@article{KochSchmidtHilleretal.2020, author = {Koch, Thorsten and Schmidt, Martin and Hiller, Benjamin and Pfetsch, Marc and Geißler, Bj{\"o}rn and Henrion, Ren{\´e} and Joormann, Imke and Martin, Alexander and Morsi, Antonio and R{\"o}misch, Werner and Schewe, Lars and Schultz, R{\"u}diger}, title = {Capacity Evaluation for Large-Scale Gas Networks}, volume = {35}, journal = {German Success Stories in Industrial Mathematics}, isbn = {978-3-030-81454-0}, doi = {10.1007/978-3-030-81455-7}, pages = {23 -- 28}, year = {2020}, language = {en} } @article{PfetschFuegenschuhGeissleretal.2014, author = {Pfetsch, Marc and F{\"u}genschuh, Armin and Geißler, Bj{\"o}rn and Geißler, Nina and Gollmer, Ralf and Hiller, Benjamin and Humpola, Jesco and Koch, Thorsten and Lehmann, Thomas and Martin, Alexander and Morsi, Antonio and R{\"o}vekamp, Jessica and Schewe, Lars and Schmidt, Martin and Schultz, R{\"u}diger and Schwarz, Robert and Schweiger, Jonas and Stangl, Claudia and Steinbach, Marc and Vigerske, Stefan and Willert, Bernhard}, title = {Validation of Nominations in Gas Network Optimization: Models, Methods, and Solutions}, journal = {Optimization Methods and Software}, publisher = {Taylor \& Francis}, doi = {10.1080/10556788.2014.888426}, year = {2014}, abstract = {In this article we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: Given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements such that there exists a network state meeting all physical, technical, and legal constraints. We describe a two-stage approach to solve the resulting complex and numerically difficult feasibility problem. The first phase consists of four distinct algorithms applying linear, and methods for complementarity constraints to compute possible settings for the discrete decisions. The second phase employs a precise continuous programming model of the gas network. Using this setup, we are able to compute high quality solutions to real-world industrial instances that are significantly larger than networks that have appeared in the mathematical programming literature before.}, language = {en} } @article{FuegenschuhGeisslerGollmeretal.2013, author = {F{\"u}genschuh, Armin and Geißler, Bj{\"o}rn and Gollmer, Ralf and Hayn, Christine and Henrion, Ren{\´e} and Hiller, Benjamin and Humpola, Jesco and Koch, Thorsten and Lehmann, Thomas and Martin, Alexander and Mirkov, Radoslava and Morsi, Antonio and R{\"o}misch, Werner and R{\"o}vekamp, Jessica and Schewe, Lars and Schmidt, Martin and Schultz, R{\"u}diger and Schwarz, Robert and Schweiger, Jonas and Stangl, Claudia and Steinbach, Marc and Willert, Bernhard}, title = {Mathematical optimization for challenging network planning problems in unbundled liberalized gas markets}, volume = {5}, journal = {Energy Systems}, number = {3}, publisher = {Springer Berlin Heidelberg}, address = {Berlin}, doi = {10.1007/s12667-013-0099-8}, pages = {449 -- 473}, year = {2013}, abstract = {The recently imposed new gas market liberalization rules in Germany lead to a change of business of gas network operators. While previously network operator and gas vendor were united, they were forced to split up into independent companies. The network has to be open to any other gas trader at the same conditions, and free network capacities have to be identified and publicly offered in a non-discriminatory way. We discuss how these changing paradigms lead to new and challenging mathematical optimization problems. This includes the validation of nominations, that asks for the decision if the network's capacity is sufficient to transport a specific amount of flow, the verification of booked capacities and the detection of available freely allocable capacities, and the topological extension of the network with new pipelines or compressors in order to increase its capacity. In order to solve each of these problems and to provide meaningful results for the practice, a mixture of different mathematical aspects have to be addressed, such as combinatorics, stochasticity, uncertainty, and nonlinearity. Currently, no numerical solver is available that can deal with such blended problems out-of-the-box. The main goal of our research is to develop such a solver, that moreover is able to solve instances of realistic size. In this article, we describe the main ingredients of our prototypical software implementations.