Barbara Kaltenbacher

Barbara Kaltenbacher's AcademicInfluence.com Rankings

Mathematics

#2403

World Rank

#3723

Historical Rank

Applied Mathematics

#81

World Rank

#94

Historical Rank

Measure Theory

#2700

World Rank

#3226

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Barbara Kaltenbacher's Degrees

PhD Mathematics University of Vienna

Why Is Barbara Kaltenbacher Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Barbara Kaltenbacher is an Austrian mathematician whose research concerns inverse problems, regularization, and PDE-constrained optimization, with applications including the mathematical modeling of piezoelectricity and nonlinear acoustics. She is a Professor of Applied Analysis at the University of Klagenfurt, a member of the Executive Committee of the European Mathematical Society and editor in chief of the Journal of the European Mathematical Society.. Barbara Kaltenbacher has published more than 130 scientific papers and is author of four monographs.

(See a Problem?)

Barbara Kaltenbacher's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Iterative Regularization Methods for Nonlinear Ill-Posed Problems (2008) (688)
Iterative Solution Methods (2015) (444)
Regularization Methods in Banach Spaces (2012) (343)
A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators (2007) (326)
Some Newton-type methods for the regularization of nonlinear ill-posed problems (1997) (184)
Wellposedness and exponential decay rates for the Moore-Gibson-Thompson equation arising in high intensity ultrasound (2011) (141)
Scalable Parameter Estimation for Genome-Scale Biochemical Reaction Networks (2016) (116)
Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems (2009) (113)
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 (2013) (99)
Global existence and exponential decay rates for the Westervelt equation (2009) (75)
Convergence rates for the iteratively regularized Gauss–Newton method in Banach spaces (2010) (70)
WELL-POSEDNESS AND EXPONENTIAL DECAY OF THE ENERGY IN THE NONLINEAR JORDAN–MOORE–GIBSON–THOMPSON EQUATION ARISING IN HIGH INTENSITY ULTRASOUND (2012) (69)
FEM-Based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials (2008) (65)
Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems (2000) (64)
Mathematics of nonlinear acoustics (2015) (59)
A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinearill-posed problems (1998) (56)
Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems (2006) (54)
Efficient Modeling of Ferroelectric Behavior for the Analysis of Piezoceramic Actuators (2008) (51)
Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization (2008) (49)
PDE based determination of piezoelectric material tensors (2006) (44)
On the regularizing properties of a full multigrid method for ill-posed problems (2001) (42)
Boundary optimal control of the Westervelt and the Kuznetsov equations (2009) (40)
Well-posedness of the Westervelt and the Kuznetsov equation with nonhomogeneous Neumann boundary conditions (2011) (39)
Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems (2011) (37)
Identifying conductivity in electrical impedance tomography with total variation regularization (2016) (36)
Finite Element Formulation for Ferroelectric Hysteresis of Piezoelectric Materials (2010) (35)
An analysis of nonhomogeneous Kuznetsov's equation: Local and global well‐posedness; exponential decay (2012) (35)
The Jordan–Moore–Gibson–Thompson Equation: Well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time (2019) (32)
A Convergence Rates Result in Banach Spaces with Non-Smooth Operators (2006) (32)
Regularization of a backwards parabolic equation by fractional operators (2019) (32)
On an inverse potential problem for a fractional reaction–diffusion equation (2019) (30)
Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions (2006) (30)
On Broyden's method for the regularization of nonlinear ill-posed problems (1998) (29)
Convergence rates of the continuous regularized Gauss—Newton method (2002) (28)
Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data (2011) (28)
A note on logarithmic convergence rates for nonlinear Tikhonov regularization (2008) (26)
An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics (2008) (26)
The inverse problem of reconstructing reaction–diffusion systems (2020) (24)
On the identification of a nonlinear term in a reaction–diffusion equation (2019) (24)
Regularization of parameter estimation by adaptive discretization using refinement and coarsening indicators (2002) (24)
V-cycle convergence of some multigrid methods for ill-posed problems (2003) (24)
All-at-once versus reduced iterative methods for time dependent inverse problems (2017) (23)
Absorbing boundary conditions for nonlinear acoustics: The Westervelt equation (2015) (23)
Lavrentiev's regularization method in Hilbert spaces revisited (2015) (22)
Identification of material tensors for piezoceramic materials (2000) (22)
Regularization Based on All-At-Once Formulations for Inverse Problems (2016) (21)
