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

Författare och institution:
Larisa Beilina (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); Nguyen Trung Thành (-); Michael V. Klibanov (-); John Bondestam Malmberg (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
Inverse Problems and Applications; (papers from: 3rd Annual Workshop on Inverse Problems, 2013; Stockholm; Sweden; 2 - 6 May 2013); (Proceedings in Mathematics & Statistics), 120 s. 13-41
ISBN:
978-3-319-12498-8
ISSN:
2194-1009
Antal sidor:
28 s.
Publikationstyp:
Konferensbidrag, refereegranskat
Publiceringsår:
2015
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
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.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Chalmers fundament:
Grundläggande vetenskaper
Postens nummer:
202496
Posten skapad:
2014-09-08 18:33
Posten ändrad:
2016-06-27 14:30

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