21 citations · 25 across the 7 of their papers we have counts for
9 papers
Ill-posedness of time-dependent inverse problems in Lebesgue-Bochner spaces
Martin Burger, Thomas Schuster, Anne Wald
We consider time-dependent inverse problems in a mathematical setting using Lebesgue-Bochner spaces. Such problems arise when one aims to recover parameters from given observations…
Learning-based approaches for reconstructions with inexact operators in nanoCT applications
Tom Lütjen, Fabian Schönfeld, Alice Oberacker +4
Imaging problems such as the one in nanoCT require the solution of an inverse problem, where it is often taken for granted that the forward operator, i.e., the underlying physical…
On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging
Tram Thi Ngoc Nguyen, Anne Wald
The Landau-Lifshitz-Gilbert equation yields a mathematical model to describe the evolution of the magnetization of a magnetic material, particularly in response to an external appl…
A method for determining the parameters in a rheological model for viscoelastic materials by minimizing Tikhonov functionals
Rebecca Rothermel, Wladimir Panfilenko, Prateek Sharma +4
Mathematical models describing the behavior of viscoelastic materials are often based on evolution equations that measure the change in stress depending on its material parameters…
On parameter identification problems for elliptic boundary value problems in divergence form, Part I: An abstract framework
Heiko Hoffmann, Anne Wald
Parameter identification problems for partial differential equations are an important subclass of inverse problems. The parameter-to-state map, which maps the parameter of interest…
Sequential subspace optimization for recovering stored energy functions in hyperelastic materials from time-dependent data
Rebecca Klein, Thomas Schuster, Anne Wald
Monitoring structures of elastic materials for defect detection by means of ultrasound waves (Structural Health Monitoring, SHM) demands for an efficient computation of parameters…
Parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging
Barbara Kaltenbacher, Tram Thi Ngoc Nguyen, Anne Wald +1
Magnetic particle imaging (MPI) is a tracer-based technique for medical imaging where the tracer consists of ironoxide nanoparticles. The key idea is to measure the particle respon…
A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification
Anne Wald
We introduce and analyze a fast iterative method based on sequential Bregman projections for nonlinear inverse problems in Banach spaces. The key idea, in contrast to the standard…
Sequential subspace optimization for nonlinear inverse problems
Anne Wald, Thomas Schuster
In this work we discuss a method to adapt sequential subspace optimization (SESOP), which has so far been developed for linear inverse problems in Hilbert and Banach spaces, to the…