Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.3857
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Title: Finite element implementation and adaptive methods in coupled problems
Language: English
Authors: Vokas, Christos 
Keywords: Finite element method (FEM); coupled problems; adaptive algorithms; Thermomechanical coupling; Navier–Stokes equations; Surface acoustic waves
Issue Date: 2021
Examination Date: 29-Jun-2021
Source: Technische Universität Hamburg (2021)
Abstract (german): 
Die Dissertation behandelt die Implementierung gekoppelter physikalischer Probleme und den Test adaptiver Algorithmen, hauptsächlich für Probleme höherer Komplexität, mit Hilfe der Finite-Elemente-Methode. Als Algorithmen werden zu Beginn die gekoppelte h- und p-Adaption behandelt und schließlich verschiedene gekoppelte hp-adaptive Routine betrachtet. Schwache Nichtlinearitäten der Testproblemen werden untersucht. Der numerische Ansatz konzentriert sich auf ein einzelnes globales Gleichungssystem und ein einzelnes Netz.
Abstract (english): 
This dissertation demonstrates the implementation of coupled problem physics modes, and the subsequent testing of adaptive algorithms on the modes with higher complexity, by means of the Finite Element Method. The algorithms initially cover coupled h- and p-adaptation, and eventually a set of coupled hp-adaptive routines is also considered. Mild non-linearities in the test-problems are investigated. The numerical approach focuses on a single global equation system and a single mesh.
URI: http://hdl.handle.net/11420/10706
DOI: 10.15480/882.3857
Institute: Mikrosystemtechnik E-7 
Document Type: Thesis
Thesis Type: Doctoral Thesis
Advisor: Kasper, Manfred 
Referee: Estorff, Otto von 
License: In Copyright In Copyright
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