Identification of material parameters in mechanical models [Elektronische Ressource] / eingereicht von Marcus Meyer

Identification of material parametersin mechanical modelsDISSERTATIONzur Erlangung des akademischen GradesDoctor rerum naturalium(Dr. rer. nat.)TECHNISCHE UNIVERSITÄT CHEMNITZFakultät für Mathematikeingereicht von Dipl.-Math. techn. Marcus Meyergeboren am 28. Mai 1982 in SchlemaChemnitz, den 23. März 2010Betreuer: Prof. Dr. Bernd Hofmann (Chemnitz)Dr. Torsten Hein (Chemnitz)Gutachter: Prof. Dr. Bernd Hofmann (Chemnitz)Prof. Dr. Arnd Rösch (Duisburg/Essen)URL: http://archiv.tu-chemnitz.de/pub/2010/0052Author’s addressMarcus MeyerChemnitz University of TechnologyDepartment of MathematicsD-09126 Chemnitz, Germanymarcus.meyer@mathematik.tu-chemnitz.dehttp://www.tu-chemnitz.de/mathematik/inverse_problemeACKNOWLEDGEMENTSAcknowledgementsFinancial supportTheresearchpresentedinthisdissertationwassupportedbyDeutscheForschungs-gemeinschaft(DFG)withintheprojectNature of ill-posedness, approximate sourceconditions, and adapted regularization methods for identification problems (grantHO1454/7-1 and -2), which is embedded in the superior project Numerical sim-ulation of coupled problems in mechanics (grant PAK47/1).Personal thanksFirstofall,IwanttoexpressmygreatgratitudetomysupervisorBerndHofmann,who was during the last five years the most important person for the developmentof this dissertation.