Adaptive eigenspace method for inverse scattering problems in the frequency domain

Grote, Marcus J. and Kray, Marie and Nahum, Uri. (2017) Adaptive eigenspace method for inverse scattering problems in the frequency domain. Inverse Problems, 33 (2). 025006.

Full text not available from this repository.

Official URL: http://edoc.unibas.ch/53653/

Downloads: Statistics Overview


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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote)
UniBasel Contributors:Nahum, Uri and Kray, Marie and Grote, Marcus J.
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Institute of Physics Publishing
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:16 Oct 2017 06:45
Deposited On:16 Oct 2017 06:45

Repository Staff Only: item control page