@article{MyburghJacobszBothaLeRouxKotliaretal.2024, author = {Myburgh-Jacobsz, Catharina Elizabeth and Botha-Le Roux, Shani and Kotliar, Konstantin and Wentzel, Annemarie and Jacobs, Adriaan and De Boever, Patrick and Goswami, Nandu and Strijdom, Hans and Smith, Wayne}, title = {Retinal vessel functional responses in South Africans living with and without HIV: the EndoAfrica-NWU study}, series = {Microcirculation}, journal = {Microcirculation}, number = {Early View}, publisher = {Wiley}, address = {Malden, MA}, issn = {1073-9688 (Print)}, doi = {10.1111/micc.12878}, pages = {11 Seiten}, year = {2024}, language = {en} } @article{FreyerKemptKloeser2024, author = {Freyer, Nils and Kempt, Hendrik and Kl{\"o}ser, Lars}, title = {Easy-read and large language models: on the ethical dimensions of LLM-based text simplification}, series = {Ethics and Information Technology}, volume = {26}, journal = {Ethics and Information Technology}, publisher = {Springer}, address = {Dortrecht}, issn = {1388-1957 (Print)}, doi = {10.1007/s10676-024-09792-4}, pages = {10 Seiten}, year = {2024}, abstract = {The production of easy-read and plain language is a challenging task, requiring well-educated experts to write context-dependent simplifications of texts. Therefore, the domain of easy-read and plain language is currently restricted to the bare minimum of necessary information. Thus, even though there is a tendency to broaden the domain of easy-read and plain language, the inaccessibility of a significant amount of textual information excludes the target audience from partaking or entertainment and restricts their ability to live life autonomously. Large language models can solve a vast variety of natural language tasks, including the simplification of standard language texts to easy-read or plain language. Moreover, with the rise of generative models like GPT, easy-read and plain language may be applicable to all kinds of natural language texts, making formerly inaccessible information accessible to marginalized groups like, a.o., non-native speakers, and people with mental disabilities. In this paper, we argue for the feasibility of text simplification and generation in that context, outline the ethical dimensions, and discuss the implications for researchers in the field of ethics and computer science.}, language = {en} } @article{AkimbekovDigelZhubanovaetal.2024, author = {Akimbekov, Nuraly and Digel, Ilya and Zhubanova, Azhar and Tastambek, Kuanysh T. and Tepecik, Atakan and Sherelkhan, Dinara}, title = {Biotechnological potentials of surfactants in coal utilization: a review}, series = {Environmental Science and Pollution Research}, volume = {31}, journal = {Environmental Science and Pollution Research}, publisher = {Springer}, address = {Berlin}, issn = {1614-7499}, doi = {10.1007/s11356-024-34892-5}, pages = {55099 -- 55118}, year = {2024}, abstract = {The quest for scientifically advanced and sustainable solutions is driven by growing environmental and economic issues associated with coal mining, processing, and utilization. Consequently, within the coal industry, there is a growing recognition of the potential of microbial applications in fostering innovative technologies. Microbial-based coal solubilization, coal beneficiation, and coal dust suppression are green alternatives to traditional thermochemical and leaching technologies and better meet the need for ecologically sound and economically viable choices. Surfactant-mediated approaches have emerged as powerful tools for modeling, simulation, and optimization of coal-microbial systems and continue to gain prominence in clean coal fuel production, particularly in microbiological co-processing, conversion, and beneficiation. Surfactants (surface-active agents) are amphiphilic compounds that can reduce surface tension and enhance the solubility of hydrophobic molecules. A wide range of surfactant properties can be achieved by either directly influencing microbial growth factors, stimulants, and substrates or indirectly serving as frothers, collectors, and modifiers in the processing and utilization of coal. This review highlights the significant biotechnological potential of surfactants by providing a thorough overview of their involvement in coal biodegradation, bioprocessing, and biobeneficiation, acknowledging their importance as crucial steps in coal consumption.