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
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Sprache:eng
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linear elasticity
monotonicity method
shape reconstruction
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container_title Inverse problems
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creator Eberle-Blick, Sarah
Pohjola, Valter
description 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.
doi_str_mv 10.1088/1361-6420/ad2901
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subjects linear elasticity
monotonicity method
shape reconstruction
title The monotonicity method for inclusion detection and the time harmonic elastic wave equation
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