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20192023
most citedOn numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging

3 citations · 4 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.NA2023

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…

math.NA20213 cited

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…

math.NA2021

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…

math.NA20201 cited

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…

math.NA2019

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…