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  4. Robust semi-analytical integration of singular impedance matrix elements in surface integral equation solvers
 
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conference paper

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

Polimeridis, A. G.  
•
Tamayo, J. M.
•
Mosig, J. R.  
2011
Proc. XXX URSI General Assembly and Scientific Symposium or International Union of Radio Science
XXX URSI General Assembly and Scientific Symposium of International Union of Radio Science

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.

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Type
conference paper
DOI
10.1109/URSIGASS.2011.6050481
Author(s)
Polimeridis, A. G.  
•
Tamayo, J. M.
•
Mosig, J. R.  
Date Issued

2011

Publisher place

Istambul

Published in
Proc. XXX URSI General Assembly and Scientific Symposium or International Union of Radio Science
ISBN of the book

978-1-4244-5117-3

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LEMA  
Event nameEvent placeEvent date
XXX URSI General Assembly and Scientific Symposium of International Union of Radio Science

Istambul, Turkey

August 13-20, 2011

Available on Infoscience
April 5, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/65947
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