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Noting that R_{n,m} is a homogeneous polynomial of degree n,
one can compute the righthand side in (3.81) and
(3.82) analytically as follows when S_{J} is a polygon:




(3.83) 
where we have used (3.21). In (3.83) and
(3.84)
are the vertices
of S_{J} and
P^{J}_{K+1}=P^{J}_{1}. In FMBIEM with the regularised integral
equation we use (3.83) and
(3.84) for the computation of the multipole
moments in (3.67) and (3.68).
Figure 3.16:
Line integration for analytical computation of
and

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Kenichi Yoshida
20010728