PRECONDITIONING METHODS FOR THIN SCATTERING STRUCTURES BASED ON ASYMPTOTIC RESULTS

Authors

Josef A. Sifuentes, The University of Texas Rio Grande Valley
Shari Moskow

Document Type

Article

Publication Date

7-2018

Abstract

We present a method to precondition the discretized Lippmann–Schwinger integral equations to model scattering of time-harmonic acoustic waves through a thin inhomogeneous scattering medium. The preconditioner is based on asymptotic results as the thickness of the third component direction goes to zero and requires solving a two dimensional formulation of the problem at the preconditioning step.

Comments

Copyright 2018 Society for Industrial and Applied Mathematics

Recommended Citation

Sifuentes, Josef A., and Shari Moskow. "Preconditioning Methods for Thin Scattering Structures Based on Asymptotic Results." SIAM Journal on Scientific Computing 40, no. 4 (2018): B1007-B1019.

Publication Title

SIAM Journal on Scientific Computing

DOI

10.1137/17M1132859