The monotonicity method for inclusion detection and the time harmonic elastic wave equation

Eberle-Blick, Sarah; Pohjola, Valter (2024-03-05)
 
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https://doi.org/10.1088/1361-6420/ad2901

Eberle-Blick, Sarah
Pohjola, Valter
IOP Publishing Ltd
05.03.2024

Eberle-Blick, S., & Pohjola, V. (2024). The monotonicity method for inclusion detection and the time harmonic elastic wave equation. Inverse Problems, 40(4), 045018. https://doi.org/10.1088/1361-6420/ad2901

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doi:https://doi.org/10.1088/1361-6420/ad2901
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https://urn.fi/URN:NBN:fi:oulu-202604292908
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Abstract

We consider the problem of reconstructing inhomogeneities in an isotropic elastic body using time harmonic waves. Here we extend the so called monotonicity method for inclusion detection and show how to determine certain types of inhomogeneities in the Lamé parameters and the density. We also included some numerical tests of the method.
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