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ORCIDBarbara Kaltenbacher
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- affiliation: University of Klagenfurt, Austria
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2020 – today
- 2025
[i29]Barbara Kaltenbacher:
Acoustic nonlinearity parameter tomography with the Jordan-Moore-Gibson-Thompson equation in frequency domain. CoRR abs/2502.05810 (2025)- [i28]Barbara Kaltenbacher:
Forward and Inverse Problems in Nonlinear Acoustics. CoRR abs/2502.08194 (2025) - [i27]Barbara Kaltenbacher, William Rundell:
Reconstruction of space-dependence and nonlinearity of a reaction term in a subdiffusion equation. CoRR abs/2502.21243 (2025) - 2024
- [j25]Barbara Kaltenbacher
, Teresa Rauscher:
Simultaneous Reconstruction of Speed of Sound and Nonlinearity Parameter in a Paraxial Model of Vibro-Acoustography in Frequency Domain. Comput. Methods Appl. Math. 24(2): 421-438 (2024) - [i26]Barbara Kaltenbacher:
Convergence rates under a range invariance condition with application to electrical impedance tomography. CoRR abs/2403.18704 (2024) - [i25]Phuoc-Truong Huynh, Barbara Kaltenbacher:
On the optimal choice of the illumination function in photoacoustic tomography. CoRR abs/2411.06609 (2024) - 2023
- [i24]Barbara Kaltenbacher, William Rundell:
Nonlinearity parameter imaging in the frequency domain. CoRR abs/2303.09796 (2023) - [i23]Barbara Kaltenbacher, Teresa Rauscher:
Simultaneous reconstruction of sound speed and nonlinearity parameter in a paraxial model of vibro-acoustography in frequency domain. CoRR abs/2303.17236 (2023) - [i22]Michael Kartmann, Tim Keil, Mario Ohlberger, Stefan Volkwein, Barbara Kaltenbacher:
Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems. CoRR abs/2309.07627 (2023) - [i21]Barbara Kaltenbacher, William Rundell:
Regularising the Cauchy problem for Laplace's equation by fractional operators. CoRR abs/2309.13617 (2023) - 2022
- [j24]Barbara Kaltenbacher, Kha Van Huynh:
Iterative regularization for constrained minimization formulations of nonlinear inverse problems. Comput. Optim. Appl. 81(2): 569-611 (2022) - [j23]Barbara Kaltenbacher, Anna Schlintl:
Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation. J. Comput. Phys. 449: 110789 (2022) - [j22]Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolic, Mabel L. Rajendran, Barbara I. Wohlmuth:
Determining kernels in linear viscoelasticity. J. Comput. Phys. 464: 111331 (2022) - [j21]Barbara Kaltenbacher, William Rundell:
On an inverse problem of nonlinear imaging with fractional damping. Math. Comput. 91(333): 245-276 (2022) - [j20]Barbara Kaltenbacher, Vanja Nikolic:
Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics. SIAM J. Math. Anal. 54(2): 1593-1622 (2022) - [i20]Barbara Kaltenbacher:
Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance. CoRR abs/2209.12596 (2022) - [i19]Barbara Kaltenbacher, William Rundell:
On the simultanenous identification of two space dependent coefficients in a quasilinear wave equation. CoRR abs/2210.08063 (2022) - 2021
- [j19]Barbara Kaltenbacher, Vanja Nikolic:
The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations. SIAM J. Appl. Math. 81(4): 1461-1482 (2021) - [i18]Barbara Kaltenbacher, Kha Van Huynh:
Iterative regularization for constrained minimization formulations of nonlinear inverse problems. CoRR abs/2101.05482 (2021) - [i17]Anna Schlintl, Barbara Kaltenbacher:
All-at-once formulation meets the Bayesian approach: A study of two prototypical linear inverse problems. CoRR abs/2101.05577 (2021) - [i16]Barbara Kaltenbacher, William Rundell:
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. CoRR abs/2101.06656 (2021) - [i15]Barbara Kaltenbacher, William Rundell:
On uniqueness and reconstruction of a nonlinear diffusion term in a parabolic equation. CoRR abs/2101.06696 (2021) - [i14]Barbara Kaltenbacher, William Rundell:
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. CoRR abs/2102.07608 (2021) - [i13]Barbara Kaltenbacher, William Rundell:
On an inverse problem of nonlinear imaging with fractional damping. CoRR abs/2103.08965 (2021) - [i12]Barbara Kaltenbacher, Anna Schlintl:
Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation. CoRR abs/2104.05577 (2021) - [i11]Barbara Kaltenbacher, William Rundell:
Determining the nonlinearity in an acoustic wave equation. CoRR abs/2107.04058 (2021) - [i10]Barbara Kaltenbacher, Tram Thi Ngoc Nguyen:
Discretization of parameter identification in PDEs using Neural Networks. CoRR abs/2108.10618 (2021) - [i9]Barbara Kaltenbacher:
On the inverse problem of vibro-acoustography. CoRR abs/2109.01907 (2021) - [i8]Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolic, Rajendran Mabel Lizzy, Barbara I. Wohlmuth:
Determining kernels in linear viscoelasticity. CoRR abs/2112.14071 (2021) - 2020
- [i7]Barbara Kaltenbacher, William Rundell:
The Inverse Problem of Reconstructing Reaction-Diffusion Systems. CoRR abs/2003.00489 (2020) - [i6]Kha Van Huynh, Barbara Kaltenbacher:
