Sk. Wong, COMPUTATION OF THE DIAGONAL MATRIX-ELEMENTS OF THE DISCRETIZED HELMHOLTZ INTEGRAL-EQUATION, The Journal of the Acoustical Society of America, 100(3), 1996, pp. 1887-1889
Analytic formulas are given for the diagonal matrix elements (sometime
s called the ''self-terms'') which arise in discretizing the Helmholtz
integral equation for acoustic radiation and scattering off an arbitr
ary surface. In terms of the coefficients of the first and second fund
amental forms of the surface, the formulas are valid to leading order
in the smallness of the surface element with respect to the characteri
stic dimension of the surface and the acoustic wavelength. (C) 1996 Ac
oustical Society of America.