Fourier-Galerkin method for scattering poles of sound soft obstacles

Document Type

Article

Publication Date

12-15-2026

Abstract

The computation of scattering poles for a sound-soft obstacle is investigated. These poles correspond to the eigenvalues of two Fredholm boundary integral operators in the lower half complex plane. The Fourier-Galerkin method is proposed for discretization. By establishing the regular convergence of the discrete operators, error estimates are obtained using the abstract approximation theory for eigenvalue problems of holomorphic Fredholm operator functions. We give the detail of the numerical implementation. Examples are presented to validate the theory and demonstrate the effectiveness of the proposed method.

Publication Title

Journal of Computational Physics

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