Publications at the Department of Mathematics and Natural Sciences from 2019

Results: 897
Created on: Sun, 28 Apr 2024 16:37:13 +0200 in 0.0506 sec


Faulwasser, Timm; Göttlich, Simone; Worthmann, Karl
Mathematical innovations fostering the energy transition - control and optimization. - In: Automatisierungstechnik, ISSN 2196-677X, Bd. 68 (2020), 12, S. 982-984

https://doi.org/10.1515/auto-2020-0152
Kleyman, Viktoria; Gernandt, Hannes; Worthmann, Karl; Abbas, Hossam S.; Brinkmann, Ralf; Müller, Matthias A.
Modellierung und Parameteridentifikation für die Echtzeittemperaturregelung bei retinalen Lasertherapien :
Modeling and parameter identification for real-time temperature controlled retinal laser therapies. - In: Automatisierungstechnik, ISSN 2196-677X, Bd. 68 (2020), 11, S. 953-966

Laser photocoagulation is a widely used treatment for a variety of retinal diseases. Temperature-controlled irradiation is a promising approach to enable uniform heating, reduce the risks of over- or undertreatment, and unburden the ophthalmologists from a time consuming manual power titration. In this paper, an approach is proposed for the development of models with different levels of detail, which serve as a basis for improved, more accurate observer and control designs. To this end, we employ a heat diffusion model and propose a suitable discretization and subsequent model reduction procedures. Since the absorption of the laser light can vary strongly at each irradiation site, a method for identifying the absorption coefficient is presented. To identify a parameter in a reduced order model, an optimal interpolatory projection method for parametric systems is used. In order to provide an online identification of the absorption coefficient, we prove and exploit monotonicity of the parameter influence.



https://doi.org/10.1515/auto-2020-0074
Link, Steffen; Dimitrova, Anna; Krischok, Stefan; Bund, Andreas; Ivanov, Svetlozar
Electrogravimetry and structural properties of thin silicon layers deposited in sulfolane and ionic liquid electrolytes. - In: ACS applied materials & interfaces, ISSN 1944-8252, Bd. 12 (2020), 51, S. 57526-57538

Potentiostatic deposition of silicon is performed in sulfolane (SL) and ionic liquid (IL) electrolytes. Electrochemical quartz crystal microbalance with damping monitoring (EQCM-D) is used as main analytical tool for the characterization of the reduction process. The apparent molar mass (Mapp) is applied for in situ estimation of the layer contamination. By means of this approach, appropriate electrolyte composition and substrate type are selected to optimize the structural properties of the layers. The application of SL electrolyte results in silicon deposition with higher efficiency compared to the IL 1-butyl-1-methylpyrrolidinium bis(trifluoromethylsulfonyl)imide, [BMP][TFSI]. This has been associated with the instability of the IL in the presence of silicon tetrachloride and the enhanced incorporation of IL decomposition products into the growing silicon deposit. X-ray photoelectron spectroscopy (XPS) analysis supports the results about the layer composition, as suggested from the microgravimetric experiments. Attention has been given to the impact of practically relevant substrates (i.e., Cu, Ni, and vitreous carbon) on the reduction process. An effective deposition can be carried out on the metal electrodes in both electrolytes due to accelerated reaction kinetics for these types of substrates. However, on vitreous carbon (VC), a successful reduction of SiCl4 can only be accomplished in the IL, while the electroreduction process in SL is dominated by the decomposition of the electrolyte. For short deposition times, the scanning electron microscopy (SEM) images display rough morphologies in the nanometer range, which evolve further to structures with increased length scale of the surface roughness. The development of a rough interface during deposition, resulting in QCM damping at advanced stages of the process, is interpreted by a model accounting for the resistive force caused by the interaction of the liquid with a nonuniform layer interface. By using this approach, the individual contributions of the surface roughness and viscoelastic effects to the measured damping values are estimated.



https://doi.org/10.1021/acsami.0c14694
Kröger, Jörg; Néel, Nicolas
Scanning probe microscopy - from surfaces to single atoms. - In: Encyclopedia of applied physics, (2020), S. 1-39

This article highlights the important role of scanning tunneling and atomic force microscopy in modern surface science experiments. Imaging with atomic resolution, manipulation of matter atom by atom, spectroscopy of confined electrons, molecular vibrational quanta, surface phonons, singleatom spin flips, and singlemolecule fluorescence photons are some of the diverse applications of the microscopes. The impact of the actual atomic or molecular termination of the tip is emphasized. A variety of examples presents the state of the art in quantum physics of surfaces and interfaces and demonstrates that scanning probe techniques significantly contribute to the understanding of matter at the atomic scale.



https://doi.org/10.1002/3527600434.eap914
Schulte, Stefan; Hartung, Gerd; Kröger, Jörg; Himmerlich, Marcel; Petit, Valentine; Taborelli, Mauro
Energy-resolved secondary-electron emission of candidate beam screen materials for electron cloud mitigation at the Large Hadron Collider. - In: Physical review accelerators and beams, ISSN 2469-9888, Bd. 23 (2020), 10, S. 103101-1-103101-10

