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Methods of quantitative reconstruction of shapes and refractive indices from experimental data

Larisa Beilina (Institutionen för matematiska vetenskaper, matematik) ; Nguyen Trung Thành ; Michael V. Klibanov ; John Bondestam Malmberg (Institutionen för matematiska vetenskaper, matematik)
Inverse Problems and Applications; (papers from: 3rd Annual Workshop on Inverse Problems, 2013; Stockholm; Sweden; 2 - 6 May 2013); (Proceedings in Mathematics & Statistics) (2194-1009). Vol. 120 (2015), p. 13-41.
[Konferensbidrag, refereegranskat]

In this chapter we summarize results of [5, 6, 14] and present new results of reconstruction of refractive indices and shapes of objects placed in the air from blind backscattered experimental data using two-stage numerical procedure of [4]. Data are collected using a microwave scattering facility which was built at the University of North Carolina at Charlotte.

On the first stage the approximately globally convergent method of [4] is applied to get a good first approximation for the exact solution. Results of this stage are presented in [5, 14]. On the second stage the local adaptive finite element method of [1] is applied to refine the solution obtained on the first stage. In this chapter we briefly describe methods and present new results for both stages.



Denna post skapades 2014-09-08. Senast ändrad 2016-06-27.
CPL Pubid: 202496

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur