Abstract
Various more or less classical layer potential representations of the diffracted acoustic field within an enclosure or external to an obstacle are discussed. It is shown that it is always possible to find such a representation which yields to an integral equation equivalent to the partial derivative boundary value problem: that is, the conditions of existence and uniqueness of the solution are the same in both formulations. Several numerical experiments are reported, which show that simple and reasonably inexpensive techniques provide predictions of the acoustic field, or of the eigenfrequencies, with an accuracy sufficient for acoustical engineering purposes.
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