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https://doi.org/10.15480/882.3857

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: | ![]() |
Appears in Collections: | Publications with fulltext |
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Dissertation_Christos.pdf | 17,72 MB | Adobe PDF | View/Open![]() |
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