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math.NA2026
Monotonicity-based regularization of inverse medium scattering for shape reconstruction
Roland Griesmaier, Bastian Harrach, Jianli Xiang
We consider the scattering of time-harmonic plane waves by a compactly supported inhomogeneous scattering obstacle governed by the Helmholtz equation. Given far field observations…
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
A monotonicity-based globalization of the level-set method for inclusion detection
Bastian Harrach, Houcine Meftahi
We focus on a geometrical inverse problem that involves recovering discontinuities in electrical conductivity based on boundary measurements. This problem serves as a model to intr…