Some application examples of minimization based formulations of inverse problems and their regularization. CoRR abs/2004.12965 (2020) - [i5]Johann Baumeister, Barbara Kaltenbacher, Antonio Leitão:
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. CoRR abs/2011.09674 (2020)
2010 – 2019
- 2019
- [i4]Barbara Kaltenbacher, Tram Thi Ngoc Nguyen, Otmar Scherzer:
The tangential cone condition for some coefficient identification model problems in parabolic PDEs. CoRR abs/1908.01239 (2019) - [i3]Barbara Kaltenbacher, Andrej Klassen, Mario Luiz Previatti de Souza:
The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius. CoRR abs/1910.01811 (2019) - [i2]Barbara Kaltenbacher, William Rundell:
Regularization of a backwards parabolic equation by fractional operators. CoRR abs/1910.02232 (2019) - [i1]Barbara Kaltenbacher:
All-at-once versus reduced iterative methods for time dependent inverse problems. CoRR abs/1910.02857 (2019) - 2018
- [j18]Michael Hinze, Barbara Kaltenbacher, Tran Nhan Tam Quyen:
Identifying conductivity in electrical impedance tomography with total variation regularization. Numerische Mathematik 138(3): 723-765 (2018) - [j17]Barbara Kaltenbacher, Mario Luiz Previatti de Souza:
Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space. Numerische Mathematik 140(2): 449-478 (2018) - [j16]Barbara Kaltenbacher:
Minimization Based Formulations of Inverse Problems and Their Regularization. SIAM J. Optim. 28(1): 620-645 (2018) - 2017
- [j15]Barbara Kaltenbacher:
Well-posedness of a general higher order model in nonlinear acoustics. Appl. Math. Lett. 63: 21-27 (2017) - [j14]Fabian Fröhlich, Barbara Kaltenbacher, Fabian J. Theis, Jan Hasenauer:
Scalable Parameter Estimation for Genome-Scale Biochemical Reaction Networks. PLoS Comput. Biol. 13(1) (2017) - 2016
- [j13]Barbara Kaltenbacher:
Regularization Based on All-At-Once Formulations for Inverse Problems. SIAM J. Numer. Anal. 54(4): 2594-2618 (2016) - 2015
- [j12]Igor Shevchenko, Barbara Kaltenbacher:
Absorbing boundary conditions for nonlinear acoustics: The Westervelt equation. J. Comput. Phys. 302: 200-221 (2015) - [j11]Barbara Kaltenbacher:
An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems. Numerische Mathematik 131(1): 33-57 (2015) - [r1]Martin Burger, Barbara Kaltenbacher, Andreas Neubauer:
Iterative Solution Methods. Handbook of Mathematical Methods in Imaging 2015: 431-470 - 2014
- [e1]Christian Pötzsche, Clemens Heuberger, Barbara Kaltenbacher, Franz Rendl:
System Modeling and Optimization - 26th IFIP TC 7 Conference, CSMO 2013, Klagenfurt, Austria, September 9-13, 2013, Revised Selected Papers. IFIP Advances in Information and Communication Technology 443, Springer 2014, ISBN 978-3-662-45503-6 [contents] - 2013
- [j10]Barbara Kaltenbacher, Manfred Kaltenbacher, Imbo Sim:
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. 235: 407-422 (2013) - [j9]Christian Clason, Barbara Kaltenbacher:
On the use of state constraints in optimal control of singular PDEs. Syst. Control. Lett. 62(1): 48-54 (2013) - 2012
- [b2]Thomas Schuster, Barbara Kaltenbacher, Bernd Hofmann, Kamil S. Kazimierski:
Regularization Methods in Banach Spaces. Radon Series on Computational and Applied Mathematics 10, de Gruyter 2012, ISBN 978-3-11-025524-9, pp. I-XI, 1-283 - [j8]Barbara Kaltenbacher, Jonas Offtermatt:
A convergence analysis of regularization by discretization in preimage space. Math. Comput. 81(280): 2049-2069 (2012) - 2011
- [c2]Barbara Kaltenbacher:
Convergence Rates for the Iteratively Regularized Landweber Iteration in Banach Space. System Modelling and Optimization 2011: 38-48
2000 – 2009
- 2008
- [b1]Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer:
Iterative Regularization Methods for Nonlinear Ill-Posed Problems. Radon Series on Computational and Applied Mathematics 6, de Gruyter 2008, ISBN 978-3-11-020420-9, pp. I-VIII, 1-194 - [j7]Barbara Kaltenbacher, Michael V. Klibanov:
An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics. SIAM J. Math. Anal. 39(6): 1863-1889 (2008) - 2007
- [j6]Barbara Kaltenbacher:
Regularization by truncated Cholesky factorization: A comparison of four different approaches. J. Complex. 23(2): 225-244 (2007) - 2006
- [j5]Martin Burger, Barbara Kaltenbacher:
Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems. SIAM J. Numer. Anal. 44(1): 153-182 (2006) - 2003
- [j4]Barbara Kaltenbacher:
V-cycle convergence of some multigrid methods for ill-posed problems. Math. Comput. 72(244): 1711-1730 (2003) - 2002
- [j3]Barbara Kaltenbacher, Joachim Schöberl:
A saddle point variational formulation for projection-regularized parameter identification. Numerische Mathematik 91(4): 675-697 (2002) - [j2]Barbara Kaltenbacher, Josef Schicho:
A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems. Numerische Mathematik 93(1): 77-107 (2002) - 2001
- [c1]Gábor Bodnár, Barbara Kaltenbacher, Petru Pau, Josef Schicho:
Exact Real Computation in Computer Algebra. SNSC 2001: 279-292 - 2000
- [j1]Barbara Kaltenbacher:
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. 37(6): 1885-1908 (2000)
Coauthor Index
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