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Adaptive Eigenspace Regularization for Inverse Scattering Problems
ConferencePaper (Artikel, die in Tagungsbänden erschienen sind)
 
ID 4528417
Author(s) Baffet, Daniel; Grote, Marcus J.; Tang, Jet Hoe
Author(s) at UniBasel Grote, Marcus J.
Baffet, Daniel Henri
Tang, Jet Hoe
Year 2019
Title Adaptive Eigenspace Regularization for Inverse Scattering Problems
Book title (Conference Proceedings) 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2019)
Place of Conference Vienna
Publisher TU Wien
Place of Publication Wien
Pages 312
ISSN/ISBN 978-3-200-06511-6
Abstract A nonlinear optimization method is proposed for inverse scattering problems in the frequency domain. The time-harmonic inverse medium problem is formulated as a PDE-constrained optimization problem and solved by an inexacttruncated Newton-type method combined with frequency stepping. Instead of a grid-based discrete representation combined with standard Tikhonov regularization, the unknown medium is projected to a small finite-dimensional subspace,which is iteratively adapted using dynamic thresh-olding. Rigorous error estimates of the adaptive eigenspace approximation are proved for an arbitrary piecewise constant medium.
edoc-URL https://edoc.unibas.ch/75318/
Full Text on edoc No
Digital Object Identifier DOI 10.34726/waves2019
 
   

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