MULTILEVEL LINEAR SAMPLING METHOD FOR INVERSE SCATTERING PROBLEMS

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

37 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)1228-1250
Journal / PublicationSIAM Journal on Scientific Computing
Volume30
Issue number3
Online published21 Mar 2008
Publication statusPublished - 2008
Externally publishedYes

Abstract

A novel multilevel algorithm is presented for implementing the widely used linear sampling method in inverse obstacle scattering problems. The new method is shown to possess asymptotically optimal computational complexity. For an n × n sampling mesh in ℝ2 or an n × n × n sampling mesh in  ℝ3, the proposed algorithm requires one to solve only O(nN-1) far-field equations for a ℝN problem (N=2,3), and this is in sharp contrast to the original version of the method which needs to solve nN. far-field equations. Numerical experiments are presented to illustrate the promising feature of the algorithm in significantly reducing the computational cost of the linear sampling method. © 2008 Society for Industrial and Applied Mathematics.

Research Area(s)

  • inverse scattering problems, multilevel linear sampling method, optimal computational complexity