@article{PieperKlein2010, author = {Pieper, Martin and Klein, Peter}, title = {Numerical solution of the heat equation with non-linear, time derivative-dependent source term}, series = {International Journal for Numerical Methods in Engineering}, volume = {84}, journal = {International Journal for Numerical Methods in Engineering}, number = {10}, publisher = {Wiley}, address = {Chichester}, issn = {0029-5981}, doi = {10.1002/nme.2937}, pages = {1205 -- 1221}, year = {2010}, abstract = {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.}, language = {en} } @article{KernSchelthoffMathieu2010, author = {Kern, Alexander and Schelthoff, Christof and Mathieu, Moritz}, title = {Probability of lightning strikes to air-terminations of structures using the electro-geometrical model theory and the statistics of lightning current parameters}, pages = {750-1 -- 750-8}, year = {2010}, language = {en} } @article{BouquegneauKernRousseau2010, author = {Bouquegneau, Christian and Kern, Alexander and Rousseau, Alain}, title = {Lightning safety guidelines}, pages = {1 -- 6}, year = {2010}, language = {en} } @article{KernFrentzelBehrens2010, author = {Kern, Alexander and Frentzel, Ralf and Behrens, J{\"o}rg}, title = {Simulation of the transient voltages in the auxiliary power network of a large power plant in case of a direct lightning strike to the high-voltage overhead transmission line}, pages = {749-1 -- 749-7}, year = {2010}, language = {en} } @article{KernKloetersPferdemenges2010, author = {Kern, Alexander and Kl{\"o}ters, Georg and Pferdemenges, J{\"o}rg}, title = {Optimised protection against lightning for the signalling and safety systems of level crossings on non-electrified railway lines}, series = {RTR : European Rail Technology Review}, volume = {50}, journal = {RTR : European Rail Technology Review}, number = {2}, isbn = {0079-9548}, year = {2010}, language = {en} } @article{KernSchelthoffMathieu2010, author = {Kern, Alexander and Schelthoff, Christof and Mathieu, Moritz}, title = {Die dynamische Blitzkugel : Wahrscheinlichkeitsberechnung f{\"u}r Blitzeinschl{\"a}ge in Geb{\"a}ude}, series = {De Fachzeitschrift f{\"u}r das Elektrohandwerk. 13-14 (2010)}, journal = {De Fachzeitschrift f{\"u}r das Elektrohandwerk. 13-14 (2010)}, pages = {24 -- 29}, year = {2010}, language = {de} } @article{Goldbach2010, author = {Goldbach, Daniel}, title = {Fahrstabilit{\"a}tserh{\"o}hung bei Gespannen durch Querverschiebung des Anh{\"a}ngerkupplungspunktes}, series = {mechatronik mobil}, volume = {2}, journal = {mechatronik mobil}, number = {1}, publisher = {Expert Verlag}, address = {Renningen}, issn = {1867-7371}, pages = {23 -- 29}, year = {2010}, language = {de} } @inproceedings{Goldbach2010, author = {Goldbach, Daniel}, title = {Management der funktionalen Sicherheit einer Entwicklung eines sicherheitskritischen Systems im Bereich Nutzfahrzeuge}, series = {Commercial vehicle technology 2010 : proceedings of the 1st Commercial Vehicle Technology Symposium (CVT 2010), March 16 - 18, 2010, Kaiserslautern / K. Berns ... (ed.)}, booktitle = {Commercial vehicle technology 2010 : proceedings of the 1st Commercial Vehicle Technology Symposium (CVT 2010), March 16 - 18, 2010, Kaiserslautern / K. Berns ... (ed.)}, publisher = {Shaker}, address = {Aachen}, isbn = {978-3-8322-9040-5}, pages = {487 -- 495}, year = {2010}, language = {de} } @inproceedings{GoldbachAment2010, author = {Goldbach, Daniel and Ament, Christoph}, title = {Stabilized reversing with vehicle trailer combinations}, series = {Crossing borders within the ABC : automation, biomedical engineering and computer science; proceedings; 55. IWK Internationales Wissenschaftliches Kolloquium; 13 - 17 September 2010, Ilmenau}, booktitle = {Crossing borders within the ABC : automation, biomedical engineering and computer science; proceedings; 55. IWK Internationales Wissenschaftliches Kolloquium; 13 - 17 September 2010, Ilmenau}, editor = {Scharff, Peter}, publisher = {Verl. ISLE}, address = {Ilmenau}, organization = {Technische Universit{\"a}t / Fakult{\"a}t f{\"u}r Informatik und Automatisierung}, isbn = {978-3-938843-53-6}, pages = {352 -- 357}, year = {2010}, language = {en} } @article{MottaghyPechnigTaugsetal.2010, author = {Mottaghy, Darius and Pechnig, Renate and Taugs, Renate and Kr{\"o}ger, Jens and Thomsen, Claudia and Hesse, Fabian and Liebsch-Doerschner, Thomas}, title = {Erstellung eines geothermischen Modells f{\"u}r Teile Hamburgs und anliegende Gebiete}, series = {BBR - Fachmagazin f{\"u}r Brunnen- und Leitungsbau}, volume = {61}, journal = {BBR - Fachmagazin f{\"u}r Brunnen- und Leitungsbau}, number = {12}, publisher = {WVGW Wirtschafts- u. Verl.Ges. Gas und Wasser}, address = {Bonn}, issn = {1611-1478}, pages = {52 -- 59}, year = {2010}, language = {de} }