High frequency integral equation methodologies display the capability ofreproducing single-scattering returns in frequency-independent computationaltimes and employ a Neumann series formulation to handle multiple-scatteringeffects. This requires the solution of an enormously large number ofsingle-scattering problems to attain a reasonable numerical accuracy ingeometrically challenging configurations. Here we propose a novel and effectiveKrylov subspace method suitable for the use of high frequency integral equationtechniques and significantly accelerates the convergence of Neumann series. Weadditionally complement this strategy utilizing a preconditioner based uponKirchhoff approximations that provides a further reduction in the overallcomputational cost.
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