@article{PieperIvanyshyn2008, author = {Pieper, Martin and Ivanyshyn, Olha}, title = {Nonlinear integral equations for a 3D inverse acoustic scattering problem : abstract / O. Ivanyshyn and M. Pieper}, year = {2008}, language = {en} } @article{PieperKlein2011, author = {Pieper, Martin and Klein, Peter}, title = {A simple and accurate numerical network flow model for bionic micro heat exchangers}, series = {Heat mass transfer}, volume = {47}, journal = {Heat mass transfer}, number = {5}, publisher = {Springer}, address = {Berlin}, isbn = {0947-7411}, pages = {491 -- 503}, year = {2011}, language = {en} } @article{PieperKlein2012, author = {Pieper, Martin and Klein, Peter}, title = {Application of simple, periodic homogenization techniques to non-linear heat conduction problems in non-periodic, porous media}, series = {Heat mass transfer}, volume = {48}, journal = {Heat mass transfer}, number = {2}, publisher = {Springer}, address = {Berlin}, issn = {0947-7411}, doi = {10.1007/s00231-011-0879-4}, pages = {291 -- 300}, year = {2012}, abstract = {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.}, language = {en} } @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{PredelGerdesGerling1979, author = {Predel, Bruno and Gerdes, F. and Gerling, Ulrich}, title = {Ber{\"u}cksichtigung der Assoziation in der Dampfphase bei Aktivit{\"a}tsbestimmungen und Revision der Aktivit{\"a}ten fl{\"u}ssiger Legierungen der Systeme Selen-Thallium, Selen-Wismut und Selen-Antimon}, series = {Zeitschrift f{\"u}r Metallkunde : international journal of materials research and advanced techniques. Bd. 70, H. 2}, journal = {Zeitschrift f{\"u}r Metallkunde : international journal of materials research and advanced techniques. Bd. 70, H. 2}, issn = {0044-3093 ; 0179-4841}, pages = {109 -- 112}, year = {1979}, language = {de} } @article{RateikeSiebourgSchmidetal.1990, author = {Rateike, Franz-Matthias and Siebourg, W. and Schmid, H. and Anders, S.}, title = {Birefringence - An important property of plastic substrates for magneto-optical storage disks / W. Siebourg ; H. Schmid ; F. M. Rateike ; S. Anders ; U. Grigo ; H. L{\"o}wer}, series = {Polymer engineering \& science / Society of Plastics Engineers. 30 (1990), H. 18}, journal = {Polymer engineering \& science / Society of Plastics Engineers. 30 (1990), H. 18}, isbn = {0032-3888}, pages = {1133 -- 1139}, year = {1990}, language = {en} } @article{RateikeWeyerWiedenmannetal.1981, author = {Rateike, Franz-Matthias and Weyer, K. G. and Wiedenmann, H. and MacGillivray, W. R.}, title = {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}, series = {Optics communications. 37 (1981), H. 6}, journal = {Optics communications. 37 (1981), H. 6}, isbn = {0030-4018}, pages = {426 -- 430}, year = {1981}, language = {en} } @article{RathMottaghy2014, author = {Rath, V. and Mottaghy, Darius}, title = {Klimainformation aus dem Untergrund?}, series = {Geographische Rundschau}, volume = {66}, journal = {Geographische Rundschau}, number = {7-8}, publisher = {Westermann}, address = {Braunschweig}, issn = {0016-7460}, pages = {30 -- 36}, year = {2014}, language = {de} } @article{RathMottaghy2007, author = {Rath, V. and Mottaghy, Darius}, title = {Smooth inversion for ground surface temperature histories: estimating the optimum regularization parameter by generalized cross-validation}, series = {Geophysical Journal International}, volume = {171}, journal = {Geophysical Journal International}, number = {3}, issn = {1365-246X}, doi = {10.1111/j.1365-246X.2007.03587.x}, pages = {1440 -- 1448}, year = {2007}, language = {en} } @article{RegerKuhnhenneHachuletal.2019, author = {Reger, Vitali and Kuhnhenne, Markus and Hachul, Helmut and D{\"o}ring, Bernd and Blanke, Tobias and G{\"o}ttsche, Joachim}, title = {Plusenergiegeb{\"a}ude 2.0 in Stahlleichtbauweise}, series = {Stahlbau}, volume = {88}, journal = {Stahlbau}, number = {6}, publisher = {Ernst \& Sohn}, address = {Berlin}, issn = {1437-1049 (E-journal), 0038-9145 (print)}, doi = {10.1002/stab.201900034}, pages = {522 -- 528}, year = {2019}, language = {de} }