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 - 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 T1 - Vector hyperinterpolation on the sphere JF - Journal of approximation theory. 156 (2009), H. 2 Y1 - 2009 SN - 0021-9045 SP - 173 EP - 186 ER - TY - BOOK A1 - Pieper, Martin T1 - Spektralrandintegralmethoden zur Maxwell-Gleichung Y1 - 2007 SN - 978-3-89959-635-9 N1 - Zugl.: Göttingen, Univ., Diss., 2007 PB - Der Andere Verl. CY - Tönning [u.a.] ER - TY - JOUR A1 - Pieper, Martin T1 - Nonlinear integral equations for an inverse electromagnetic scattering problem JF - Journal of Physics Conference Series. 124 (2008) Y1 - 2008 SN - 1742-6596 ER - TY - JOUR A1 - Pieper, Martin T1 - Multiobjective optimization with expensive objectives applied to a thermodynamic material design problem JF - Proceedings in applied mathematics and mechanics : PAMM. 11 (2011), H. 1 Y1 - 2011 SN - 1617-7061 SP - 733 EP - 734 PB - Wiley CY - Weinheim ER - TY - BOOK A1 - Pieper, Martin T1 - Mathematische Optimierung: Eine Einführung in die kontinuierliche Optimierung mit Beispielen Y1 - 2017 SN - 978-3-658-16975-6 U6 - http://dx.doi.org/10.1007/978-3-658-16975-6 PB - Springer Fachmedien CY - Wiesbaden ER - TY - CHAP A1 - Pieper, Martin T1 - Digitale Hochschullehre in mathematischen und mathematikdidaktischen Veranstaltungen T2 - Beiträge zum Mathematikunterricht 2018 : Vorträge zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung GDM und DMV 2018 (52. Jahrestagung der Gesellschaft für Didaktik der Mathematik). Bd. 1 Y1 - 2018 SN - 978-3-95987-089-4 SP - 105 EP - 106 PB - WTM-Verlag CY - Münster ER - TY - CHAP A1 - Pieper, Martin T1 - Lernzielorientierte Kurse und Stack Aufgaben in der Mathematikausbildung T2 - Beiträge zum Mathematikunterricht 2018 : Vorträge zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung GDM und DMV 2018 (52. Jahrestagung der Gesellschaft für Didaktik der Mathematik). Bd. 3 Y1 - 2018 SN - 978-3-95987-089-4 SP - 1399 EP - 1402 PB - WTM-Verlag CY - Münster ER - TY - BOOK A1 - Pieper, Martin T1 - Quantenmechanik : Einführung in die mathematische Formulierung Y1 - 2019 SN - 978-3-658-28329-2 U6 - http://dx.doi.org/10.1007/978-3-658-28329-2 N1 - auch gedruckt in der Bereichbibliothek Jülich unter der Signatur 61 UHH 41 PB - Springer Spektrum CY - Wiesbaden ER - TY - BOOK A1 - Pieper, Martin T1 - Quantenmechanik: Einführung in die mathematische Formulierung Y1 - 2019 SN - 978-3-658-28328-5 U6 - http://dx.doi.org/10.1007/978-3-658-28329-2 PB - Springer Spektrum CY - Wiesbaden ER - TY - BOOK A1 - Pieper, Martin T1 - Quantum mechanics: Introduction to mathematical formulation N2 - Anyone who has always wanted to understand the hieroglyphs on Sheldon's blackboard in the TV series The Big Bang Theory or who wanted to know exactly what the fate of Schrödinger's cat is all about will find a short, descriptive introduction to the world of quantum mechanics in this essential. The text particularly focuses on the mathematical description in the Hilbert space. The content goes beyond popular scientific presentations, but is nevertheless suitable for readers without special prior knowledge thanks to the clear examples. KW - Quantenmechanik KW - Hilbert Room KW - Postulates KW - Schrödingers cat KW - Operators Y1 - 2021 SN - 978-3-658-32644-9 SN - 978-3-658-32645-6 U6 - http://dx.doi.org/10.1007/978-3-658-32645-6 PB - Springer CY - Wiesbaden ER - TY - CHAP A1 - Philipp, Brauner A1 - Brillowski, Florian Sascha A1 - Dammers, Hannah A1 - Königs, Peter A1 - Kordtomeikel, Frauke Carole A1 - Petruck, Henning A1 - Schaar, Anne Kathrin A1 - Schmitz, Seth A1 - Steuer-Dankert, Linda A1 - Mertens, Alexander A1 - Gries, Thomas A1 - Leicht-Scholten, Carmen