A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
HW Engl, J Zou - Inverse Problems, 2000 - iopscience.iop.org
In this paper we investigate the stability and convergence rates of the widely used output
least-squares method with Tikhonov regularization for the identification of the conductivity …
least-squares method with Tikhonov regularization for the identification of the conductivity …
Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation
H Egger, HW Engl, MV Klibanov - Inverse problems, 2004 - iopscience.iop.org
Consider the semilinear parabolic equation with the initial condition Dirichlet boundary
conditions and a sufficiently regular source term q (⋅), which is assumed to be known a …
conditions and a sufficiently regular source term q (⋅), which is assumed to be known a …
Iterative regularization of parameter identification problems by sequential quadratic programming methods
M Burger, W Mühlhuber - Inverse Problems, 2002 - iopscience.iop.org
The aim of this paper is to design and to analyse sequential quadratic programming (SQP)
methods as iterative regularization methods for ill-posed parameter identification problems …
methods as iterative regularization methods for ill-posed parameter identification problems …
Nonlinear inverse problems: theoretical aspects and some industrial applications
HW Engl, P Kügler - … methods for analysis optimization and control of …, 2005 - Springer
Driven by the needs from applications both in industry and other sciences, the field of
inverse problems has undergone a tremendous growth within the last two decades, where …
inverse problems has undergone a tremendous growth within the last two decades, where …
On optimal reconstruction of constitutive relations
V Bukshtynov, O Volkov, B Protas - Physica D: Nonlinear Phenomena, 2011 - Elsevier
In this investigation we develop and validate a computational method for reconstructing
constitutive relations based on measurement data, applicable to problems arising in …
constitutive relations based on measurement data, applicable to problems arising in …
Identification of a temperature dependent heat conductivity from single boundary measurements
P Kügler - SIAM journal on numerical analysis, 2003 - SIAM
Considering the identification of a temperature dependent conductivity in a quasilinear
elliptic heat equation from single boundary measurements, we proof uniqueness in …
elliptic heat equation from single boundary measurements, we proof uniqueness in …
Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions
B Kaltenbacher, A Neubauer - Inverse problems, 2006 - iopscience.iop.org
This paper is concerned with two aspects in the convergence analysis of regularization
methods for nonlinear problems. Firstly, if a solution of the inverse problem (or its difference …
methods for nonlinear problems. Firstly, if a solution of the inverse problem (or its difference …
On uniqueness and stable estimation of multiple parameters in the Cahn–Hilliard equation
We consider the identifiability and stable numerical estimation of multiple parameters in a
Cahn–Hilliard model for phase separation. Spatially resolved measurements of the phase …
Cahn–Hilliard model for phase separation. Spatially resolved measurements of the phase …
A derivative-free Landweber iteration for parameter identification in certain elliptic PDEs
P Kügler - Inverse Problems, 2003 - iopscience.iop.org
We consider the identification of a parameter in an elliptic equation which—in its weak
formulation—can be described by a strictly monotone and Lipschitz continuous operator …
formulation—can be described by a strictly monotone and Lipschitz continuous operator …
Inverse problems in geographical economics: parameter identification in the spatial Solow model
R Engbers, M Burger… - … Transactions of the …, 2014 - royalsocietypublishing.org
The identification of production functions from data is an important task in the modelling of
economic growth. In this paper, we consider a non-parametric approach to this identification …
economic growth. In this paper, we consider a non-parametric approach to this identification …