We consider the nonlinear inverse problem of identifying a parameter from knowledge of the
physical state in an elliptic partial differential equation. For a derivative free Landweber …

This work provides a detailed theoretical and numerical study of the inverse problem of
identifying flexural rigidity in Kirchhoff plate models. From a mathematical standpoint, this …

Some optical surfaces are formed by gravity sagging of molten glass. A glass sheet
supported on a ceramic former is heated; the glass becomes a very viscous fluid and sags …

We study the identification of a parameter in a fourth-order elliptic partial differential equation
that models the optimal design of car windshields to be manufactured by the sagging …

A new approach to parameter identification problems from the point of view of symmetry
analysis theory is given. A mathematical model that arises in the design of car windshield …

The characterisation of those shapes that can be made by the gravity sag-bending
manufacturing process used to produce car windscreens and lenses is modelled as an …

The identification of parameters in (partial) differential equations from measurements of the
solution is an important step in many modelling problems Mathematically, it is a (usually ill …

Inverse problems of identifying parameters in partial differential equations (PDEs) is an
important class of problems with many real-world applications. Inverse problems are …

Inverse problems have been studied in great detail and optimization methods using
objective functionals such as output least-squares (OLS) and modified output least-squares …

Inverse problems of parameter identification and source identification in partial differential
equations are highly ill-posed problems and for their satisfactory theoretical and numerical …