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A Numerical Study of Complex Reconstruction in Inverse Elastic Scattering

Part of: Equations of mathematical physics and other areas of application Miscellaneous topics - Partial differential equations Waves

Published online by Cambridge University Press:  17 May 2016

Guanghui Hu ,
Jingzhi Li ,
Hongyu Liu  and
Qi Wang
Guanghui Hu*
Affiliation:
Beijing Computational Science Research Center, Beijing 100094, P.R. China
Jingzhi Li*
Affiliation:
Beijing Computational Science Research Center, Beijing 100094, P.R. China
Hongyu Liu*
Affiliation:
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Qi Wang*
Affiliation:
Department of Computing Sciences, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, P.R. China
*
*Corresponding author., Email addresses:, hu@csrc.ac.en(G. Hu), li.jz@sustc.edu.en(J. Li), hongyu. liuip@gmail.com(H. Liu), qi.wang.xjtumath@gmail.com(Q. Wang)
*Corresponding author., Email addresses:, hu@csrc.ac.en(G. Hu), li.jz@sustc.edu.en(J. Li), hongyu. liuip@gmail.com(H. Liu), qi.wang.xjtumath@gmail.com(Q. Wang)
*Corresponding author., Email addresses:, hu@csrc.ac.en(G. Hu), li.jz@sustc.edu.en(J. Li), hongyu. liuip@gmail.com(H. Liu), qi.wang.xjtumath@gmail.com(Q. Wang)
*Corresponding author., Email addresses:, hu@csrc.ac.en(G. Hu), li.jz@sustc.edu.en(J. Li), hongyu. liuip@gmail.com(H. Liu), qi.wang.xjtumath@gmail.com(Q. Wang)
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Abstract

The purpose of this paper is to numerically realize the inverse scattering scheme proposed in [19] of reconstructing complex elastic objects by a single far-field measurement. The unknown elastic scatterers might consist of both rigid bodies and traction-free cavities with components of multiscale sizes presented simultaneously. We conduct extensive numerical experiments to show the effectiveness and efficiency of the imaging scheme proposed in [19]. Moreover, we develop a two-stage technique, which can significantly speed up the reconstruction to yield a fast imaging scheme.

Keywords

Inverse elastic scatteringcomplex scattererscavities and rigid elastic bodiessingle-shot method

MSC classification

Secondary: 74J20: Wave scattering 74J25: Inverse problems 35Q74: PDEs in connection with mechanics of deformable solids 35R30: Inverse problems
Type
Research Article
Information
Communications in Computational Physics , Volume 19 , Issue 5 , May 2016 , pp. 1265 - 1286
Copyright
Copyright © Global-Science Press 2016 

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