackle singular integrals, by utilizing a series of coordinate transformations combined with the re-ordering of the integrations. The overall algebraic manipulation results in a reduction of the dimensionality and the final 2-D kernels comprise sufficiently smooth behavior, allowing a straightforward treatment by standard quadrature rules. Numerical results demonstrate that one of the main error sources of the second-kind integral equations is undoubtedly cured.


Published in:
Proc. XXX URSI General Assembly and Scientific Symposium or International Union of Radio Science
Presented at:
XXX URSI General Assembly and Scientific Symposium of International Union of Radio Science, Istambul, Turkey, August 13-20, 2011
Year:
2011
Publisher:
Istambul
ISBN:
978-1-4244-5117-3
Laboratories:




 Record created 2011-04-05, last modified 2018-09-13


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