Author(s)

M.A. Jaswon & S.I. Zaman

Abstract

Invited Paper A new BEM formulation of acoustic scattering problems M.A. J as won, S.I. Zaman Mathematics Department, City University, Northampton Square, London EC1 V OHB, UK ABSTRACT Kussmaul's (1969) formulation of acoustic scattering problems involves the superposition of a double-layer distribution and a simple-layer distribution on the boundary.This ensured the existence of a unique solution for all wave numbers of the incoming wave. However,the boundary integral equation involves a highly singular kernel which proves difficult to treat numerically. An alternative approach is to place the double-layer distribution on an int- erior boundary similar (similarly situated) to the given boundary.This avoids the singularity problems and enables excellent numerical results to be achie- ved.Some numerical results are presented. INTRODUCTION Problems of hard acoustic scattering may be formulated in terms of bounda- ry integral equations.Direct fo

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