Logo der Universität Basel

Research Database / FORSCHUNGSDATENBANK 
PRINTDOC
 
Publication 3722597 | Verified
 

Data Entry: Please note that the research database will be replaced by UNIverse by the end of October 2023. Please enter your data into the system https://universe-intern.unibas.ch. Thanks

Login for users with Unibas email account...

Login for registered users without Unibas email account...

 
Adaptive eigenspace method for inverse scattering problems in the frequency domain
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 3722597
Author(s) Grote, Marcus J.; Kray, Marie; Nahum, Uri
Author(s) at UniBasel Nahum, Uri
Kray, Marie
Grote, Marcus J.
Year 2017
Title Adaptive eigenspace method for inverse scattering problems in the frequency domain
Journal Inverse Problems
Volume 33
Number 2
Pages / Article-Number 025006
Abstract A nonlinear optimization method is proposed for the solution of inverse scattering problems in the frequency domain, when the scattered field is governed by the Helmholtz equation. The time-harmonic inverse medium problem is formulated as a PDE-constrained optimization problem and solved by an inexact truncated Newton-type iteration. Instead of a grid-based discrete representation, the unknown wave speed is projected to a particular finite-dimensional basis of eigenfunctions, which is iteratively adapted during the optimization. Truncating the adaptive eigenspace (AE) basis at a (small and slowly increasing) finite number of eigenfunctions effectively introduces regularization into the inversion and thus avoids the need for standard Tikhonov-type regularization. Both analytical and numerical evidence underpins the accuracy of the AE representation. Numerical experiments demonstrate the efficiency and robustness to missing or noisy data of the resulting adaptive eigenspace inversion method.
Publisher Institute of Physics Publishing
ISSN/ISBN 0266-5611 ; 1361-6420
edoc-URL http://edoc.unibas.ch/53653/
Full Text on edoc No
Digital Object Identifier DOI 10.1088/1361-6420/aa5250
ISI-Number 000393773300004
Document type (ISI) Article
 
   

MCSS v5.8 PRO. 0.330 sec, queries - 0.000 sec ©Universität Basel  |  Impressum   |    
20/04/2024