Baffet, Daniel and Grote, Marcus J. and Tang, Jet Hoe. (2019) Adaptive Eigenspace Regularization for Inverse Scattering Problems. In: 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2019). Wien, p. 312.
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Official URL: https://edoc.unibas.ch/75318/
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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.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote) |
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| UniBasel Contributors: | Grote, Marcus J. and Baffet, Daniel Henri and Tang, Jet Hoe |
| Item Type: | Conference or Workshop Item, refereed |
| Conference or workshop item Subtype: | Conference Paper |
| Publisher: | TU Wien |
| ISBN: | 978-3-200-06511-6 |
| Note: | Publication type according to Uni Basel Research Database: Conference paper |
| Identification Number: |
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| Last Modified: | 10 Mar 2020 08:27 |
| Deposited On: | 10 Mar 2020 08:27 |
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