}, language = {en} } @book{Heinrichs2024, author = {Heinrichs, Florian}, title = {Algorithmen, Zufall, Unsicherheit - und Pizza!}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-662-69171-7 (Print)}, doi = {10.1007/978-3-662-69172-4}, pages = {X, 191 Seiten}, year = {2024}, abstract = {Dieses Buch l{\"a}dt dazu ein, die Welt um uns herum aus einem neuen Blickwinkel zu betrachten und dabei die spannende Verbindung zwischen der Mathematik und unserem t{\"a}glichen Leben zu entdecken - denn um die Technologien und Entwicklungen unserer modernen Gesellschaft zu verstehen, ben{\"o}tigen wir ein intuitives Verst{\"a}ndnis grundlegender mathematischer Ideen. In diesem Buch geht es um diese Grundlagen, vor allem aber um ihre praktische Anwendung im Alltag: Gemeinsam begeben wir uns auf eine unterhaltsame Reise und entdecken dabei, wie Mathematik in vielf{\"a}ltiger Weise allgegenw{\"a}rtig ist. Anschauliche Beispiele zeigen, wie wir t{\"a}glich - oft unbewusst - mathematische Ideen nutzen und wie wir mit Hilfe von Mathematik bessere Entscheidungen treffen k{\"o}nnen. Nach einer Einf{\"u}hrung in Algorithmen und Optimierungsprobleme, geht es im weiteren Verlauf um die Modellierung von Zufall und Unsicherheiten. Zum Ende des Buchs werden die Themen zusammengef{\"u}hrt und Algorithmen f{\"u}r Anwendungen besprochen, bei denen der Zufall eine entscheidende Rolle spielt.}, language = {de} } @unpublished{BremmBlaneckBornheimetal.2024, author = {Bremm, Florian and Blaneck, Patrick Gustav and Bornheim, Tobias and Grieger, Niklas and Bialonski, Stephan}, title = {Preprint: Detecting sexism in German online newspaper comments with open-source text embeddings}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2403.08592}, pages = {6 Seiten}, year = {2024}, abstract = {Sexism in online media comments is a pervasive challenge that often manifests subtly, complicating moderation efforts as interpretations of what constitutes sexism can vary among individuals. We study monolingual and multilingual open-source text embeddings to reliably detect sexism and misogyny in Germanlanguage online comments from an Austrian newspaper. We observed classifiers trained on text embeddings to mimic closely the individual judgements of human annotators. Our method showed robust performance in the GermEval 2024 GerMS-Detect Subtask 1 challenge, achieving an average macro F1 score of 0.597 (4th place, as reported on Codabench). It also accurately predicted the distribution of human annotations in GerMS-Detect Subtask 2, with an average Jensen-Shannon distance of 0.301 (2nd place). The computational efficiency of our approach suggests potential for scalable applications across various languages and linguistic contexts.}, language = {en} } @article{OrtnerHauserSchmadereretal.2019, author = {Ortner, Marion and Hauser, Christine and Schmaderer, Christoph and Muggenthaler, Claudia and Hapfelmeier, Alexander and Sorg, Christian and Diehl-Schmid, Janine and Kurz, Alexander and F{\"o}rstl, Hans and Ikenberg, Benno and Kotliar, Konstantin and Holger, Poppert and Grimmer, Timo}, title = {Decreased vascular pulsatility in Alzheimer's disease dementia measured by transcranial color-coded duplex sonography}, series = {Neuropsychiatric disease and treatment}, journal = {Neuropsychiatric disease and treatment}, number = {15}, publisher = {Dove Medical Press}, address = {Albany, Auckland}, issn = {1178-2021}, doi = {10.2147/NDT.S225754}, pages = {3487 -- 3499}, year = {2019}, abstract = {Purpose: Impaired paravascular drainage of β-Amyloid (Aβ) has been proposed as a contributing cause for sporadic Alzheimer's disease (AD), as decreased cerebral blood vessel pulsatility and subsequently reduced propulsion in this