Stable localized symmetric integral equation method for acoustic scattering problems

An energy‐based infinite boundary element integral equation method is developed for the solution of two‐ or three‐dimensional time harmonic fluid scattering problems. This method is essentially based on a domain decomposition that insures the validity for all frequencies, and uses a hypersingular operator that can be integrated readily by standard procedures for single layers. It leads to a set of sparse, symmetric discretized equations. Numerical experiments for a rigid circular cylindrical scatterer subjected to a plane incident wave confirm the stability of the new procedure, and serve to assess its accuracy for wave numbers ranging from 0 to 30, both directly on the scatterer and in the far field.

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