A1 - Nagel, Saskia K. A1 - Nitsch, Verena A1 - Schuh, Günther A1 - Ziefle, Martina ED - Mrugalska, Beata ED - Trzcielinski, Stefan ED - Karwowski, Waldemar ED - Nicolantonio, Massimo Di ED - Roossi, Emilio T1 - A research framework for human aspects in the internet of production: an intra-company perspective T2 - Advances in Manufacturing, Production Management and Process Control: Proceedings of the AHFE 2020 Virtual Conferences on Human Aspects of Advanced Manufacturing, Advanced Production Management and Process Control, and Additive Manufacturing, Modeling Systems and 3D Prototyping, July 16–20, 2020, USA N2 - Digitalization in the production sector aims at transferring concepts and methods from the Internet of Things (IoT) to the industry and is, as a result, currently reshaping the production area. Besides technological progress, changes in work processes and organization are relevant for a successful implementation of the “Internet of Production” (IoP). Focusing on the labor organization and organizational procedures emphasizes to consider intra-company factors such as (user) acceptance, ethical issues, and ergonomics in the context of IoP approaches. In the scope of this paper, a research approach is presented that considers these aspects from an intra-company perspective by conducting studies on the shop floor, control level and management level of companies in the production area. Focused on four central dimensions—governance, organization, capabilities, and interfaces—this contribution presents a research framework that is focused on a systematic integration and consideration of human aspects in the realization of the IoP. KW - Human factors KW - Digitalization KW - Acceptance KW - Ethics KW - Human-robot collaboration Y1 - 2020 SN - 978-3-030-51980-3 U6 - http://dx.doi.org/10.1007/978-3-030-51981-0_1 SP - 3 EP - 17 PB - Springer CY - Cham ER - TY - CHAP A1 - Pfundt, H. A1 - Vogelsang, D. A1 - Gerling, Ulrich T1 - Calculation of the crust profile in aluminium reduction cells by thermal computer modelling T2 - Light metals 1989 : 118th annual meeting of the Minerals, Metals and Materials Society, Las Vegas, NV, Feb. 27 - Mar. 03. 1989 Y1 - 1988 SP - 371 EP - 377 PB - Minerals, Metals and Materials Soc. CY - Warrendale, Pa. ER - TY - BOOK A1 - Peter, M. A1 - Stracke, Thomas A1 - Weinzierl, C. A1 - Faber, Christian A1 - Schwarzer, Klemens T1 - Verbundvorhaben zur Ermittlung der Leistungsfähigkeit von Sonnenheizsystemen zur Wassererwärmung : Phase 2 (VELS II) ; Abschlussbericht Y1 - 1995 PB - Solar-Institut Jülich, Fachhochschule Aachen CY - Jülich ER - TY - CHAP A1 - Paulsen, Svea A1 - Hoffstadt, Kevin A1 - Krafft, Simone A1 - Leite, A. A1 - Zang, J. A1 - Fonseca-Zang, W. A1 - Kuperjans, Isabel T1 - Continuous biogas production from sugarcane as sole substrate T2 - Energy Reports Y1 - 2020 U6 - http://dx.doi.org/10.1016/j.egyr.2019.08.035 N1 - 6th International Conference on Energy and Environment Research, ICEER 2019, 22–25 July, University of Aveiro, Portugal VL - 6 IS - Supplement 1 SP - 153 EP - 158 PB - Elsevier ER - TY - JOUR A1 - Pauksztat, Anja A1 - Kuperjans, Isabel A1 - Meyer, Jörg T1 - Formeln statt Zahlen : Referenzwerte Formeln zur energetischen Bewertung von Produktionsanlagen JF - BWK : das Energie-Fachmagazin Y1 - 2005 SN - 0006-9612 SN - 1618-193X VL - 57 IS - 12 SP - 52 EP - 55 ER - TY - JOUR A1 - Pauksztat, Anja A1 - Kuperjans, Isabel A1 - Meyer, Jörg T1 - Produktbezogene Referenzwerte für Energieeffizienz und CO2-Emissionen JF - Energiewirtschaftliche Tagesfragen : et ; Zeitschrift für Energiewirtschaft, Recht, Technik und Umwelt Y1 - 2005 SN - 0013-743X SN - 0720-6240 VL - 55 IS - 6 SP - 374 EP - 376 ER -