Abstract

Recently, a new type of numerical technique called the Variational Theory of Complex Rays (VTCR) was proposed for the efficient solution of the acoustic Helmholtz equation in the medium frequency regime. However this method was fully developed only for bounded domains. In this paper, the VTCR is extended to exterior Helmholtz problems in order to expand its scope to practical acoustic scattering problems. Results for two-dimensional problems with short wavelengths and a comparison with standard reference methods show that this numerical strategy can be of great interest for these types of problems.

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