}, language = {en} } @article{DomschkeGrossHanteetal.2015, author = {Domschke, Pia and Groß, Martin and Hante, Falk M. and Hiller, Benjamin and Schewe, Lars and Schmidt, Martin}, title = {Mathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken}, volume = {156}, journal = {gwf - Gas+Energie}, number = {11}, pages = {880 -- 885}, year = {2015}, language = {de} } @inproceedings{MartinGeisslerHeynetal.2011, author = {Martin, Alexander and Geißler, Bj{\"o}rn and Heyn, Christine and Hiller, Benjamin and Humpola, Jesco and Koch, Thorsten and Lehmann, Thomas and Morsi, Antonio and Pfetsch, Marc and Schewe, Lars and Schmidt, Martin and Schultz, R{\"u}diger and Schwarz, Robert and Schweiger, Jonas and Steinbach, Marc and Willert, Bernhard}, title = {Optimierung Technischer Kapazit{\"a}ten in Gasnetzen}, booktitle = {Optimierung in der Energiewirtschaft}, publisher = {VDI-Verlag, D{\"u}sseldorf}, pages = {105 -- 114}, year = {2011}, language = {en} } @misc{MartinGeisslerHaynetal.2012, author = {Martin, Alexander and Geißler, Bj{\"o}rn and Hayn, Christine and Hiller, Benjamin and Humpola, Jesco and Koch, Thorsten and Lehmann, Thomas and Morsi, Antonio and Pfetsch, Marc and Schewe, Lars and Schmidt, Martin and Schultz, R{\"u}diger and Schwarz, Robert and Schweiger, Jonas and Steinbach, Marc and Willert, Bernhard}, title = {Optimierung Technischer Kapazit{\"a}ten in Gasnetzen}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-15121}, year = {2012}, abstract = {Die mittel- und l{\"a}ngerfristige Planung f{\"u}r den Gastransport hat sich durch {\"A}nderungen in den regulatorischen Rahmenbedingungen stark verkompliziert. Kernpunkt ist die Trennung von Gashandel und -transport. Dieser Artikel diskutiert die hieraus resultierenden mathematischen Planungsprobleme, welche als Validierung von Nominierungen und Buchungen, Bestimmung der technischen Kapazit{\"a}t und Topologieplanung bezeichnet werden. Diese mathematischen Optimierungsprobleme werden vorgestellt und L{\"o}sungsans{\"a}tze skizziert.}, language = {de} } @misc{FuegenschuhGeisslerGollmeretal.2013, author = {F{\"u}genschuh, Armin and Geißler, Bj{\"o}rn and Gollmer, Ralf and Hayn, Christine and Henrion, Rene and Hiller, Benjamin and Humpola, Jesco and Koch, Thorsten and Lehmann, Thomas and Martin, Alexander and Mirkov, Radoslava and Morsi, Antonio and R{\"o}misch, Werner and R{\"o}vekamp, Jessica and Schewe, Lars and Schmidt, Martin and Schultz, R{\"u}diger and Schwarz, Robert and Schweiger, Jonas and Stangl, Claudia and Steinbach, Marc and Willert, Bernhard}, title = {Mathematical Optimization for Challenging Network Planning Problems in Unbundled Liberalized Gas Markets}, issn = {1438-0064}, doi = {10.1007/s12667-013-0099-8}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-17821}, year = {2013}, abstract = {The recently imposed new gas market liberalization rules in Germany lead to a change of business of gas network operators. While previously network operator and gas vendor where united, they were forced to split up into independent companies. The network has to be open to any other gas trader at the same conditions, and free network capacities have to be identified and publicly offered in a non-discriminatory way. We show that these new paradigms lead to new and challenging mathematical optimization problems. In order to solve them and to provide meaningful results for practice, all aspects of the underlying problems, such as combinatorics, stochasticity, uncertainty, and nonlinearity, have to be addressed. With such special-tailored solvers, free network capacities and topological network extensions can, for instance, be determined.