pathway could lead to the accumulation and deposition of Aβ in the brain. Therefore, we hypothesized that there is an increased impairment in pulsatility across AD spectrum. Patients and Methods: Using transcranial color-coded duplex sonography (TCCS) the resistance and pulsatility index (RI; PI) of the middle cerebral artery (MCA) in healthy controls (HC, n=14) and patients with AD dementia (ADD, n=12) were measured. In a second step, we extended the sample by adding patients with mild cognitive impairment (MCI) stratified by the presence (MCI-AD, n=8) or absence of biomarkers (MCI-nonAD, n=8) indicative for underlying AD pathology, and compared RI and PI across the groups. To control for atherosclerosis as a confounder, we measured the arteriolar-venular-ratio of retinal vessels. Results: Left and right RI (p=0.020; p=0.027) and left PI (p=0.034) differed between HC and ADD controlled for atherosclerosis with AUCs of 0.776, 0.763, and 0.718, respectively. The RI and PI of MCI-AD tended towards ADD, of MCI-nonAD towards HC, respectively. RIs and PIs were associated with disease severity (p=0.010, p=0.023). Conclusion: Our results strengthen the hypothesis that impaired pulsatility could cause impaired amyloid clearance from the brain and thereby might contribute to the development of AD. However, further studies considering other factors possibly influencing amyloid clearance as well as larger sample sizes are needed.}, language = {en} } @article{BandlitzNakhoulKotliar2022, author = {Bandlitz, Stefan and Nakhoul, Makram and Kotliar, Konstantin}, title = {Daily variations of corneal white-to-white diameter measured with different methods}, series = {Clinical and experimental optometry}, journal = {Clinical and experimental optometry}, number = {14}, publisher = {Taylor \& Francis}, address = {London}, issn = {0816-4622}, doi = {10.2147/OPTO.S360651}, pages = {173 -- 181}, year = {2022}, abstract = {Purpose: A precise determination of the corneal diameter is essential for the diagnosis of various ocular diseases, cataract and refractive surgery as well as for the selection and fitting of contact lenses. The aim of this study was to investigate the agreement between two automatic and one manual method for corneal diameter determination and to evaluate possible diurnal variations in corneal diameter. Patients and Methods: Horizontal white-to-white corneal diameter of 20 volunteers was measured at three different fixed times of a day with three methods: Scheimpflug method (Pentacam HR, Oculus), placido based topography (Keratograph 5M, Oculus) and manual method using an image analysis software at a slitlamp (BQ900, Haag-Streit). Results: The two-factorial analysis of variance could not show a significant effect of the different instruments (p = 0.117), the different time points (p = 0.506) and the interaction between instrument and time point (p = 0.182). Very good repeatability (intraclass correlation coefficient ICC, quartile coefficient of dispersion QCD) was found for all three devices. However, manual slitlamp measurements showed a higher QCD than the automatic measurements with the Keratograph 5M and the Pentacam HR at all measurement times. Conclusion: The manual and automated methods used in the study to determine corneal diameter showed good agreement and repeatability. No significant diurnal variations of corneal diameter were observed during the period of time studied.}, language = {en} } @phdthesis{Pettrak2010, author = {Pettrak, J{\"u}rgen}, title = {Nutzung nachwachsender Rohstoffe bei der Herstellung thermoplastischer Elastomere aus Folgeprodukten der Olefinmetathese}, publisher = {Technische Universit{\"a}t M{\"u}nchen}, address = {M{\"u}nchen}, pages = {137 Seiten}, year = {2010}, abstract = {Metathese von {\"O}ls{\"a}ure und Derivaten ist ein interessanter Weg f{\"u}r die Synthese bifunktioneller Verbindungen aus nachwachsenden Rohstoffen. Verwendet wurden Ru-Katalysatoren der zweiten Generation, welche eine hohe Toleranz gegen{\"u}ber funktionellen Gruppen und