Sv. Tsinopoulos et al., 3-DIMENSIONAL BOUNDARY-ELEMENT ANALYSIS OF ELECTROMAGNETIC-WAVE SCATTERING BY PENETRABLE BODIES, Computational mechanics, 21(4-5), 1998, pp. 306-315
A frequency domain boundary element methodology of solving three dimen
sional electromagnetic wave scattering problems by dielectric particle
s is reported. The method utilizes a computationally attractive surfac
e integral equation containing only weakly and strongly singular integ
rals in the contrast to most formulations involving not only strongly
singular but hypersingular integrals as well. The main advantage of th
is integral equation is the fact that its strongly singular part is si
milar to the one appearing in the corresponding integral equation of d
ynamic elasticity. Thus, well known advanced integration techniques us
ed successfully in elastic scattering problems can be directly applied
to the present analysis. Both continuous and discontinuous quadratic
elements are employed in order to accurately treat dielectric scattere
rs with smooth and piecewise smooth boundaries. Numerical examples dea
ling with three dimensional electromagnetic wave scattering problems d
emonstrate the accuracy and efficiency of the proposed boundary elemen
t formulation.