English

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

Analysis of PDEs 2023-09-18 v1 Numerical Analysis Numerical Analysis

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 Lam\'e parameters and the density. We also included some numerical tests of the method.

Keywords

Cite

@article{arxiv.2309.08376,
  title  = {The monotonicity method for inclusion detection and the time harmonic elastic wave equation},
  author = {Sarah Eberle-Blick and Valter Pohjola},
  journal= {arXiv preprint arXiv:2309.08376},
  year   = {2023}
}
R2 v1 2026-06-28T12:22:35.547Z