Adaptive Eigenspace Regularization for Inverse Scattering Problems

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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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)
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
Note:Publication type according to Uni Basel Research Database: Conference paper
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Last Modified:10 Mar 2020 08:27
Deposited On:10 Mar 2020 08:27

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