}, language = {en} } @misc{PfetschFuegenschuhGeissleretal.2012, author = {Pfetsch, Marc and F{\"u}genschuh, Armin and Geißler, Bj{\"o}rn and Geißler, Nina and Gollmer, Ralf and Hiller, Benjamin and Humpola, Jesco and Koch, Thorsten and Lehmann, Thomas and Martin, Alexander and Morsi, Antonio and R{\"o}vekamp, Jessica and Schewe, Lars and Schmidt, Martin and Schultz, R{\"u}diger and Schwarz, Robert and Schweiger, Jonas and Stangl, Claudia and Steinbach, Marc and Vigerske, Stefan and Willert, Bernhard}, title = {Validation of Nominations in Gas Network Optimization: Models, Methods, and Solutions}, issn = {1438-0064}, doi = {10.1080/10556788.2014.888426}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-16531}, year = {2012}, abstract = {In this article we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: Given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements such that there exists a network state meeting all physical, technical, and legal constraints. We describe a two-stage approach to solve the resulting complex and numerically difficult mixed-integer non-convex nonlinear feasibility problem. The first phase consists of four distinct algorithms facilitating mixed-integer linear, mixed-integer nonlinear, reduced nonlinear, and complementarity constrained methods to compute possible settings for the discrete decisions. The second phase employs a precise continuous nonlinear programming model of the gas network. Using this setup, we are able to compute high quality solutions to real-world industrial instances whose size is significantly larger than networks that have appeared in the literature previously.}, language = {en} } @inproceedings{BarthRoderBrodoceanuetal.2016, author = {Barth, Carlo and Roder, Sebastian and Brodoceanu, Daniel and Kraus, Tobias and Burger, Sven and Hammerschmidt, Martin and Schmidt, Frank and Becker, Christiane}, title = {Increased fluorescence of PbS quantum dots on photonic crystal slab structures}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {181}, year = {2016}, language = {en} } @inproceedings{HammerschmidtBarthBurgeretal.2016, author = {Hammerschmidt, Martin and Barth, Carlo and Burger, Sven and Becker, Christiane and Schmidt, Frank}, title = {Determining 2D photonic crystal geometries from reflectance spectra with a reduced basis method}, booktitle = {Proc. Europ. Opt. Soc. Ann. Meet. 2016 (EOSAM)}, isbn = {978-1-5108-4796-5}, pages = {281}, year = {2016}, language = {en} } @inproceedings{HammerschmidtLockauBurgeretal.2012, author = {Hammerschmidt, Martin and Lockau, Daniel and Burger, Sven and Schmidt, Frank and Schwanke, Christoph and Kirner, Simon and Calnan, Sonya and Stannowski, Bernd and Rech, Bernd}, title = {3D optical modeling of thin-film a-Si/mc-Si tandem solar cells with random textured interfaces using FEM}, booktitle = {Renewable Energy and the Environment Optics and Photonics Congress}, publisher = {Optical Society of America}, doi = {10.1364/E2.2012.JM5A.15}, pages = {JM5A.15}, year = {2012}, language = {en} } @inproceedings{ZschiedrichGreinerPomplunetal.2012, author = {Zschiedrich, Lin and Greiner, Horst and Pomplun, Jan and Hammerschmidt, Martin and Burger, Sven and Schmidt, Frank}, title = {FEM simulations of light extraction from nanostructured organic light-emitting diodes}, booktitle = {Renewable Energy and the Environment Optics and Photonics Congress}, publisher = {Optical Society of America}, doi = {10.1364/SOLED.2012.LT2B.5}, pages = {LT2B.5}, year = {2012}, language = {en} } @article{HammerschmidtLockauBurgeretal.2013, author = {Hammerschmidt, Martin and Lockau, Daniel and Burger, Sven and Schmidt, Frank and Schwanke, Christoph and Kirner, Simon and Calnan, Sonya and Stannowski, Bernd and Rech, Bernd}, title = {FEM-based optical modeling of silicon thin-film tandem solar cells with randomly textured interfaces in 3D}, volume = {8620}, journal = {Proc. SPIE}, doi = {10.1117/12.2001789}, pages = {86201H}, year = {2013}, language = {en} } @article{HorenkoWeiserSchmidtetal.2004, author = {Horenko, Illia and Weiser, Martin and Schmidt, Burkhard and Sch{\"u}tte, Christof}, title = {Fully Adaptive Propagation of the Quantum-Classical Liouville Equation}, volume = {120}, journal = {J. Chem. Phys.