TY - JOUR A1 - Pieper, Martin A1 - Ivanyshyn, Olha T1 - Nonlinear integral equations for a 3D inverse acoustic scattering problem : abstract / O. Ivanyshyn and M. Pieper Y1 - 2008 N1 - World Congress on Computational Mechanics <8, 2008, Venedig> ; European Congress on Computational Methods in Applied Sciences and Engineering <5, 2008, Venedig> ER - TY - JOUR A1 - Pieper, Martin A1 - Klein, Peter T1 - A simple and accurate numerical network flow model for bionic micro heat exchangers JF - Heat mass transfer Y1 - 2011 SN - 0947-7411 VL - 47 IS - 5 SP - 491 EP - 503 PB - Springer CY - Berlin ER - TY - JOUR A1 - Pieper, Martin A1 - Klein, Peter T1 - Application of simple, periodic homogenization techniques to non-linear heat conduction problems in non-periodic, porous media JF - Heat mass transfer N2 - Often, detailed simulations of heat conduction in complicated, porous media have large runtimes. Then homogenization is a powerful tool to speed up the calculations by preserving accurate solutions at the same time. Unfortunately real structures are generally non-periodic, which requires unpractical, complicated homogenization techniques. We demonstrate in this paper, that the application of simple, periodic techniques to realistic media, that are just close to periodic, gives accurate, approximative solutions. In order to obtain effective parameters for the homogenized heat equation, we have to solve a so called “cell problem”. In contrast to periodic structures it is not trivial to determine a suitable unit cell, which represents a non-periodic media. To overcome this problem, we give a rule of thumb on how to choose a good cell. Finally we demonstrate the efficiency of our method for virtually generated foams as well as real foams and compare these results to periodic structures. Y1 - 2012 U6 - http://dx.doi.org/10.1007/s00231-011-0879-4 SN - 0947-7411 VL - 48 IS - 2 SP - 291 EP - 300 PB - Springer CY - Berlin ER - 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 - http://dx.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 - Predel, Bruno A1 - Gerdes, F. A1 - Gerling, Ulrich T1 - Berücksichtigung der Assoziation in der Dampfphase bei Aktivitätsbestimmungen und Revision der Aktivitäten flüssiger Legierungen der Systeme Selen-Thallium, Selen-Wismut und Selen-Antimon JF - Zeitschrift für Metallkunde : international journal of materials research and advanced techniques. Bd. 70, H. 2 Y1 - 1979 SN - 0044-3093 ; 0179-4841 SP - 109 EP - 112 ER - TY - JOUR A1 - Rateike, Franz-Matthias A1 - Siebourg, W. A1 - Schmid, H. A1 - Anders, S. T1 - Birefringence - An important property of plastic substrates for magneto-optical storage disks / W. Siebourg ; H. Schmid ; F. M. Rateike ; S. Anders ; U. Grigo ; H. Löwer JF - Polymer engineering & science / Society of Plastics Engineers. 30 (1990), H. 18 Y1 - 1990 SN - 0032-3888 SP - 1133 EP - 1139 ER - TY - JOUR A1 - Rateike, Franz-Matthias A1 - Weyer, K. G. A1 - Wiedenmann, H. A1 - MacGillivray, W. R. T1 - Observation of absorptive optical bistability in a fabry-perot cavity containing multiple atomic beams / K. G. Weyer ; H. Wiedenmann ; M. Rateike ; W. R. Mac Gillivray ; P. Meystre ; H. Walther JF - Optics communications. 37 (1981), H. 6 Y1 - 1981 SN - 0030-4018 SP - 426 EP - 430 ER - TY - JOUR A1 - Rath, V. A1 - Mottaghy, Darius T1 - Klimainformation aus dem Untergrund? JF - Geographische Rundschau Y1 - 2014 SN - 0016-7460 VL - 66 IS - 7-8 SP - 30 EP - 36 PB - Westermann CY - Braunschweig ER - TY - JOUR A1 - Rath, V. A1 - Mottaghy, Darius T1 - Smooth inversion for ground surface temperature histories: estimating the optimum regularization parameter by generalized cross-validation JF - Geophysical Journal International Y1 - 2007 U6 - http://dx.doi.org/10.1111/j.1365-246X.2007.03587.x SN - 1365-246X VL - 171 IS - 3 SP - 1440 EP - 1448 ER - TY - JOUR A1 - Reger, Vitali A1 - Kuhnhenne, Markus A1 - Hachul, Helmut A1 - Döring, Bernd A1 - Blanke, Tobias A1 - Göttsche, Joachim T1 - Plusenergiegebäude 2.0 in Stahlleichtbauweise JF - Stahlbau Y1 - 2019 U6 - http://dx.doi.org/10.1002/stab.201900034 SN - 1437-1049 (E-journal), 0038-9145 (print) VL - 88 IS - 6 SP - 522 EP - 528 PB - Ernst & Sohn CY - Berlin ER -