TY - JOUR A1 - Pieper, Martin A1 - Klein, Peter T1 - Numerical solution of the heat equation with non-linear, time derivative-dependent source term JF - International Journal for Numerical Methods in Engineering N2 - The mathematical modeling of heat conduction with adsorption effects in coated metal structures yields the heat equation with piecewise smooth coefficients and a new kind of source term. This term is special, because it is non-linear and furthermore depends on a time derivative. In our approach we reformulated this as a new problem for the usual heat equation, without source term but with a new non-linear coefficient. We gave an existence and uniqueness proof for the weak solution of the reformulated problem. To obtain a numerical solution, we developed a semi-implicit and a fully implicit finite volume method. We compared these two methods theoretically as well as numerically. Finally, as practical application, we simulated the heat conduction in coated aluminum fibers with adsorption in the zeolite coating. Copyright © 2010 John Wiley & Sons, Ltd. Y1 - 2010 U6 - https://doi.org/10.1002/nme.2937 SN - 0029-5981 VL - 84 IS - 10 SP - 1205 EP - 1221 PB - Wiley CY - Chichester ER - TY - THES A1 - Kowalski, Julia T1 - Streamline estimation from sparsely sampled q-space Magnetic Resonance data Y1 - 2010 N1 - Master Thesis in Medical Physics, ETH Zurich ER - TY - BOOK A1 - Meinhardt, Stefan A1 - Kern, Christian A1 - Kauffmann, Kristian A1 - Jahraus, Jochen A1 - Lindemann, Markus T1 - Innovative Gestaltung von Geschäftsprozessen in der Konsumgüterindustrie : Marktumfeld - Herausforderungen - Vorgehensmodell - Praxisbeispiele - Handlungsempfehlungen / [SAP Consulting] Stefan Meinhardt ... Unter Mitarb. von ... Markus A. Lindemann ... Y1 - 2010 SN - 978-3-89864-527-0 PB - dpunkt-Verl. CY - Heidelberg ER - TY - CHAP A1 - Risse, Henry A1 - Bolle, Friedrich-Wilhelm A1 - Müller, Karsten T1 - Energiebilanzen und -potenziale von Abwasseranlagen : Vorstellung neuer Untersuchungsvorhaben in NRW T2 - 11. Kölner Kanal- und Kläranlagen-Kolloquium am 29. und 30. Sept. 2010. Aachener Schriften zur Stadtentwässerung ASS. Bd. 14 Y1 - 2010 SN - 978-3-938996-07-2 SP - 27/1 EP - 27/16 PB - Ges. zur Förderung der Siedlungswasserwirtschaft an der RWTH Aachen CY - Aachen ER - TY - BOOK A1 - Müller, Karsten T1 - Bedarfsorientierte Instandhaltung von Kanalisationen Y1 - 2010 SN - 978-3-8167-8060-1 PB - IRB Verl. CY - Stuttgart ER - TY - CHAP A1 - Gall, Jan A1 - Abel, Dirk A1 - Ahlbrink, Nils A1 - Pitz-Paal, Robert A1 - Andersson, Joel A. E. A1 - Diehl, M. A1 - Teixeira Boura, Cristiano José A1 - Schmitz, Mark A1 - Hoffschmidt, Bernhard T1 - Simulation and control of solar thermal power plants T2 - International Conference on Renewable Energies and Power Quality : ICREPQ '10 : Granada 23rd - 25th March 2010 Y1 - 2010 SP - 1 EP - 5 ER - TY - BOOK A1 - Siedenbiedel, Georg T1 - Organisation Y1 - 2010 SN - 978-3-8252-8413-8 N1 - UTB ; 8413 : Betriebswirtschaftslehre PB - Lucius & Lucius CY - Stuttgart ER - TY - BOOK A1 - Schelthoff, Christof T1 - Mathematik im ingenieurwissenschaftlichen Bachelorstudium / 4., überarb. Aufl. Y1 - 2010 SN - 978-3-8322-9288-1 PB - Shaker CY - Aachen ER - TY - BOOK A1 - Schelthoff, Christof T1 - Mathematik im ingenieurwissenschaftlichen Bachelorstudium : Lösung der Übungs- und Klausuraufgaben Y1 - 2010 SN - 978-3-8322-9502-8 PB - Shaker CY - Aachen ER - TY - BOOK A1 - Helmig, Ilka T1 - Ilka Helmig, residential observation : Toonkamer in de Pastoe Fabriek Utrecht, Dutch Design Week Eindhoven Y1 - 2010 SN - 978-90-89102-48-5 N1 - Ausstellungskatalog PB - D'jonge Hond CY - Zwolle ER -