Barbara Kaltenbacher

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 38

Top Topics

Frequency Domain

Regularization Methods

Inverse Problems

Top Venues

J. Comput. Phys.

Numerische Mathematik

Publications

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) (2024)
Barbara Kaltenbacher
Convergence rates under a range invariance condition with application to electrical impedance tomography. CoRR (2024)
Michael Kartmann, Tim Keil, Mario Ohlberger, Stefan Volkwein, Barbara Kaltenbacher
Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems. CoRR (2023)
Barbara Kaltenbacher, Teresa Rauscher
Simultaneous reconstruction of sound speed and nonlinearity parameter in a paraxial model of vibro-acoustography in frequency domain. CoRR (2023)
Barbara Kaltenbacher, William Rundell
Regularising the Cauchy problem for Laplace's equation by fractional operators. CoRR (2023)
Barbara Kaltenbacher, William Rundell
Nonlinearity parameter imaging in the frequency domain. CoRR (2023)
Barbara Kaltenbacher, William Rundell
On the simultanenous identification of two space dependent coefficients in a quasilinear wave equation. CoRR (2022)
Barbara Kaltenbacher, William Rundell
On an inverse problem of nonlinear imaging with fractional damping. Math. Comput. 91 (333) (2022)
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 (2022)
Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolic, Mabel L. Rajendran, Barbara I. Wohlmuth
Determining kernels in linear viscoelasticity. J. Comput. Phys. 464 (2022)
Barbara Kaltenbacher, Kha Van Huynh
Iterative regularization for constrained minimization formulations of nonlinear inverse problems. Comput. Optim. Appl. 81 (2) (2022)
Barbara Kaltenbacher, Vanja Nikolic
Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics. SIAM J. Math. Anal. 54 (2) (2022)
Barbara Kaltenbacher
Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance. CoRR (2022)
Anna Schlintl, Barbara Kaltenbacher
All-at-once formulation meets the Bayesian approach: A study of two prototypical linear inverse problems. CoRR (2021)
Barbara Kaltenbacher, William Rundell
On an inverse problem of nonlinear imaging with fractional damping. CoRR (2021)
Barbara Kaltenbacher, Vanja Nikolic
The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations. SIAM J. Appl. Math. 81 (4) (2021)
Barbara Kaltenbacher, Tram Thi Ngoc Nguyen
Discretization of parameter identification in PDEs using Neural Networks. CoRR (2021)
Barbara Kaltenbacher, Kha Van Huynh
Iterative regularization for constrained minimization formulations of nonlinear inverse problems. CoRR (2021)
Barbara Kaltenbacher, William Rundell
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. CoRR (2021)
Barbara Kaltenbacher, William Rundell
Determining the nonlinearity in an acoustic wave equation. CoRR (2021)
Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolic, Rajendran Mabel Lizzy, Barbara I. Wohlmuth
Determining kernels in linear viscoelasticity. CoRR (2021)
Barbara Kaltenbacher, William Rundell
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. CoRR (2021)
Barbara Kaltenbacher, Anna Schlintl
Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation. CoRR (2021)
Barbara Kaltenbacher, William Rundell
On uniqueness and reconstruction of a nonlinear diffusion term in a parabolic equation. CoRR (2021)
Barbara Kaltenbacher
On the inverse problem of vibro-acoustography. CoRR (2021)
Barbara Kaltenbacher, William Rundell
The Inverse Problem of Reconstructing Reaction-Diffusion Systems. CoRR (2020)
J. Baumeister, Barbara Kaltenbacher, Antonio Leitão
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. CoRR (2020)
Kha Van Huynh, Barbara Kaltenbacher
Some application examples of minimization based formulations of inverse problems and their regularization. CoRR (2020)
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 (2019)
Barbara Kaltenbacher, Tram Thi Ngoc Nguyen, Otmar Scherzer
The tangential cone condition for some coefficient identification model problems in parabolic PDEs. CoRR (2019)
Barbara Kaltenbacher
All-at-once versus reduced iterative methods for time dependent inverse problems. CoRR (2019)
Barbara Kaltenbacher, William Rundell
Regularization of a backwards parabolic equation by fractional operators. CoRR (2019)
Barbara Kaltenbacher
Minimization Based Formulations of Inverse Problems and Their Regularization. SIAM J. Optim. 28 (1) (2018)
Michael Hinze, Barbara Kaltenbacher, Tran Nhan Tam Quyen
Identifying conductivity in electrical impedance tomography with total variation regularization. Numerische Mathematik 138 (3) (2018)
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) (2018)
Barbara Kaltenbacher
Well-posedness of a general higher order model in nonlinear acoustics. Appl. Math. Lett. 63 (2017)
Fabian Fröhlich, Barbara Kaltenbacher, Fabian J. Theis, Jan Hasenauer
Scalable Parameter Estimation for Genome-Scale Biochemical Reaction Networks. PLoS Comput. Biol. 13 (1) (2017)
Barbara Kaltenbacher
Regularization Based on All-At-Once Formulations for Inverse Problems. SIAM J. Numer. Anal. 54 (4) (2016)
Barbara Kaltenbacher
An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems. Numerische Mathematik 131 (1) (2015)
Igor Shevchenko, Barbara Kaltenbacher
Absorbing boundary conditions for nonlinear acoustics: The Westervelt equation. J. Comput. Phys. 302 (2015)
Christian Clason, Barbara Kaltenbacher
On the use of state constraints in optimal control of singular PDEs. Syst. Control. Lett. 62 (1) (2013)
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 (2013)
Barbara Kaltenbacher, Jonas Offtermatt
A convergence analysis of regularization by discretization in preimage space. Math. Comput. 81 (280) (2012)
Barbara Kaltenbacher
Convergence Rates for the Iteratively Regularized Landweber Iteration in Banach Space. System Modelling and Optimization (2011)
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) (2008)
Barbara Kaltenbacher
Regularization by truncated Cholesky factorization: A comparison of four different approaches. J. Complex. 23 (2) (2007)
Martin Burger, Barbara Kaltenbacher
Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems. SIAM J. Numer. Anal. 44 (1) (2006)
Barbara Kaltenbacher
V-cycle convergence of some multigrid methods for ill-posed problems. Math. Comput. 72 (244) (2003)
Barbara Kaltenbacher, Joachim Schöberl
A saddle point variational formulation for projection-regularized parameter identification. Numerische Mathematik 91 (4) (2002)
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) (2002)
Gábor Bodnár, Barbara Kaltenbacher, Petru Pau, Josef Schicho
Exact Real Computation in Computer Algebra. SNSC (2001)
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) (2000)