Verunreinigungen aufweisen. Trotz des Einsatzes technischer Edukte waren Umsetzungen mit niedrigen Katalysatormengen (0.001 - 0.01 mol-\%) m{\"o}glich, mit Ausbeuten entsprechend der Literatur. Kreuzmetathesen erm{\"o}glichten variable Kettenl{\"a}ngen und Funktionalit{\"a}ten der Monomere, die Produktgewinnung ist jedoch aufw{\"a}ndig. Selbstmetathese lieferte C18-bifunktionelle Verbindungen, welche einfach durch Destillation oder Kristallisation isoliert werden k{\"o}nnen. Neben der katalystischen Umsetzung wurde auch die Produktgewinnung untersucht und f{\"u}r ausgew{\"a}hlte Produkte auch im gr{\"o}ßeren Maßstab durchgef{\"u}hrt.}, language = {de} } @article{RieplPettrakFaulstichetal.2010, author = {Riepl, Herbert Matthias and Pettrak, J{\"u}rgen and Faulstich, Martin and Herrmann, Wolfgang Anton}, title = {Self metathesis of fatty alcohols and amines to provide monomers for polyester and polyamide products}, series = {Macromolecular Symposia}, volume = {293}, journal = {Macromolecular Symposia}, number = {1}, publisher = {Wiley-VCH}, address = {Weinheim}, issn = {1521-3900 (eISSN)}, doi = {10.1002/masy.200900041}, pages = {39 -- 42}, year = {2010}, abstract = {Self metathesis of oleochemicals offers a variety of bifunctional compounds, that can be used as monomer for polymer production. Many precursors are in huge scales available, like oleic acid ester (biodiesel), oleyl alcohol (tensides), oleyl amines (tensides, lubricants). We show several ways to produce and separate and purify C18-α,ω-bifunctional compounds, using Grubbs 2nd Generation catalysts, starting from technical grade educts.}, language = {en} } @book{Pettrak2014, author = {Pettrak, J{\"u}rgen}, title = {Nutzung nachwachsender Rohstoffe bei der Herstellung thermoplastischer Elastomere aus Folgeprodukten der Olefinmetathese}, publisher = {Attenkofer}, address = {Straubing}, isbn = {978-3-942742-35-1}, pages = {147 Seiten}, year = {2014}, language = {de} } @article{GrosshauserPettrak2023, author = {Großhauser, Christian and Pettrak, J{\"u}rgen}, title = {Die Rolle des Wasserstoffs in der Abwasserbehandlung}, series = {Wasser und Abfall}, journal = {Wasser und Abfall}, number = {7/8}, publisher = {Springer Fachmedien}, address = {Wiesbaden}, issn = {1436-9095}, doi = {10.1007/s35152-023-1444-4}, year = {2023}, abstract = {Die Bereitstellung von nachhaltig erzeugtem Wasserstoff als Energietr{\"a}ger und Rohstoff ist eine wichtige Schl{\"u}sseltechnologie sowohl als Ersatz f{\"u}r fossile Energietr{\"a}ger, aber auch als Produkt im Zusammenhang mit Kreislaufprozessen. In der Abwasserbehandlung bestehen verschiedene M{\"o}glichkeiten Wasserstoff herzustellen. Mehrere Wege, m{\"o}gliche Synergien, aber auch deren Nachteile werden vorgestellt.}, language = {de} } @inproceedings{MaurerSejdijaSander2024, author = {Maurer, Florian and Sejdija, Jonathan and Sander, Volker}, title = {Decentralized energy data storages through an Open Energy Database Server}, doi = {10.5281/zenodo.10607895}, pages = {5 Seiten}, year = {2024}, abstract = {In the research domain of energy informatics, the importance of open datais rising rapidly. This can be seen as various new public datasets are created andpublished. Unfortunately, in many cases, the data is not available under a permissivelicense corresponding to the FAIR principles, often lacking accessibility or reusability.Furthermore, the source format often differs from the desired data format or does notmeet the demands to be queried in an efficient way. To solve this on a small scale atoolbox for ETL-processes is provided to create a local energy data server with openaccess data from different valuable sources in a structured format. So while the sourcesitself do not fully comply with the FAIR principles, the provided unique toolbox allows foran efficient processing of the data as if the FAIR principles would be met. The energydata server currently includes information of power systems, weather data, networkfrequency data, European energy and gas data for demand and generation and more.However, a solution to the core problem - missing alignment to the FAIR principles - isstill needed for the National Research Data Infrastructure.