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Dücker, Monika: Numerical analysis of Cauchy-type problem arising in electrical engineeringNumerische Analyse von Cauchy-Problemen mit Anwendung in der Elektrotechnik. 2010
Inhalt
Abstract
Kurzfassung
Contents
Introduction
Description of the application: Hybrid insulation
A model problem
Basic principals of functional analysis
The Finite Element Method (FEM)
Variational formulation
Numerical Results
Inverse Problems
The theory of inverse problems
Regularisation
The inverse model problem
Description of the problems
Numerical methods
Numerical results for the model problem
Neumann measurements on O and Neumann control on C
Neumann measurements on O and Dirichlet control on C
Dirichlet measurements on O and Dirichlet control on C
Comparison of the results
Results for the Application
Conclusion and outlook
More numerical results for the model problem
Results for given nu|O and searched nu|C
Results for given nu|O and searched u|C
Results for given u|O and searched u|C
More numerical results for hybrid insulation
Bibliography