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Finite Element Time Domain and Its Applications
Cigánek, Jan ; Dědková, Jarmila (oponent) ; Karban, Pavel (oponent) ; Raida, Zbyněk (vedoucí práce)
The thesis deals with modeling dispersive media by the finite-element time-domain method. Mathematical model including dispersive models is proposed and finite element approximation of this model is presented. Three of the most commonly used dispersive models are investigated, namely the Debye model, the Lorentz model and the Drude model. The techniques for implementing these dispersive models are described. Presented techniques are incorporated into a finite element method. Finally, a new method based on a digital filtering technique is presented. Various test examples are used to verify all the developed methods. Achieved results are discussed, and possible improvements of methods are suggested.
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Finite Element Time Domain and Its Applications
Cigánek, Jan ; Dědková, Jarmila (oponent) ; Karban, Pavel (oponent) ; Raida, Zbyněk (vedoucí práce)
The thesis deals with modeling dispersive media by the finite-element time-domain method. Mathematical model including dispersive models is proposed and finite element approximation of this model is presented. Three of the most commonly used dispersive models are investigated, namely the Debye model, the Lorentz model and the Drude model. The techniques for implementing these dispersive models are described. Presented techniques are incorporated into a finite element method. Finally, a new method based on a digital filtering technique is presented. Various test examples are used to verify all the developed methods. Achieved results are discussed, and possible improvements of methods are suggested.
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Hard-coupled model of local direct resistance heating of thin sheets
Karban, P. ; Mach, F. ; Doležel, Ivo
A monolithic model of local direct resistance heating of thin sheets is presented. The model respects all nonlinearities of the system such as the temperature dependencies of physical properties of individual parts of the system. Numerical computations are performed by a finite element method of higher order of accuracy and realized by our own codes Hermes2D and Agros2D. The methodology is illustrated by a typical example whose results are discussed.
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Aktuátor založený na principu termoelasticity pro vytváření extrémních sil
Doležel, Ivo ; Donátová, M. ; Karban, P. ; Ulrych, B.
Aktuátory pracující na principu termoelasticity představují slibná zařízení pro upevňování těles v různých průmyslových aplikacích. Příspěvek se zybývá jejich počítačovou simulací ve statických i dynamických režimech. Úloha představuje vícenásobně sdružený problém charakterizovaný vzájemnou interakcí elektromagnetického pole, teplotního pole a pole termoplastických deformací. Navržený matematický model se řeší v silně sdružené formulaci. Metodika je ilustrována na typickém příkladu.
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