3 papers
math.AP2023
The monotonicity method for inclusion detection and the time harmonic elastic wave equation
Sarah Eberle-Blick, Valter Pohjola
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 det…
math.NA2023
Bayesian experimental design for linear elasticity
Sarah Eberle-Blick, Nuutti Hyvönen
This work considers Bayesian experimental design for the inverse boundary value problem of linear elasticity in a two-dimensional setting. The aim is to optimize the positions of c…
math.NA2022
Resolution Guarantees for the Reconstruction of Inclusions in Linear Elasticity Based on Monotonicity Methods
Sarah Eberle, Bastian Harrach
We deal with the reconstruction of inclusions in elastic bodies based on monotonicity methods and construct conditions under which a resolution for a given partition can be achieve…