8 papers
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…
Curve fitting on a quantum annealer for an advanced navigation method
Philipp Isserstedt, Daniel Jaroszewski, Wolfgang Mergenthaler +2
We explore the applicability of quantum annealing to the approximation task of curve fitting. To this end, we consider a function that shall approximate a given set of data points…
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…
On the required number of electrodes for uniqueness and convex reformulation in an inverse coefficient problem
Andrej Brojatsch, Bastian Harrach
We introduce a computer-assisted proof for the required number of electrodes for uniqueness and global reconstruction for the inverse Robin transmission problem, where the corrosio…