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 …

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 …

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 …

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 …

In this investigation we develop and validate a computational method for reconstructing
constitutive relations based on measurement data, applicable to problems arising in …

Considering the identification of a temperature dependent conductivity in a quasilinear
elliptic heat equation from single boundary measurements, we proof uniqueness in …

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 …

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 …

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 …

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 …