130 citations · 994 across the 42 of their papers we have counts for
44 papers
A fully globalized solver for discretized inverse elliptic coefficient problems with exact data
Bastian Harrach
We consider finite-dimensional nonlinear inverse problems arising from finite element discretizations of elliptic inverse coefficient problems such as the Calderón problem with fin…
A Quantum Collocation Approach to One-Dimensional Boundary Value Problems with Coherent Amplitude Amplification
Daniel Jaroszewski, Bastian Harrach
We propose a quantum collocation framework for approximating solutions of one-dimensional linear and nonlinear boundary value problems. The method formulates the search for admissi…
The monotonicity method for the inverse elastic scattering on unbounded domains
Bastian Harrach, Jianli Xiang
We discuss a time-harmonic inverse scattering problem for the Navier equation with compactly supported penetrable and possibly inhomogeneous scattering objects in an unbounded homo…
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…
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…
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…