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09/14/2023
Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems
In this contribution, we are concerned with model order reduction in the...
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03/17/2023
Nonlinearity parameter imaging in the frequency domain
Nonlinearity parameter tomography leads to the problem of identifying a ...
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10/14/2022
On the simultanenous identification of two space dependent coefficients in a quasilinear wave equation
This paper considers the Westervelt equation, one of the most widely use...
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09/26/2022
Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance
A key observation underlying this paper is the fact that the range invar...
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12/28/2021
Determining kernels in linear viscoelasticity
In this work, we investigate the inverse problem of determining the kern...
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09/04/2021
On the inverse problem of vibro-acoustography
The aim of this paper is to put the problem of vibroacoustic imaging int...
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08/24/2021
Discretization of parameter identification in PDEs using Neural Networks
We consider the ill-posed inverse problem of identifying parameters in a...
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07/08/2021
Determining the nonlinearity in an acoustic wave equation
We consider an undetermined coefficient inverse problem for a nonlinear ...
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04/12/2021
Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation
In this paper we consider the inverse problem of identifying the initial...
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03/16/2021
On an inverse problem of nonlinear imaging with fractional damping
This paper considers the attenuated Westervelt equation in pressure form...
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02/15/2021
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements
We consider an undetermined coefficient inverse problem for a non- linea...
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01/17/2021
On uniqueness and reconstruction of a nonlinear diffusion term in a parabolic equation
The problem of recovering coefficients in a diffusion equation is one of...
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01/17/2021
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation
This paper considers the inverse problem of recovering both the unknown,...
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01/14/2021
All-at-once formulation meets the Bayesian approach: A study of two prototypical linear inverse problems
In this work, the Bayesian approach to inverse problems is formulated in...
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01/14/2021
Iterative regularization for constrained minimization formulations of nonlinear inverse problems
In this paper we the formulation of inverse problems as constrained mini...
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04/27/2020
Some application examples of minimization based formulations of inverse problems and their regularization
In this paper we extend a recent idea of formulating and regularizing in...
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03/01/2020
The Inverse Problem of Reconstructing Reaction-Diffusion Systems
This paper considers the inverse problem of recovering state-dependent s...
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10/07/2019
All-at-once versus reduced iterative methods for time dependent inverse problems
In this paper we investigate all-at-once versus reduced regularization o...
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10/05/2019
Regularization of a backwards parabolic equation by fractional operators
The backwards diffusion equation is one of the classical ill-posed inver...
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10/04/2019
The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius
In this paper we consider the iteratively regularized Gauss-Newton metho...
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08/03/2019