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

2023/09/15 by Eberle-Blick, Sarah, Pohjola, Valter · 2 citations
#35J05 #35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2309.08376

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.

Cited by

• A Monotonicity-Based Regularization Approach to Shape Reconstruction for the Helmholtz Equation
• Inverse elastic obstacle scattering problems by monotonicity method

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