Efficient numerical solution of large scale algebraic matrix equations in PDE control and model order reduction [Elektronische Ressource] / presented by: Jens Saak

Ecient Numerical Solution of Large ScaleAlgebraic Matrix Equations in PDE Controland Model Order ReductionDissertationsubmitted to Faculty of Mathematicsat Chemnitz University of Technologyin accordance with the requirements for the degreeDr. rer. nat.x˙(t)= x(t)+ u(t);M N By(t)= x(t)Cˆ ˆ ˆM N B˙= xˆ(t)+ u(t);xˆ(t)=y(t) ˆ xˆ(t)Cpresented by: Dipl. Math. Jens SaakAdvisor: Prof. Dr. Peter BennerReviewers: Prof. Dr. Enrique S. Quintana-Ort´ıProf. Dr. Ekkehard W. SachsChemnitz July 6, 2009iiiiito S¸enayivACKNOWLEDGEMENTSFinancial Support. Large parts of this research have been refined in the projectsParallele numerische Losung¨ von Optimalsteuerungsproblemen fur¨ instationar¨ e Diusions-Konvektions-Reaktionsgleichungen (project A15 in SFB393 Parallele Numerische Simulationfur¨ Physik und Kontinuumsmechanik), Numerische Losung¨ von Optimalsteuerungsproblemenfur¨ instationar¨ e Diusions-Konvektions- und Diusions-Reaktionsgleichungen and IntegrierteSimulation des Systems “Werkzeugmaschine-Antrieb-Zerspanprozess” auf der Grundlage ord-nungsreduzierter FEM-Strukturmodelle supported by the German Research Foundation(DFG) over the past years.