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

Document Type

Article

Publication Date

1-1-2017

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.

Identifier

85040005046 (Scopus)

Publication Title

SIAM Journal on Scientific Computing

External Full Text Location

https://doi.org/10.1137/16M1080501

e-ISSN

10957197

ISSN

10648275

First Page

B1130

Last Page

B1155

Issue

6

Volume

39

Grant

DMS-1720014

Fund Ref

National Science Foundation

This document is currently not available here.

Share

COinS