Exponential decay for low and higher energies in the third order linear Moore-Gibson-Thompson equation with variable viscosity (2012) (20)
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations (2010) (20)
A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems (2002) (19)
Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions (2018) (19)
Toward Global Convergence for Strongly Nonlinear Ill-Posed Problems via a Regularizing Multilevel Approach (2006) (19)
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: II. all-at-once formulations (2013) (19)
A convergence analysis of regularization by discretization in preimage space (2012) (19)
A Projection-Regularized Newton Method for Nonlinear Ill-Posed Problems and Its Application to Parameter Identification Problems with Finite Element Discretization (2000) (18)
Fundamental models in nonlinear acoustics part I. Analytical comparison (2017) (18)
Direct and inverse problems related to MEMS (2009) (18)
Identification of nonlinear B–H curves based on magnetic field computations and multigrid methods for ill-posed problems (2003) (18)
On the effect of self-penalization of piezoelectric composites in topology optimization (2011) (18)
Boundary Observability and Stabilization for Westervelt Type Wave Equations without Interior Damping (2010) (17)
A saddle point variational formulation for projection–regularized parameter identification (2002) (17)
Optimal measurement selection for piezoelectric material tensor identification (2008) (17)
On convergence and convergence rates for Ivanov and Morozov regularization and application to some parameter identification problems in elliptic PDEs (2018) (15)
Regularization by discretization in Banach spaces (2015) (14)
Integration based profile likelihood calculation for PDE constrained parameter estimation problems (2016) (14)
Minimization Based Formulations of Inverse Problems and Their Regularization (2018) (14)
Well-Posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation (2013) (13)
Sensitivity Analysis for Shape Optimization of a Focusing Acoustic Lens in Lithotripsy (2015) (13)
On an inverse problem of nonlinear imaging with fractional damping (2021) (12)
Convergence rates for an iteratively regularized Newton–Landweber iteration in Banach space (2013) (12)
A thermodynamically consistent phenomenological model for ferroelectric and ferroelastic hysteresis (2014) (11)
An online parameter identification method for time dependent partial differential equations (2015) (11)
Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space (2017) (11)
Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling (2014) (11)
Avoiding degeneracy in the Westervelt equation by state constrained optimal control (2013) (11)
Vanishing relaxation time limit of the Jordan--Moore--Gibson--Thompson wave equation with Neumann and absorbing boundary conditions (2019) (10)
Regularization of Ill-Posed Problems with Non-negative Solutions (2018) (10)
Efficient time integration methods based on operator splitting and application to the Westervelt equation (2013) (10)
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: I. reduced formulation (2013) (10)
Some inverse problems for wave equations with fractional derivative attenuation (2021) (9)
Convergence Rates of a Multilevel Method for the Regularization of Nonlinear Ill-Posed Problems (2008) (9)
On the identification of a coefficient function in a nonlinear wave equation (2009) (9)
Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics (2020) (9)
Functional error estimators for the adaptive discretization of inverse problems (2015) (9)
Time-fractional Moore–Gibson–Thompson equations (2021) (9)
Inverse Scheme for Acoustic Source Localization using Microphone Measurements and Finite Element Simulations (2018) (9)
The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations (2021) (8)
Regularization of inverse problems via box constrained minimization (2018) (8)
Analysis of an optimization problem for a piezoelectric energy harvester (2018) (8)
On higher regularity for the Westervelt equation with strong nonlinear damping (2015) (8)
The tangential cone condition for some coefficient identification model problems in parabolic PDEs (2019) (8)
A convergence rates result for an iteratively regularized Gauss–Newton–Halley method in Banach space (2014) (8)
Well-posedness of a general higher order model in nonlinear acoustics (2017) (8)
Some regularization methods for a thermoacoustic inverse problem (2011) (8)
Recovery of multiple coefficients in a reaction-diffusion equation (2019) (8)
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements (2021) (8)
The shape derivative for an optimization problem in lithotripsy (2016) (7)
A uniqueness result for a nonlinear hyperbolic equation (2007) (7)
Identification of material nonlinearities in piezoelectric ceramics (2003) (7)
Lectures on advanced computational methods in mechanics (2007) (7)
Optimal control of a singular PDE modeling transient MEMS with control or state constraints (2014) (7)
