8 papers
Experimental detection of inclusions for the time-harmonic elastic wave equation
Sarah Eberle-Blick, Jochen Moll
We are concerned with the reconstruction of inclusions in elastic bodies based on measurements from a laboratory experiment. In doing so, we solve the inverse problem of the time-h…
A Monotonicity-Based Regularization Approach to Shape Reconstruction for the Helmholtz Equation
Sarah Eberle-Blick, Bastian Harrach, Xianchao Wang
We consider an inverse boundary value problem for determining unknown scatterers, which is governed by the Helmholtz equation in a bounded domain. To address this, we develop a nov…
Direct reconstruction of general elastic inclusions
Sarah Eberle-Blick, Henrik Garde, Nuutti Hyvönen
The inverse problem of linear elasticity is to determine the Lamé parameters, which characterize the mechanical properties of a domain, from pairs of pressure activations and the r…
Shape reconstruction of inclusions based on noisy data via monotonicity methods for the time harmonic elastic wave equation
Sarah Eberle-Blick
In this paper, we extend our research concerning the standard and linearized monotonicity methods for the inverse problem of the time harmonic elastic wave equation and introduce t…
The linearized monotonicity method for elastic waves and the separation of material parameters
Sarah Eberle-Blick, Valter Pohjola
We derive a linearized version of the monotonicity method for shape reconstruction using time harmonic elastic waves. The linearized method provides an efficient version of the met…
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…
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…
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…