Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects
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.
Keywords
Cite
@article{arxiv.1606.00062,
title = {Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects},
author = {Yassine Boubendir and Fatih Ecevit and Fernando Reitich},
journal= {arXiv preprint arXiv:1606.00062},
year = {2018}
}
Comments
21 pages, 6 figures