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math.NA2025
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…
math.AP2025
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…
math.NA2025
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…