DETERMINATION OF PARAMETERS IN NONLINEAR HYPERBOLIC PDES VIA A MULTIHARMONIC FORMULATION, USED IN PIEZOELECTRIC MATERIAL CHARACTERIZATION (2006) (7)
On convergence of local averaging regression function estimates for the regularization of inverse problems (2011) (7)
On the use of state constraints in optimal control of singular PDEs (2013) (7)
On convergence rates of some iterative regularization methods for an inverse problem for a nonlinear parabolic equation connected with continuous casting of steel (1999) (7)
A refinement and coarsening indicator algorithm for finding sparse solutions of inverse problems (2011) (6)
Sensitivity analysis of linear and nonlinear lithotripter models† (2010) (6)
Parameter estimation in SDEs via the Fokker–Planck equation: Likelihood function and adjoint based gradient computation (2018) (6)
Determination of piezoelectric material parameters using a combined measurement and simulation technique (2001) (6)
Parameter Identification in Partial Differential Equations (2005) (5)
Determining kernels in linear viscoelasticity (2021) (5)
Computing quasisolutions of nonlinear inverse problems via efficient minimization of trust region problems (2015) (5)
Periodic solutions and multiharmonic expansions for the Westervelt equation (2021) (5)
Identification of Nonlinear Coefficients in Hyperbolic PDEs, with Application to Piezoelectricity (2007) (5)
Tackling inverse problems in a Banach space environment: from theory to applications (2012) (5)
An Inverse Source Problem Related to Acoustic Nonlinearity Parameter Imaging (2021) (5)
Convergence Rates for the Iteratively Regularized Landweber Iteration in Banach Space (2011) (5)
Well-posedness of the Westervelt equation with higher order absorbing boundary conditions (2019) (5)
Limiting behavior of quasilinear wave equations with fractional-type dissipation (2022) (5)
An iteratively regularized Gauss–Newton–Halley method for solving nonlinear ill-posed problems (2015) (4)
A convergence analysis of the midpoint rule for first kind Volterra integral equations with noisy data (2010) (4)
Some application examples of minimization based formulations of inverse problems and their regularization (2020) (4)
Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance (2022) (4)
Regularization by truncated Cholesky factorization: A comparison of four different approaches (2007) (4)
Application of the Reciprocity Principle for the Determination of Planar Cracks in Piezoelectric Material (2013) (4)
Parameter Identification for the Landau–Lifshitz–Gilbert Equation in Magnetic Particle Imaging (2019) (4)
Determining the nonlinearity in an acoustic wave equation (2021) (4)
On the simultanenous identification of two space dependent coefficients in a quasilinear wave equation (2022) (4)
The least error method for sparse solution reconstruction (2016) (3)
Applying a Statistical Model to the Observed Texture Evolution of Fatigued Metal Films (2020) (3)
On the inverse problem of vibro-acoustography (2021) (3)
Modeling and Numerical Simulation of Ferroelectric Material Behavior Using Hysteresis Operators (2011) (3)
Absorbing boundary conditions for the Westervelt equation (2014) (3)
Analysis of Perfectly Matched Layer Technique for the Second Order Wave Equations in Time Domain (2010) (3)
A model reference adaptive system approach for nonlinear online parameter identification (2020) (3)
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation (2021) (3)
Combined Experimental-Simulation Based Acoustic Source Localization (2016) (3)
Exact Real Computation in Computer Algebra (2001) (3)
Iterative identification of hysteresis in Maxwell's equations (2007) (2)
Parameter identification and uncertainty quantification in stochastic state space models and its application to texture analysis (2019) (2)
Discretization of parameter identification in PDEs using neural networks (2021) (2)
Determining damping terms in fractional wave equations (2021) (2)
System Modeling and Optimization (2013) (2)
Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation (2021) (2)
Stability of a Reduced Perfectly Matched Layer Method for the Second Order Wave Equation in Time Domain (2011) (2)
Stability of a Reduced Perfectly Matched Layer Method for the Second Order Wave Equation in Time Domain (2011) (2)
The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius (2019) (2)
Parameter Identification in Stochastic Differential Equations to Model the Degradation of Metal Films (2017) (2)
Capabilities of inverse scheme for acoustic source localization at low frequencies (2021) (2)
All-at-once formulation meets the Bayesian approach: A study of two prototypical linear inverse problems (2021) (2)
On the determination of a coefficient in a space-fractional equation with operators of Abel type (2022) (1)
Piezoelectric material nonlinearity identification via multiharmonic finite elements (2004) (1)
Nonlinearity parameter imaging in the frequency domain (2023) (1)
