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math.AP2026
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…
math.AP2026
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…
math.AP2024
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…