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A new method for the numerical calculation of Cauchy principal value integrals in BEM applied to electromagnetics

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4 Author(s)
C. J. Huber ; Inst. for Theory in Electr. Eng., Stuttgart Univ., Germany ; W. M. Rucker ; R. Hoschek ; K. R. Richter

A new method for the evaluation of singular boundary element integrals over three-dimensional isoparametric boundary elements of higher order is presented. This new procedure represents a Gaussian quadrature technique using polar coordinates for the calculation of the Gaussian points and the weighting coefficients. This method permits an efficient integration of singular kernels of order O(1/r) on curved surfaces. For a numerical example the proposed integration scheme is compared with other methods (subdivision technique, double exponential formula method, modified Gauss-quadrature) showing high efficiency and accuracy. The actual computation can be easily included in any existing computer code

Published in:

IEEE Transactions on Magnetics  (Volume:33 ,  Issue: 2 )