STRENGTHENED LINEAR SAMPLING METHOD WITH A REFERENCE BALL

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

48 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)4013-4040
Journal / PublicationSIAM Journal on Scientific Computing
Volume31
Issue number6
Online published13 Nov 2009
Publication statusPublished - 2009
Externally publishedYes

Abstract

By adding a reference ball as an extra artificial obstacle component to the underlying scattering system, we propose a simple but robust and effective technique to choose the crucial cut-off value required in the linear sampling method (LSM) for inverse scattering problems. The reference ball technique causes few extra computational costs to the LSM, but brings in a practically important byproduct, i.e., it eliminates the interior eigenvalue problem automatically, a well-known barrier when applying the LSM. Some mathematical justifications of the new technique are provided, and numerical experiments are also presented to demonstrate its feasibility and effectiveness. © 2009 Society for Industrial and Applied Mathematics.

Research Area(s)

  • cut-off value, interior eigenvalue problems, inverse scattering problems, linear sampling method

Citation Format(s)

STRENGTHENED LINEAR SAMPLING METHOD WITH A REFERENCE BALL. / LI, JINGZHI; LIU, HONGYU ; ZOU, JUN .

In: SIAM Journal on Scientific Computing, Vol. 31, No. 6, 2009, p. 4013-4040.

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