Abstract
As an extension of the methods presented in Chapter 2, this chapter takes acoustic problems as the physical background to apply the singular boundary method to the three-dimensional Helmholtz equation. Based on the Burton-Miller formulations, the Burton-Miller singular boundary method is constructed to deal with the non-uniqueness difficulties at resonance frequency. Two seta of origin intensity factors based on the subtraction and adding-back technique are derived. In addition, for efficient evaluation of near-boundary and boundary solutions of the Helmholtz equation with wideband wavenumbers, this chapter proposes a regularized singular boundary method and derives a set of near intensity factors based on the subtraction and adding-back technique.
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