On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems

Diese Dissertation ist auf den Internetseiten der Hochschulbibliothek online verfügbar. Acknowledgements The present thesis originates from my work at the IGPM (Institut für Geometrie und Praktische Mathematik) at the RWTH Aachen University and was financially supported by the DFG (German Research Foundation) through the Priority Program SPP 1506 “Transport Processes at Fluidic Interfaces”. I would like to express my gratitude to my advisor Prof. Dr. Arnold Reusken for supervising my work and his support throughout my doctoral studies. His advice and feedback has always been very helpful and is greatly appreciated. I also want to express my gratitude to my co-advisor, Prof. Marek Behr, Ph.D., for his efforts related to this thesis. I’m very grateful to my colleagues at the LNM (Lehrstuhl für Numerische Mathematik) for nice lunch breaks, discussions on and off topic and legendary social events. Many thanks to Jens Berger, Patrick Esser, Jörg Grande, Sven Groß, Eva Loch, Igor Voulis, Yuanjun Zhang and especially to the best office-mate I can imagine, Liang Zhang. I also appreciate the lunch and dinner meetings with Markus Bachmayr, Patrick Esser, Angela Klewinghaus and Marcel Makowski. It has always been fun spending time with them. I would also like to thank Prof. Dr. Joachim Schöberl for introducing me to the exciting field of numerical mathematics. I enjoyed the years as student, student worker, diploma student and the months as assistant in Vienna very much. I am also grateful that he declared himself willing to be a third reporter for this thesis. The collaboration and scientific exchange within the interdisciplinary group of the DFG Priority Program SPP 1506 was very fruitful and I want to thank my colleagues for a nice atmosphere and good collaboration, especially Christoph Meyer, Stephan Weller