464 citations
- Graz University of TechnologyAT18 papers
- Stellenbosch UniversityZA18 papers
- Lakeside LabsAT11 papers
- TU WienAT11 papers
- Max Planck Institute for Dynamics of Complex Technical SystemsDE8 papers
- Politecnico di MilanoIT8 papers
- TU Dortmund UniversityDE8 papers
- University of ViennaAT8 papers
- Technical University of MunichDE7 papers
- Universität InnsbruckAT7 papers
- University of SalzburgAT7 papers
- University of UdineIT7 papers
21 papers · 1 filter
On the optimal choice of the illumination function in photoacoustic tomography
Phuoc-Truong Huynh, Barbara Kaltenbacher
This work studies the inverse problem of photoacoustic tomography (more precisely, the acoustic subproblem) as the identification of a space-dependent source parameter. The model c…
Towards optimal sensor placement for inverse problems in spaces of measures
Phuoc-Truong Huynh, Konstantin Pieper, Daniel Walter
The objective of this work is to quantify the reconstruction error in sparse inverse problems with measures and stochastic noise, motivated by optimal sensor placement. To be usefu…
Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance
Barbara Kaltenbacher
A key observation underlying this paper is the fact that the range invariance condition for convergence of regularization methods for nonlinear ill-posed operator equations -- such…
Discretization of parameter identification in PDEs using Neural Networks
Barbara Kaltenbacher, Tram Thi Ngoc Nguyen
We consider the ill-posed inverse problem of identifying a nonlinearity in a time-dependent PDE model. The nonlinearity is approximated by a neural network, and needs to be determi…
Determining the nonlinearity in an acoustic wave equation
Barbara Kaltenbacher, William Rundell
We consider an undetermined coefficient inverse problem for a nonlinear partial differential equation describing high intensity ultrasound propagation as widely used in medical ima…
Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation
Barbara Kaltenbacher, Anna Schlintl
In this paper we consider the inverse problem of identifying the initial data in a fractionally damped wave equation from time trace measurements on a surface, as relevant in photo…