5 citations · 7 across the 3 of their papers we have counts for
3 papers
math.AP2019★ 2 cited
Dynamic Inverse Wave Problems - Part II: Operator Identification and Applications
Thies Gerken
We present a framework which enables the analysis of dynamic inverse problems for wave phenomena that are modeled through second-order hyperbolic PDEs. This includes well-posedness…
math.AP2018
Dynamic Inverse Wave Problems - Part I: Regularity for the Direct Problem
Thies Gerken, Simon Grützner
For parameter identification problems the Fréchet-derivative of the parameter-to-state map is of particular interest. In many applications, e.g. in seismic tomography, the unknown…
math.NA2017★ 5 cited
Reconstruction of a Time-dependent Potential from Wave Measurements
Thies Gerken, Armin Lechleiter
We add a time-dependent potential to the inhomogeneous wave equation and consider the task of reconstructing this potential from measurements of the wave field. This dynamic invers…