Barbara Kaltenbacher | DeepAI

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∙ 03/17/2023

Nonlinearity parameter imaging in the frequency domain

Nonlinearity parameter tomography leads to the problem of identifying a ...

0 Barbara Kaltenbacher, et al. ∙

∙ 10/14/2022

On the simultanenous identification of two space dependent coefficients in a quasilinear wave equation

This paper considers the Westervelt equation, one of the most widely use...

0 Barbara Kaltenbacher, et al. ∙

∙ 09/26/2022

Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance

A key observation underlying this paper is the fact that the range invar...

0 Barbara Kaltenbacher, et al. ∙

∙ 12/28/2021

Determining kernels in linear viscoelasticity

In this work, we investigate the inverse problem of determining the kern...

0 Barbara Kaltenbacher, et al. ∙

∙ 09/04/2021

On the inverse problem of vibro-acoustography

The aim of this paper is to put the problem of vibroacoustic imaging int...

0 Barbara Kaltenbacher, et al. ∙

∙ 08/24/2021

Discretization of parameter identification in PDEs using Neural Networks

We consider the ill-posed inverse problem of identifying parameters in a...

0 Barbara Kaltenbacher, et al. ∙

∙ 07/08/2021

Determining the nonlinearity in an acoustic wave equation

We consider an undetermined coefficient inverse problem for a nonlinear ...

0 Barbara Kaltenbacher, et al. ∙

∙ 04/12/2021

Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation

In this paper we consider the inverse problem of identifying the initial...

0 Barbara Kaltenbacher, et al. ∙

∙ 03/16/2021

On an inverse problem of nonlinear imaging with fractional damping

This paper considers the attenuated Westervelt equation in pressure form...

0 Barbara Kaltenbacher, et al. ∙

∙ 02/15/2021

On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements

We consider an undetermined coefficient inverse problem for a non- linea...

0 Barbara Kaltenbacher, et al. ∙

∙ 01/17/2021

On uniqueness and reconstruction of a nonlinear diffusion term in a parabolic equation

The problem of recovering coefficients in a diffusion equation is one of...

0 Barbara Kaltenbacher, et al. ∙

∙ 01/17/2021

On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation

This paper considers the inverse problem of recovering both the unknown,...

0 Barbara Kaltenbacher, et al. ∙

∙ 01/14/2021

All-at-once formulation meets the Bayesian approach: A study of two prototypical linear inverse problems

In this work, the Bayesian approach to inverse problems is formulated in...

0 Anna Schlintl, et al. ∙

∙ 01/14/2021

Iterative regularization for constrained minimization formulations of nonlinear inverse problems

In this paper we the formulation of inverse problems as constrained mini...

0 Barbara Kaltenbacher, et al. ∙

∙ 04/27/2020

Some application examples of minimization based formulations of inverse problems and their regularization

In this paper we extend a recent idea of formulating and regularizing in...

0 Kha Van Huynh, et al. ∙

∙ 03/01/2020

The Inverse Problem of Reconstructing Reaction-Diffusion Systems

This paper considers the inverse problem of recovering state-dependent s...

0 Barbara Kaltenbacher, et al. ∙

∙ 10/07/2019

All-at-once versus reduced iterative methods for time dependent inverse problems

In this paper we investigate all-at-once versus reduced regularization o...

0 Barbara Kaltenbacher, et al. ∙

∙ 10/05/2019

Regularization of a backwards parabolic equation by fractional operators

The backwards diffusion equation is one of the classical ill-posed inver...

0 Barbara Kaltenbacher, et al. ∙

∙ 10/04/2019

The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius

In this paper we consider the iteratively regularized Gauss-Newton metho...

0 Barbara Kaltenbacher, et al. ∙

∙ 08/03/2019

The tangential cone condition for some coefficient identification model problems in parabolic PDEs

The tangential condition was introduced in [Hanke et al., 95] as a suffi...

0 Barbara Kaltenbacher, et al. ∙