Kaltenbacher, Barbara

1. Regularization based on all-at-once formulations for inverse problems
   2016/03/17 by Kaltenbacher, Barbara · 2 citations
   #35R30 #65J22 #65M32 #FOS: Mathematics #Numerical Analysis (math.NA)
2. On an inverse problem of nonlinear imaging with fractional damping
   2021/03/16 by Kaltenbacher, Barbara, Rundell, William · 3 citations
   #35K55 #35R11 #5R30 #78A46 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
3. Parabolic approximation of quasilinear wave equations with applications in nonlinear acoustics
   2020/11/14 by Barbara Kaltenbacher, Vanja Nikolić, Kaltenbacher, Barbara +1 · 3 citations
   Mathematics · Computer Science · Engineering · #Advanced Mathematical Physics Problems #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations
4. On the Jordan-Moore-Gibson-Thompson equation: well-posedness with\n quadratic gradient nonlinearity and singular limit for vanishing relaxation\n time
   2019/01/09 by Barbara Kaltenbacher, Kaltenbacher, Barbara, Vanja Nikolić +1 · 2 citations
   Engineering · Mathematics · Physics and Astronomy · #35L72 #35L77 #35L80 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Stability and Controllability of Differential Equations
5. On the simultanenous identification of the nonlinearity coefficient and the sound speed in the Westervelt equation
   2022/10/14 by Kaltenbacher, Barbara, Rundell, William · 2 citations
   #35L70 #35R11 #35R30 #78A46 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
6. Identifying conductivity in electrical impedance tomography with total\n variation regularization
   2016/09/13 by Michael Hinze, Hinze, Michael, Barbara Kaltenbacher +3 · 1 citation
   Engineering · Mathematics · #35J25 #35R30 #65N12 #65N21 #Analysis of PDEs (math.AP) #Electrical and Bioimpedance Tomography #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations
7. Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space
   2017/07/24 by Kaltenbacher, Barbara, de Souza, Mario Luiz Previatti · 1 citation
   #35R30 #65J22 #FOS: Mathematics #Numerical Analysis (math.NA)
8. Recovery of multiple coefficients in a reaction-diffusion equation
   2019/05/29 by Kaltenbacher, Barbara, Rundell, William · 1 citation
   #65M32 #FOS: Mathematics #Numerical Analysis (math.NA) #Primary: 35R30 #Secondary: 35R11
9. Fundamental models in nonlinear acoustics part I. Analytical comparison
   2017/08/21 by Kaltenbacher, Barbara, Thalhammer, Mechthild · 1 citation
   #35L72 #35L77 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. On uniqueness and reconstruction of a nonlinear diffusion term in a\n parabolic equation
    2021/01/17 by Barbara Kaltenbacher, William Rundell, Kaltenbacher, Barbara +1 · 1 citation
    Computer Science · Mathematics · #35K15 #35K58 #35R30 #80A23 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems
11. Parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging
    2019/09/06 by Kaltenbacher, Barbara, Nguyen, Tram Thi Ngoc, Wald, Anne +1 · 1 citation
    #35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy
    2015/06/09 by Nikolic, Vanja, Kaltenbacher, Barbara · 1 citation
    #FOS: Mathematics #Optimization and Control (math.OC) #Primary: 49Q12 #Secondary: 90C31
13. Reconstruction of space-dependence and nonlinearity of a reaction term in a subdiffusion equation
    2025/02/28 by Kaltenbacher, Barbara, Rundell, William · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
14. Acoustic nonlinearity parameter tomography with the Jordan-Moore-Gibson-Thompson equation in frequency domain
    2025/02/09 by Kaltenbacher, Barbara · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
15. Forward and Inverse Problems in Nonlinear Acoustics
    2025/02/12 by Barbara Kaltenbacher, Kaltenbacher, Barbara · 1 citation
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geotechnical and Geomechanical Engineering #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Ultrasonics and Acoustic Wave Propagation