
On the inverse problem of vibroacoustography
The aim of this paper is to put the problem of vibroacoustic imaging int...
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Discretization of parameter identification in PDEs using Neural Networks
We consider the illposed inverse problem of identifying parameters in a...
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Determining the nonlinearity in an acoustic wave equation
We consider an undetermined coefficient inverse problem for a nonlinear ...
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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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On an inverse problem of nonlinear imaging with fractional damping
This paper considers the attenuated Westervelt equation in pressure form...
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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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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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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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Allatonce 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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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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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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The Inverse Problem of Reconstructing ReactionDiffusion Systems
This paper considers the inverse problem of recovering statedependent s...
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Allatonce versus reduced iterative methods for time dependent inverse problems
In this paper we investigate allatonce versus reduced regularization o...
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Regularization of a backwards parabolic equation by fractional operators
The backwards diffusion equation is one of the classical illposed inver...
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The Ivanov regularized GaussNewton method in Banach space with an a posteriori choice of the regularization radius
In this paper we consider the iteratively regularized GaussNewton metho...
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The tangential cone condition for some coefficient identification model problems in parabolic PDEs
The tangential condition was introduced in [Hanke et al., 95] as a suffi...
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Barbara Kaltenbacher
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