Abstract

A regularized normal derivative integral equation, originally derived by Maue, is implemented in an isoparametric element environment. A linear combination of this normal derivative integral equation and the conventional Helmholtz integral equation is used to insure a unique solution for all frequencies. The regularized normal derivative integral equation used here converges in the Cauchy principal value sense rather than only in the finite-part sense. The Cauchy principal value integral can be further transformed into an integral that converges in the normal sense. This regularized normal derivative equation may also be applied to the solution for acoustic radiation and scattering from thin structures.

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