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

Yassine Boubendir, Fatih Ecevit, Fernando Reitich

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 that 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.

Original languageEnglish (US)
Pages (from-to)B1130-B1155
JournalSIAM Journal on Scientific Computing
Volume39
Issue number6
DOIs
StatePublished - 2017

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Helmholtz equation
  • High frequency
  • Integral equations
  • Kirchhoff approximations
  • Krylov subspace
  • Multiple scattering

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