Preface: Introduction to the Special Volume on Nonlinear PDEs and Control Theory with Applications (2013) (1)
Optimal control and inverse problems (2020) (1)
Part I. Why to use Banach spaces in regularization theory (2012) (1)
Correction to: Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions (2018) (1)
Simulation Based Determination of Piezoelectric Material Parameters (2005) (1)
Introduction to the special volume ``Mathematics of nonlinear acoustics: New approaches in analysis and modeling'' (2016) (1)
Some aspects in nonlinear acoustics: structure-acoustic coupling and shape optimization (2018) (1)
Enhanced choice of the parameters in an iteratively regularized Newton-Landweber iteration in Banach space (2014) (1)
Introduction to the special issue "Nonlinear wave phenomena in continuum physics: Some recent findings" (2019) (1)
Continuous analogue to iterative optimization for PDE-constrained inverse problems (2018) (1)
The vanishing relaxation time behavior of multi-term nonlocal Jordan-Moore-Gibson-Thompson equations (2023) (1)
Models and an efficient finite element scheme for the simulation of piezoelectric materials (2011) (1)
Simultaneous reconstruction of sound speed and nonlinearity parameter in a paraxial model of vibro-acoustography in frequency domain (2023) (0)
System Modeling and Optimization: 26th IFIP TC 7 Conference, CSMO 2013, Klagenfurt, Austria, September 9-13, 2013, Revised Selected Papers (2014) (0)
On the Regularizing Properties of Truncated Cholesky Factorization 1 (2006) (0)
Nonl inear Acoust ics (2019) (0)
Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory (2012) (0)
N A ] 1 J un 2 01 5 An online parameter identification method for time dependent partial differential equations (2018) (0)
Part V. The method of approximate inverse (2012) (0)
Well-Posedness and asymptotic behavior of solutions for the Blackstock-Crighton rotational model equation (2013) (0)
An iteratively regularized Gauss–Newton–Halley method for solving nonlinear ill-posed problems (2014) (0)
On wellposedness in nonlinear acoustics (2008) (0)
On the simultanenous identification of the nonlinearity coefficient and the sound speed in the Westervelt equation (2022) (0)
Simulation of Pulsed Ultrasonic Wave Propagation in Viscous Fluid exhibiting Frequency Power Law Attenuation (2009) (0)
Computational Inverse Problems for Partial Differential Equations Organised (2018) (0)
Analysis of an optimization problem for a piezoelectric energy harvester (2018) (0)
SPECIAL SESSION 4 17 Special Session 4 : Nonlinear PDEs and Control Theory with Applications (2012) (0)
Regularization of backwards diffusion by fractional time derivatives (2019) (0)
On high intensity ultrasound focusing by optimal acoustic lens design (2007) (0)
Optimal boundary control for equations of nonlinear acoustics (2010) (0)
N A ] 2 9 M ay 2 01 9 Recovery of multiple coefficients in a reaction-diffusion equation (2019) (0)
Computational Inverse Problems for Partial Differential Equations (2018) (0)
Identifying conductivity in electrical impedance tomography with total variation regularization (2017) (0)
Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space (2018) (0)
On uniqueness and reconstruction of a nonlinear diffusion term in a parabolic equation (2021) (0)
Optimal Data Selection for Piezoelectric Material Characterization (2006) (0)
A convergence analysis of Tikhonov regularization with the Cauchy regularization term (2011) (0)
REGULARIZATION BY DISCRETIZATION: SOME COMPUTATIONAL ASPECTS AND RECENT RESULTS (2013) (0)
P2I-5 Enhanced Finite Element Scheme for Non-Linear Piezoelectricity (2007) (0)
Part IV. Iterative regularization (2012) (0)
The Mathematics of Fluids and Solids (2019) (0)
Part III. Tikhonov-type regularization (2012) (0)
Erratum: Regularization by discretization in Banach spaces (2016 Inverse Problems 32 035004) (2016) (0)
6 Level set methods (2008) (0)
Iterative regularization for constrained minimization formulations of nonlinear inverse problems (2021) (0)
A Presentation of the Austrian Mathematical Society (2019) (0)
3 Modified Landweber methods (2008) (0)
5 Multilevel methods (2008) (0)
4 Newton type methods (2008) (0)
2 Nonlinear Landweber iteration (2008) (0)
Sensitivity Analysis for Shape Optimization of a Focusing Acoustic Lens in Lithotripsy (2016) (0)
Some uniqueness results for parameter identification in nonlinear hyperbolic PDEs (2007) (0)
Part II. Geometry and mathematical tools of Banach spaces (2012) (0)

This paper list is powered by the following services:

Other Resources About Barbara Kaltenbacher

en.wikipedia.org

What Schools Are Affiliated With Barbara Kaltenbacher?

Barbara Kaltenbacher is affiliated with the following schools:

Barbara Kaltenbacher's Academic­Influence.com Rankings

Barbara Kaltenbacher's Degrees

Why Is Barbara Kaltenbacher Influential?

Barbara Kaltenbacher's Published Works

Published Works

Other Resources About Barbara Kaltenbacher

What Schools Are Affiliated With Barbara Kaltenbacher?

Barbara Kaltenbacher's AcademicInfluence.com Rankings