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

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

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 includ...

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Veröffentlicht in:Inverse problems 2024-04, Vol.40 (4), p.45018
Hauptverfasser: Eberle-Blick, Sarah, Pohjola, Valter
Format: Artikel
Sprache:eng
Schlagworte:
linear elasticity
monotonicity method
shape reconstruction
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Zusammenfassung: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.
ISSN:0266-5611
1361-6420
DOI:10.1088/1361-6420/ad2901