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  - JOUR
A1  - Kern, Alexander
A1  - Schelthoff, Christof
A1  - Mathieu, Moritz
T1  - Probability of lightning strikes to air-terminations of structures using the electro-geometrical model theory and the statistics of lightning current parameters
Y1  - 2010
N1  - 30th International Conference on Lightning Protection, Cagliari (Italien), 2010
SP  - 750-1
EP  - 750-8
ER  - 
TY  - JOUR
A1  - Bouquegneau, Christian
A1  - Kern, Alexander
A1  - Rousseau, Alain
T1  - Lightning safety guidelines
Y1  - 2010
N1  - Ground´2010 International Conference on Grounding and Earthing ; 4th International Conference ond Lightning Physics and Effects, Nov. 2010 Salvador - Brazil
SP  - 1
EP  - 6
ER  - 
TY  - JOUR
A1  - Kern, Alexander
A1  - Frentzel, Ralf
A1  - Behrens, Jörg
T1  - 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
Y1  - 2010
N1  - 30th International Conference on Lightning Protection, Cagliari (Italien), 2010
SP  - 749-1
EP  - 749-7
ER  - 
TY  - JOUR
A1  - Kern, Alexander
A1  - Klöters, Georg
A1  - Pferdemenges, Jörg
T1  - Optimised protection against lightning for the signalling and safety systems of level crossings on non-electrified railway lines
JF  - RTR : European Rail Technology Review
Y1  - 2010
SN  - 0079-9548
VL  - 50
IS  - 2
ER  - 
TY  - JOUR
A1  - Kern, Alexander
A1  - Schelthoff, Christof
A1  - Mathieu, Moritz
T1  - Die dynamische Blitzkugel : Wahrscheinlichkeitsberechnung für Blitzeinschläge in Gebäude
JF  - De Fachzeitschrift für das Elektrohandwerk. 13-14 (2010)
Y1  - 2010
SP  - 24
EP  - 29
ER  - 
TY  - JOUR
A1  - Goldbach, Daniel
T1  - Fahrstabilitätserhöhung bei Gespannen durch Querverschiebung des Anhängerkupplungspunktes
JF  - mechatronik mobil
Y1  - 2010
SN  - 1867-7371
VL  - 2
IS  - 1
SP  - 23
EP  - 29
PB  - Expert Verlag
CY  - Renningen
ER  - 
TY  - CHAP
A1  - Goldbach, Daniel
T1  - Management der funktionalen Sicherheit einer Entwicklung eines sicherheitskritischen Systems im Bereich Nutzfahrzeuge
T2  - Commercial vehicle technology 2010 : proceedings of the 1st Commercial Vehicle Technology Symposium (CVT 2010), March 16 - 18, 2010, Kaiserslautern / K. Berns ... (ed.)
Y1  - 2010
SN  - 978-3-8322-9040-5
SP  - 487
EP  - 495
PB  - Shaker
CY  - Aachen
ER  - 
TY  - CHAP
A1  - Goldbach, Daniel
A1  - Ament, Christoph
ED  - Scharff, Peter
T1  - Stabilized reversing with vehicle trailer combinations
T2  - Crossing borders within the ABC : automation, biomedical engineering and computer science; proceedings; 55. IWK Internationales Wissenschaftliches Kolloquium; 13 - 17 September 2010, Ilmenau
Y1  - 2010
SN  - 978-3-938843-53-6
SP  - 352
EP  - 357
PB  - Verl. ISLE
CY  - Ilmenau
ER  - 
TY  - JOUR
A1  - Mottaghy, Darius
A1  - Pechnig, Renate
A1  - Taugs, Renate
A1  - Kröger, Jens
A1  - Thomsen, Claudia
A1  - Hesse, Fabian
A1  - Liebsch-Doerschner, Thomas
T1  - Erstellung eines geothermischen Modells für Teile Hamburgs und anliegende Gebiete
JF  - BBR - Fachmagazin für Brunnen- und Leitungsbau
Y1  - 2010
SN  - 1611-1478
VL  - 61
IS  - 12
SP  - 52
EP  - 59
PB  - WVGW Wirtschafts- u. Verl.Ges. Gas und Wasser
CY  - Bonn
ER  -