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01/26/2021
On level set type methods for elliptic Cauchy problems
Two methods of level set type are proposed for solving the Cauchy proble...
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01/22/2021
Regularization by dynamic programming
We investigate continuous regularization methods for linear inverse prob...
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01/22/2021
On regularization methods based on dynamic programming techniques
In this article we investigate the connection between regularization the...
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01/22/2021
On regularization methods for inverse problems of dynamic type
In this paper we consider new regularization methods for linear inverse ...
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01/22/2021
Semiconductors and Dirichlet-to-Neumann maps
We investigate the problem of identifying discontinuous doping profiles ...
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12/22/2020
Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations
We investigate iterated Tikhonov methods coupled with a Kaczmarz strateg...
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12/22/2020
On the identification of piecewise constant coefficients in optical diffusion tomography by level set
In this paper, we propose a level set regularization approach combined w...
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12/20/2020
On Tikhonov functionals penalized by Bregman distances
We investigate Tikhonov regularization methods for nonlinear ill-posed p...
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12/20/2020
Iterative regularization methods for a discrete inverse problem in MRI
We propose and investigate efficient numerical methods for inverse probl...
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11/30/2020
Mean value methods for solving the heat equation backwards in time
We investigate an iterative mean value method for the inverse (and highl...
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11/30/2020
On inverse problems modeled by PDE's
We investigate the iterative methods proposed by Maz'ya and Kozlov (see ...
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11/30/2020
Optimal exploitation of renewable resource stocks: Necessary conditions
We study a model for the exploitation of renewable stocks developed in C...
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11/29/2020
On iterative methods for solving ill-posed problems modeled by PDE's
We investigate the iterative methods proposed by Maz'ya and Kozlov (see ...
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11/29/2020
An iterative method for solving elliptic Cauchy problems
We investigate the Cauchy problem for elliptic operators with C^∞-coeffi...
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11/29/2020
Applications of the Backus-Gilbert method to linear and some non linear equations
We investigate the use of a functional analytical version of the Backus-...
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11/24/2020
Inverse problems for semiconductors: models and methods
We consider the problem of identifying discontinuous doping profiles in ...
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11/24/2020
On inverse doping profile problems for the stationary voltage-current map
We consider the problem of identifying possibly discontinuous doping pro...
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11/23/2020
On inverse problems for semiconductor equations
This paper is devoted to the investigation of inverse problems related t...
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11/19/2020
Regularization of systems of nonlinear ill-posed equations: II. Applications
In part I we introduced modified Landweber-Kaczmarz methods and have est...
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11/19/2020
Regularization of systems of nonlinear ill-posed equations: I. Convergence Analysis
In this article we develop and analyze novel iterative regularization te...
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11/18/2020
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations
In this article a modified Levenberg-Marquardt method coupled with a Kac...
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11/17/2020
Mean value iterations for nonlinear elliptic Cauchy problems
We investigate the Cauchy problem for a class of nonlinear elliptic oper...
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11/17/2020
A Mann iterative regularization method for elliptic Cauchy problems
We investigate the Cauchy problem for linear elliptic operators with C^∞...
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11/14/2020
On the relation between constraint regularization, level sets, and shape optimization
We consider regularization methods based on the coupling of Tikhonov reg...
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11/13/2020
Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators
We consider a regularization concept for the solution of ill–posed opera...
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11/12/2020
On a family of gradient type projection methods for nonlinear ill-posed problems
We propose and analyze a family of successive projection methods whose s...
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11/11/2020
Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt method
In this article we propose a novel strategy for choosing the Lagrange mu...
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11/11/2020
On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations
In this article we combine the projective Landweber method, recently pro...
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11/10/2020