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arXiv · 1606.00062

Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects

Yassine Boubendir·Fatih Ecevit·Fernando Reitich
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Abstract

High frequency integral equation methodologies display the capability of reproducing single-scattering returns in frequency-independent computational times and employ a Neumann series formulation to handle multiple-scattering effects. This requires the solution of an enormously large number of single-scattering problems to attain a reasonable numerical accuracy in geometrically challenging configurations. Here we propose a novel and effective Krylov subspace method suitable for the use of high frequency integral equation techniques and significantly accelerates the convergence of Neumann series. We additionally complement this strategy utilizing a preconditioner based upon Kirchhoff approximations that provides a further reduction in the overall computational cost.

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Yassine Boubendir, Fatih Ecevit, Fernando Reitich. 2016-05-31. Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects. https://doi.org/10.1137/16m1080501

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