Numerical analysis of Cauchy-type problem arising in electrical engineering [Elektronische Ressource] / vorgelegt von Monika Dücker

Monika Dücker

Description

Numerical analysis of Cauchy-type problemarising in electrical engineeringDISSERTATIONzur Erlangung des akademischen Gradeseines Doktors der Naturwissenschaftenvorgelegt vonMonika Dückeraus Harbacheingereicht beim Fachbereich 6 - Mathematikder Universität SiegenSiegen April 2010Gutachter der Dissertation: Prof. Dr. F.-T. Suttmeier (Universität Siegen)Prof. Dr. H. Blum (Universität Dortmund)Tag der mündlichen Prüfung: 10. September 2010AbstractInverse problems arise often in physical and technical processes. In this dissertationwe consider problems of Cauchy-type based on the application of hybrid insulation.The experimental setup takes place at the NTNU Trondheim which placed at thedisposal the measurements for the calculation. In this case we search Dirichlet orNeumann control for given Neumann measurements. After describing the problemof hybrid insulation and introducing the basic principals of functional analysis weanalyse Nitsche’s method for dealing with Dirichlet boundary conditions. The er-ror estimates will be deduced and verified. Subsequent we give an introductionto inverse problems and their regularisation. We formulate three optimal controlproblems on the unit square based on the application of hybrid insulation. Forgiven Neumann measurement we search Dirichlet or Neumann control and for givenDirichlet measurement we search Dirichlet control. For the regularisation we drawonthreematrices.

Sujets

• Mathematics

Informations

• Publié par: universitat_siegen
• Publié le: 01 janvier 2010
• Nombre de lectures: 6
• Langue: English
• Poids de l'ouvrage: 1 Mo

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