Fourier--Galerkin Methods for Subwavelength Resonances

Fourier--Galerkin Methods for Subwavelength Resonances in two-dimensional Acoustic Metamaterials

arXiv:2605.23251v2 Announce Type: replace Abstract: We present a Fourier--Galerkin asymptotic framework for the analysis and computation of subwavelength resonances in two-dimensional scattering problems in finite domains. Starting from the boundary integral formulation, we apply a Fourier--Galerkin discretization to derive an explicit finite-dimensional effective matrix whose kernel characterizes the resonant frequencies. In the subwavelength regime, we obtain asymptotic expansions of this...