Barbara Kaltenbacher

Orcid: 0000-0002-3295-6977

Affiliations:
  • University of Klagenfurt, Austria


According to our database1, Barbara Kaltenbacher authored at least 52 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Simultaneous Reconstruction of Speed of Sound and Nonlinearity Parameter in a Paraxial Model of Vibro-Acoustography in Frequency Domain.
Comput. Methods Appl. Math., April, 2024

Convergence rates under a range invariance condition with application to electrical impedance tomography.
CoRR, 2024

2023
Regularising the Cauchy problem for Laplace's equation by fractional operators.
CoRR, 2023

Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems.
CoRR, 2023

Simultaneous reconstruction of sound speed and nonlinearity parameter in a paraxial model of vibro-acoustography in frequency domain.
CoRR, 2023

Nonlinearity parameter imaging in the frequency domain.
CoRR, 2023

2022
Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics.
SIAM J. Math. Anal., 2022

On an inverse problem of nonlinear imaging with fractional damping.
Math. Comput., 2022

Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation.
J. Comput. Phys., 2022

Determining kernels in linear viscoelasticity.
J. Comput. Phys., 2022

On the simultanenous identification of two space dependent coefficients in a quasilinear wave equation.
CoRR, 2022

Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance.
CoRR, 2022

Iterative regularization for constrained minimization formulations of nonlinear inverse problems.
Comput. Optim. Appl., 2022

2021
The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations.
SIAM J. Appl. Math., 2021

Determining kernels in linear viscoelasticity.
CoRR, 2021

On the inverse problem of vibro-acoustography.
CoRR, 2021

Discretization of parameter identification in PDEs using Neural Networks.
CoRR, 2021

Determining the nonlinearity in an acoustic wave equation.
CoRR, 2021

On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements.
CoRR, 2021

On uniqueness and reconstruction of a nonlinear diffusion term in a parabolic equation.
CoRR, 2021

On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation.
CoRR, 2021

All-at-once formulation meets the Bayesian approach: A study of two prototypical linear inverse problems.
CoRR, 2021

2020
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations.
CoRR, 2020

Some application examples of minimization based formulations of inverse problems and their regularization.
CoRR, 2020

The Inverse Problem of Reconstructing Reaction-Diffusion Systems.
CoRR, 2020

2019
All-at-once versus reduced iterative methods for time dependent inverse problems.
CoRR, 2019

Regularization of a backwards parabolic equation by fractional operators.
CoRR, 2019

The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius.
CoRR, 2019

The tangential cone condition for some coefficient identification model problems in parabolic PDEs.
CoRR, 2019

2018
Minimization Based Formulations of Inverse Problems and Their Regularization.
SIAM J. Optim., 2018

Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space.
Numerische Mathematik, 2018

Identifying conductivity in electrical impedance tomography with total variation regularization.
Numerische Mathematik, 2018

2017
Scalable Parameter Estimation for Genome-Scale Biochemical Reaction Networks.
PLoS Comput. Biol., 2017

Well-posedness of a general higher order model in nonlinear acoustics.
Appl. Math. Lett., 2017

2016
Regularization Based on All-At-Once Formulations for Inverse Problems.
SIAM J. Numer. Anal., 2016

2015
Iterative Solution Methods.
Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems.
Numerische Mathematik, 2015

Absorbing boundary conditions for nonlinear acoustics: The Westervelt equation.
J. Comput. Phys., 2015

2013
On the use of state constraints in optimal control of singular PDEs.
Syst. Control. Lett., 2013

A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with an application to aeroacoustics.
J. Comput. Phys., 2013

2012
A convergence analysis of regularization by discretization in preimage space.
Math. Comput., 2012

Regularization Methods in Banach Spaces.
Radon Series on Computational and Applied Mathematics 10, de Gruyter, ISBN: 978-3-11-025524-9, 2012

2011
Convergence Rates for the Iteratively Regularized Landweber Iteration in Banach Space.
Proceedings of the System Modeling and Optimization, 2011

2008
An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics.
SIAM J. Math. Anal., 2008

Iterative Regularization Methods for Nonlinear Ill-Posed Problems.
Radon Series on Computational and Applied Mathematics 6, de Gruyter, ISBN: 978-3-11-020420-9, 2008

2007
Regularization by truncated Cholesky factorization: A comparison of four different approaches.
J. Complex., 2007

2006
Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems.
SIAM J. Numer. Anal., 2006

2003
V-cycle convergence of some multigrid methods for ill-posed problems.
Math. Comput., 2003

2002
A saddle point variational formulation for projection-regularized parameter identification.
Numerische Mathematik, 2002

A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems.
Numerische Mathematik, 2002

2001
Exact Real Computation in Computer Algebra.
Proceedings of the Symbolic and Numerical Scientific Computation, 2001

2000
A Projection-Regularized Newton Method for Nonlinear Ill-Posed Problems and Its Application to Parameter Identification Problems with Finite Element Discretization.
SIAM J. Numer. Anal., 2000


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