}, language = {en} } @inproceedings{MaurerNitschKochemsetal.2024, author = {Maurer, Florian and Nitsch, Felix and Kochems, Johannes and Schimeczek, Christoph and Sander, Volker and Lehnhoff, Sebastian}, title = {Know your tools - a comparison of two open agent-based energy market models}, series = {2024 20th International Conference on the European Energy Market (EEM)}, booktitle = {2024 20th International Conference on the European Energy Market (EEM)}, publisher = {IEEE}, address = {New York, NY}, doi = {10.1109/EEM60825.2024.10609021}, pages = {8 Seiten}, year = {2024}, abstract = {Due to the transition to renewable energies, electricity markets need to be made fit for purpose. To enable the comparison of different energy market designs, modeling tools covering market actors and their heterogeneous behavior are needed. Agent-based models are ideally suited for this task. Such models can be used to simulate and analyze changes to market design or market mechanisms and their impact on market dynamics. In this paper, we conduct an evaluation and comparison of two actively developed open-source energy market simulation models. The two models, namely AMIRIS and ASSUME, are both designed to simulate future energy markets using an agent-based approach. The assessment encompasses modelling features and techniques, model performance, as well as a comparison of model results, which can serve as a blueprint for future comparative studies of simulation models. The main comparison dataset includes data of Germany in 2019 and simulates the Day-Ahead market and participating actors as individual agents. Both models are comparable close to the benchmark dataset with a MAE between 5.6 and 6.4 €/MWh while also modeling the actual dispatch realistically.}, language = {en} } @article{KohlKraemerFohryetal.2024, author = {Kohl, Philipp and Kr{\"a}mer, Yoka and Fohry, Claudia and Kraft, Bodo}, title = {Scoping review of active learning strategies and their evaluation environments for entity recognition tasks}, series = {Deep learning theory and applications}, journal = {Deep learning theory and applications}, editor = {Fred, Ana and Hadjali, Allel and Gusikhin, Oleg and Sansone, Carlo}, publisher = {Springer}, address = {Cham}, isbn = {978-3-031-66694-0 (online ISBN)}, doi = {10.1007/978-3-031-66694-0_6}, pages = {84 -- 106}, year = {2024}, abstract = {We conducted a scoping review for active learning in the domain of natural language processing (NLP), which we summarize in accordance with the PRISMA-ScR guidelines as follows: Objective: Identify active learning strategies that were proposed for entity recognition and their evaluation environments (datasets, metrics, hardware, execution time). Design: We used Scopus and ACM as our search engines. We compared the results with two literature surveys to assess the search quality. We included peer-reviewed English publications introducing or comparing active learning strategies for entity recognition. Results: We analyzed 62 relevant papers and identified 106 active learning strategies. We grouped them into three categories: exploitation-based (60x), exploration-based (14x), and hybrid strategies (32x). We found that all studies used the F1-score as an evaluation metric. Information about hardware (6x) and execution time (13x) was only occasionally included. The 62 papers used 57 different datasets to evaluate their respective strategies. Most datasets contained newspaper articles or biomedical/medical data. Our analysis revealed that 26 out of 57 datasets are publicly accessible. Conclusion: Numerous active learning strategies have been identified, along with significant open questions that still need to be addressed. Researchers and practitioners face difficulties when making data-driven decisions about which active learning strategy to adopt. Conducting comprehensive empirical comparisons using the evaluation environment proposed in this study could help establish best practices in the domain.