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Barbara Kaltenbacher

Barbara Kaltenbacher

D-Index & Metrics

Mathematics

D-Index
31
Citations
5221
World Ranking
3302
National Ranking
42

Overview

Barbara Kaltenbacher is affiliated with the University of Klagenfurt in Austria. Their research primarily spans the fields of mathematics and engineering, with a particular focus on mathematical physics and related subfields.

Their recent scholarly papers include:

  • Time-fractional Moore-Gibson-Thompson equations, 2022, published in Mathematical Models and Methods in Applied Sciences
  • Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics, 2022, published in SIAM Journal on Mathematical Analysis
  • Some inverse problems for wave equations with fractional derivative attenuation, 2021, published in Inverse Problems
  • Determining kernels in linear viscoelasticity, 2022, published in Journal of Computational Physics
  • Periodic solutions and multiharmonic expansions for the Westervelt equation, 2020, published in Evolution equations and control theory

Their work has appeared frequently in several academic venues, including:

  • arXiv (Cornell University)
  • Inverse Problems
  • Inverse Problems and Imaging
  • Journal of Mathematical Analysis and Applications
  • Mathematical Models and Methods in Applied Sciences

Barbara Kaltenbacher has also contributed to book publications, notably a book titled Inverse Problems for Fractional Partial Differential Equations, published in 2023 by the American Mathematical Society.

Their research covers a range of topics and specialties such as:

  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering
  • Stability and Controllability of Differential Equations
  • Fractional Differential Equations Solutions
  • Thermoelastic and Magnetoelastic Phenomena
  • Advanced Mathematical Physics Problems
  • Photoacoustic and Ultrasonic Imaging

Some of the key subfields studied by this researcher include:

  • Mathematical Physics
  • Mechanics of Materials
  • Biomedical Engineering
  • Computational Theory and Mathematics
  • Control and Systems Engineering

Barbara Kaltenbacher collaborates frequently with other researchers. Among their most frequent co-authors are:

  • William Rundell
  • Vanja Nikolić
  • Mostafa Meliani
  • Kha Van Huynh
  • Anna Schlintl

Best Publications

  • Iterative regularization methods for nonlinear ill-posed problems

    Barbara Kaltenbacher;Andreas Neubauer;Otmar Scherzer

  • Regularization Methods in Banach Spaces

    Thomas Schuster;Barbara Kaltenbacher;Bernd Hofmann;Kamil S. Kazimierski

  • A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators

    B Hofmann;B Kaltenbacher;C Pöschl;O Scherzer

  • Some Newton-type methods for the regularization of nonlinear ill-posed problems

    Barbara Kaltenbacher

  • Wellposedness and exponential decay rates for the Moore-Gibson-Thompson equation arising in high intensity ultrasound

    B. Kaltenbacher;I. Lasiecka;R. Marchand

  • Scalable Parameter Estimation for Genome-Scale Biochemical Reaction Networks

    Fabian Fröhlich;Barbara Kaltenbacher;Fabian J. Theis;Jan Hasenauer

  • 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

    Barbara Kaltenbacher;Manfred Kaltenbacher;Imbo Sim

  • WELL-POSEDNESS AND EXPONENTIAL DECAY OF THE ENERGY IN THE NONLINEAR JORDAN–MOORE–GIBSON–THOMPSON EQUATION ARISING IN HIGH INTENSITY ULTRASOUND

    Barbara Kaltenbacher;Irena Lasiecka;Irena Lasiecka;Maria K. Pospieszalska;Maria K. Pospieszalska

  • Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems

    Barbara Kaltenbacher;Frank Schöpfer;Thomas Schuster

  • Mathematics of nonlinear acoustics

    Barbara Kaltenbacher

  • Global existence and exponential decay rates for the Westervelt equation

    Barbara Kaltenbacher;Irena Lasiecka

  • FEM-Based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials

    T. Lahrner;M. Kaltenbacher;B. Kaltenbacher;R. Lerch

  • Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems

    Martin Burger;Barbara Kaltenbacher

  • Convergence rates for the iteratively regularized Gauss?Newton method in Banach spaces

    Barbara Kaltenbacher;Bernd Hofmann

  • A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinearill-posed problems

    Barbara Kaltenbacher

  • Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems

    Barbara Kaltenbacher

  • Efficient Modeling of Ferroelectric Behavior for the Analysis of Piezoceramic Actuators

    Thomas Hegewald;Barbara Kaltenbacher;Manfred Kaltenbacher;Reinhard Lerch

  • Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization

    Anke Griesbaum;Barbara Kaltenbacher;Boris Vexler

  • An analysis of nonhomogeneous Kuznetsov's equation: Local and global well-posedness; exponential decay

    Barbara Kaltenbacher;Irena Lasiecka;Irena Lasiecka

  • PDE based determination of piezoelectric material tensors

    Barbara Kaltenbacher;Tom Lahmer;Marcus Mohr;Manfred Kaltenbacher

  • Iterative Solution Methods.

    Martin Burger;Barbara Kaltenbacher;Andreas Neubauer

Frequent Co-Authors

William Rundell
William Rundell Texas A&M University
Irena Lasiecka
Irena Lasiecka University of Memphis
Otmar Scherzer
Otmar Scherzer University of Vienna
Franz Rendl
Franz Rendl University of Klagenfurt
Boris Vexler
Boris Vexler Technical University of Munich
Roberto Triggiani
Roberto Triggiani University of Memphis
Igor Kukavica
Igor Kukavica University of Southern California
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo
Martin Burger
Martin Burger University of Erlangen-Nuremberg
Fabian J. Theis
Fabian J. Theis Technical University of Munich

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