3 papers
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.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…
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…