}, language = {en} } @article{MikuckiSchulerDigeletal.2023, author = {Mikucki, Jill Ann and Schuler, C. G. and Digel, Ilya and Kowalski, Julia and Tuttle, M. J. and Chua, Michelle and Davis, R. and Purcell, Alicia and Ghosh, D. and Francke, G. and Feldmann, Marco and Espe, C. and Heinen, Dirk and Dachwald, Bernd and Clemens, Joachim and Lyons, W. B. and Tulaczyk, S.}, title = {Field-Based planetary protection operations for melt probes: validation of clean access into the blood falls, antarctica, englacial ecosystem}, series = {Astrobiology}, volume = {23}, journal = {Astrobiology}, number = {11}, publisher = {Liebert}, address = {New York, NY}, issn = {1557-8070 (online)}, doi = {10.1089/ast.2021.0102}, pages = {1165 -- 1178}, year = {2023}, abstract = {Subglacial environments on Earth offer important analogs to Ocean World targets in our solar system. These unique microbial ecosystems remain understudied due to the challenges of access through thick glacial ice (tens to hundreds of meters). Additionally, sub-ice collections must be conducted in a clean manner to ensure sample integrity for downstream microbiological and geochemical analyses. We describe the field-based cleaning of a melt probe that was used to collect brine samples from within a glacier conduit at Blood Falls, Antarctica, for geomicrobiological studies. We used a thermoelectric melting probe called the IceMole that was designed to be minimally invasive in that the logistical requirements in support of drilling operations were small and the probe could be cleaned, even in a remote field setting, so as to minimize potential contamination. In our study, the exterior bioburden on the IceMole was reduced to levels measured in most clean rooms, and below that of the ice surrounding our sampling target. Potential microbial contaminants were identified during the cleaning process; however, very few were detected in the final englacial sample collected with the IceMole and were present in extremely low abundances (∼0.063\% of 16S rRNA gene amplicon sequences). This cleaning protocol can help minimize contamination when working in remote field locations, support microbiological sampling of terrestrial subglacial environments using melting probes, and help inform planetary protection challenges for Ocean World analog mission concepts.}, language = {en} } @article{AkimbekovDigelTastambeketal.2024, author = {Akimbekov, Nuraly S. and Digel, Ilya and Tastambek, Kuanysh T. and Kozhahmetova, Marzhan and Sherelkhan, Dinara K. and Tauanov, Zhandos}, title = {Hydrogenotrophic methanogenesis in coal-bearing environments: Methane production, carbon sequestration, and hydrogen availability}, series = {International Journal of Hydrogen Energy}, volume = {52}, journal = {International Journal of Hydrogen Energy}, number = {Part D}, publisher = {Elsevier}, address = {New York}, issn = {1879-3487 (online)}, doi = {10.1016/j.ijhydene.2023.09.223}, pages = {1264 -- 1277}, year = {2024}, abstract = {Methane is a valuable energy source helping to mitigate the growing energy demand worldwide. However, as a potent greenhouse gas, it has also gained additional attention due to its environmental impacts. The biological production of methane is performed primarily hydrogenotrophically from H2 and CO2 by methanogenic archaea. Hydrogenotrophic methanogenesis also represents a great interest with respect to carbon re-cycling and H2 storage. The most significant carbon source, extremely rich in complex organic matter for microbial degradation and biogenic methane production, is coal. Although interest in enhanced microbial coalbed methane production is continuously increasing globally, limited knowledge exists regarding the exact origins of the coalbed methane and the associated microbial communities, including hydrogenotrophic methanogens. Here, we give an overview of hydrogenotrophic methanogens in coal beds and related environments in terms of their energy production mechanisms, unique metabolic pathways, and associated ecological functions.