}, number = {19}, doi = {10.1063/1.1691015}, pages = {8913 -- 8923}, year = {2004}, language = {en} } @article{LockauSontheimerPreideletal.2014, author = {Lockau, Daniel and Sontheimer, Tobias and Preidel, Veit and Ruske, Florian and Hammerschmidt, Martin and Becker, Christiane and Schmidt, Frank and Rech, Bernd}, title = {Advanced microhole arrays for light trapping in thin film silicon solar cells}, volume = {125}, journal = {Solar Energy Materials and Solar Cells}, doi = {10.1016/j.solmat.2013.11.024}, pages = {298 -- 304}, year = {2014}, language = {en} } @article{KirnerHammerschmidtSchwankeetal.2014, author = {Kirner, Simon and Hammerschmidt, Martin and Schwanke, Christoph and Lockau, Daniel and Calnan, Sonya and Frijnts, Tim and Neubert, Sebastian and Sch{\"o}pke, Andreas and Schmidt, Frank and Zollondz, Jens-Hendrik and Heidelberg, Andreas and Stannowski, Bernd and Rech, Bernd and Schlatmann, Rutger}, title = {Implications of TCO Topography on Intermediate Reflector Design for a-Si/μc-Si Tandem Solar Cells — Experiments and Rigorous Optical Simulations}, volume = {4}, journal = {IEEE Journal of Photovoltaics}, number = {1}, doi = {10.1109/JPHOTOV.2013.2279204}, pages = {10 -- 15}, year = {2014}, language = {en} } @inproceedings{HammerschmidtPomplunBurgeretal.2014, author = {Hammerschmidt, Martin and Pomplun, Jan and Burger, Sven and Schmidt, Frank}, title = {Adaptive sampling strategies for effcient parameter scans in nano-photonic device simulations}, volume = {8980}, booktitle = {Proc. SPIE}, publisher = {SPIE}, doi = {10.1117/12.2036363}, pages = {89801O}, year = {2014}, language = {en} } @inproceedings{HammerschmidtLockauZschiedrichetal.2014, author = {Hammerschmidt, Martin and Lockau, Daniel and Zschiedrich, Lin and Schmidt, Frank}, title = {Optical modelling of incoherent substrate light-trapping in silicon thin film multi-junction solar cells with finite elements and domain decomposition}, volume = {8980}, booktitle = {Proc. SPIE: Physics and Simulation of Optoelectronic Devices XXII}, publisher = {SPIE}, doi = {10.1117/12.2036346}, pages = {898007}, year = {2014}, language = {en} } @inproceedings{JaegerBarthHammerschmidtetal.2016, author = {J{\"a}ger, Klaus and Barth, Carlo and Hammerschmidt, Martin and Herrmann, Sven and Burger, Sven and Schmidt, Frank and Becker, Christiane}, title = {Sinusoidal Nanotextures for Enhanced Light Management in Thin-Film Solar Cells}, booktitle = {28th Workshop on Quantum Solar Energy Conversion - (QUANTSOL)}, editor = {European Society for Quantum Solar Energy Conversion,}, year = {2016}, language = {en} } @article{JaegerKoeppelBarthetal.2016, author = {J{\"a}ger, Klaus and K{\"o}ppel, Grit and Barth, Carlo and Hammerschmidt, Martin and Herrmann, Sven and Burger, Sven and Schmidt, Frank and Becker, Christiane}, title = {Sinusoidal gratings for optimized light management in c-Si thin-film solar cells}, volume = {9898}, journal = {Proc. SPIE}, doi = {10.1117/12.2225459}, pages = {989808}, year = {2016}, language = {en} } @inproceedings{BurgerGutscheHammerschmidtetal.2015, author = {Burger, Sven and Gutsche, Philipp and Hammerschmidt, Martin and Herrmann, Sven and Pomplun, Jan and Schmidt, Frank and Wohlfeil, Benjamin and Zschiedrich, Lin}, title = {Hp-finite-elements for simulating electromagnetic fields in optical devices with rough textures}, volume = {9630}, booktitle = {Proc. SPIE}, arxiv = {http://arxiv.org/abs/1510.02607}, doi = {10.1117/12.2190119}, pages = {96300S}, year = {2015}, language = {en} }