Energy-resolved secondary electron spectroscopy has been performed on air-exposed standard Cu samples and modified Cu surfaces that are tested and possibly applied to efficiently suppress electron cloud formation in the high-luminosity upgrade of the Large Hadron Collider at CERN. The Cu samples comprise pristine oxygen-free, carbon-coated and laser-structured surfaces, which were characterized prior to and after electron irradiation and rare-gas ion bombardment. Secondary-electron and reflected-electron yields measured with low charge dose of the samples exhibit a universal dependence on the energy of the primary impinging electrons. State-of-the-art models can successfully be used to describe the spectroscopic data. The supplied spectral dependence of electron emission and integrated electron yield as well as the derived parametrization can serve as a basis for forthcoming simulations of electron cloud formation and multipacting.



https://doi.org/10.1103/PhysRevAccelBeams.23.103101
De Santis, Marianna; Eichfelder, Gabriele; Niebling, Julia; Rocktäschel, Stefan
Solving multiobjective mixed integer convex optimization problems. - In: SIAM journal on optimization, ISSN 1095-7189, Bd. 30 (2020), 4, S. 3122-3145

Multiobjective mixed integer convex optimization refers to mathematical programming problems where more than one convex objective function needs to be optimized simultaneously and some of the variables are constrained to take integer values. We present a branch-and-bound method based on the use of properly defined lower bounds. We do not simply rely on convex relaxations, but we build linear outer approximations of the image set in an adaptive way. We are able to guarantee correctness in terms of detecting both the efficient and the nondominated set of multiobjective mixed integer convex problems according to a prescribed precision. As far as we know, the procedure we present is the first non-scalarization-based deterministic algorithm devised to handle this class of problems. Our numerical experiments show results on biobjective and triobjective mixed integer convex instances.



https://doi.org/10.1137/19M1264709
Bosch, Martí; Behrens, Arne; Sinzinger, Stefan; Hentschel, Martina
Optische Systeme im Phasenraumbild. - In: DGaO-Proceedings, ISSN 1614-8436, Bd. 121 (2020), B29, insges. 2 S.

https://nbn-resolving.org/urn:nbn:de:0287-2020-B029-0
Xiao, Meiling; Xing, Zihao; Jin, Zhao; Liu, Changpeng; Ge, Junjie; Zhu, Jianbing; Wang, Ying; Zhao, Xiao; Chen, Zhongwei
Preferentially engineering FeN4 edge sites onto graphitic nanosheets for highly active and durable oxygen electrocatalysis in rechargeable Zn-air batteries. - In: Advanced materials, ISSN 1521-4095, Bd. 32 (2020), 49, 2004900, insges. 9 S.
Im Titel ist "4" tiefgestellt

Single-atom FeN4 sites at the edges of carbon substrates are considered more active for oxygen electrocatalysis than those in plane; however, the conventional high-temperature pyrolysis process does not allow for precisely engineering the location of the active site down to atomic level. Enlightened by theoretical prediction, herein, a self-sacrificed templating approach is developed to obtain edge-enriched FeN4 sites integrated in the highly graphitic nanosheet architecture. The in situ formed Fe clusters are intentionally introduced to catalyze the growth of graphitic carbon, induce porous structure formation, and most importantly, facilitate the preferential anchoring of FeN4 to its close approximation. Due to these attributes, the as-resulted catalyst (denoted as Fe/N-G-SAC) demonstrates unprecedented catalytic activity and stability for the oxygen reduction reaction (ORR) and oxygen evolution reaction (OER) by showing an impressive half-wave potential of 0.89 V for the ORR and a small overpotential of 370 mV at 10 mA cm^-2 for the OER. Moreover, the Fe/N-G-SAC cathode displays encouraging performance in a rechargeable Zn-air battery prototype with a low charge-discharge voltage gap of 0.78 V and long-term cyclability for over 240 cycles, outperforming the noble metal benchmarks.



https://doi.org/10.1002/adma.202004900
Eichfelder, Gabriele;
Methods for multiobjective bilevel optimization. - In: Bilevel optimization, (2020), S. 423-449

This chapter is on multiobjective bilevel optimization, i.e. on bilevel optimization problems with multiple objectives on the lower or on the upper level, or even on both levels. We give an overview on the major optimality notions used in multiobjective optimization. We provide characterization results for the set of optimal solutions of multiobjective optimization problems by means of scalarization functionals and optimality conditions. These can be used in theoretical and numerical approaches to multiobjective bilevel optimization.As multiple objectives arise in multiobjective optimization as well as in bilevel optimization problems, we also point out the results on the connection between these two classes of optimization problems. Finally, we give reference to numerical approaches which have been followed in the literature to solve these kind of problems. We concentrate in this chapter on nonlinear problems, while the results and statements naturally also hold for the linear case.



Gernandt, Hannes; Haller, Frédéric E.; Reis, Timo
A linear relation approach to port-Hamiltonian differential-algebraic equations. - [Hamburg[ : [Fachbereich Mathematik, Universität Hamburg], 2020. - 1 Online-Ressource (31 Seiten). - ([Hamburger Beiträge zur Angewandten Mathematik] ; [2020, 16])Titel der monographischen Reihe und Veröffentlichungsangabe von der Homepage entnommen

http://epub.sub.uni-hamburg.de/epub/volltexte/2020/112509/