}, language = {en} } @article{ZhantlessovaSavitskayaKistaubayevaetal.2024, author = {Zhantlessova, Sirina and Savitskaya, Irina and Kistaubayeva, Aida and Ignatova, Ludmila and Talipova, Aizhan and Pogrebnjak, Alexander and Digel, Ilya}, title = {Correction: Zhantlessova et al. advanced "Green" prebiotic composite of bacterial cellulose/pullulan based on synthetic biology-powered microbial coculture strategy. Polymers 2022, 14, 3224}, series = {Polymers}, volume = {16}, journal = {Polymers}, number = {13}, publisher = {MDPI}, address = {Basel}, issn = {2073-4360}, doi = {10.3390/polym16131802}, pages = {2 Seiten}, year = {2024}, language = {en} } @article{KleefeldPieronek2020, author = {Kleefeld, Andreas and Pieronek, J.}, title = {Elastic transmission eigenvalues and their computation via the method of fundamental solutions}, series = {Applicable Analysis}, volume = {100}, journal = {Applicable Analysis}, number = {16}, publisher = {Taylore \& Francis}, address = {London}, issn = {1563-504X}, doi = {10.1080/00036811.2020.1721473}, pages = {3445 -- 3462}, year = {2020}, abstract = {A stabilized version of the fundamental solution method to catch ill-conditioning effects is investigated with focus on the computation of complex-valued elastic interior transmission eigenvalues in two dimensions for homogeneous and isotropic media. Its algorithm can be implemented very shortly and adopts to many similar partial differential equation-based eigenproblems as long as the underlying fundamental solution function can be easily generated. We develop a corroborative approximation analysis which also implicates new basic results for transmission eigenfunctions and present some numerical examples which together prove successful feasibility of our eigenvalue recovery approach.}, language = {en} } @incollection{AbeleKleefeld2020, author = {Abele, Daniel and Kleefeld, Andreas}, title = {New Numerical Results for the Optimization of Neumann Eigenvalues}, series = {Computational and Analytic Methods in Science and Engineering}, booktitle = {Computational and Analytic Methods in Science and Engineering}, editor = {Constanda, Christian}, publisher = {Birkh{\"a}user}, address = {Cham}, isbn = {978-3-030-48185-8 (Print)}, doi = {10.1007/978-3-030-48186-5_1}, pages = {1 -- 20}, year = {2020}, abstract = {We present new numerical results for shape optimization problems of interior Neumann eigenvalues. This field is not well understood from a theoretical standpoint. The existence of shape maximizers is not proven beyond the first two eigenvalues, so we study the problem numerically. We describe a method to compute the eigenvalues for a given shape that combines the boundary element method with an algorithm for nonlinear eigenvalues. As numerical optimization requires many such evaluations, we put a focus on the efficiency of the method and the implemented routine. The method is well suited for parallelization. Using the resulting fast routines and a specialized parametrization of the shapes, we found improved maxima for several eigenvalues.}, language = {en} } @incollection{PieronekKleefeld2019, author = {Pieronek, Lukas and Kleefeld, Andreas}, title = {The Method of Fundamental Solutions for Computing Interior Transmission Eigenvalues of Inhomogeneous Media}, series = {Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations}, booktitle = {Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations}, editor = {Constanda, Christian and Harris, Paul}, publisher = {Birkh{\"a}user}, address = {Cham}, isbn = {978-3-030-16077-7}, doi = {10.1007/978-3-030-16077-7_28}, pages = {353 -- 365}, year = {2019}, abstract = {The method of fundamental solutions is applied to the approximate computation of interior transmission eigenvalues for a special class of inhomogeneous media in two dimensions. We give a short approximation analysis accompanied with numerical results that clearly prove practical convenience of our alternative approach.}, language = {en} }