@article{Dachwald2005, author = {Dachwald, Bernd}, title = {Optimal Solar Sail Trajectories for Missions to the Outer Solar System}, series = {Journal of guidance, control, and dynamics. 28 (2005), H. 6}, journal = {Journal of guidance, control, and dynamics. 28 (2005), H. 6}, isbn = {0162-3192}, pages = {1187 -- 1193}, year = {2005}, language = {en} } @article{Dachwald2005, author = {Dachwald, Bernd}, title = {Optimization of very-low-thrust trajectories using evolutionary neurocontrol}, series = {Acta Astronautica. 57 (2005), H. 2-8}, journal = {Acta Astronautica. 57 (2005), H. 2-8}, isbn = {0094-5765}, pages = {175 -- 185}, year = {2005}, language = {en} } @article{Dachwald2004, author = {Dachwald, Bernd}, title = {Optimal Solar Sail Trajectories for Missions to the Outer Solar System}, series = {22nd AIAA Applied Aerodynamics Conference and Exhibit - AIAA/AAS Astrodynamics Specialist Conference and Exhibit - AIAA Guidance, Navigation, and Control Conference and Exhibit - AIAA Modeling and Simulation Technologies Conference and Exhibit - AIAA Atmospheric Flight Mechanics Conference and Exhibit : 16 - 19 August 2004, Providence, Rhode Island / American Institute of Aeronautics and Astronautics. - (AIAA meeting papers on disc ; 2004,14-15)}, journal = {22nd AIAA Applied Aerodynamics Conference and Exhibit - AIAA/AAS Astrodynamics Specialist Conference and Exhibit - AIAA Guidance, Navigation, and Control Conference and Exhibit - AIAA Modeling and Simulation Technologies Conference and Exhibit - AIAA Atmospheric Flight Mechanics Conference and Exhibit : 16 - 19 August 2004, Providence, Rhode Island / American Institute of Aeronautics and Astronautics. - (AIAA meeting papers on disc ; 2004,14-15)}, publisher = {American Inst. of Aeronautics and Astronautics}, address = {Reston, Va.}, pages = {2 CD-ROMs}, year = {2004}, language = {en} } @article{Dachwald2003, author = {Dachwald, Bernd}, title = {Verwendung eines neuronalen Reglers und evolution{\"a}rer Algorithmen zur Berechnung optimaler interplanetarer Sonnenseglerbahnen}, series = {Deutscher Luft- und Raumfahrtkongress 2003 : M{\"u}nchen, 17. bis 20. November 2003, Motto: 100 Jahre Motorflug - 112 Jahre Menschenflug: Visionen gestalten Zukunft / Deutsche Gesellschaft f{\"u}r Luft- und Raumfahrt - Lilienthal-Oberth e.V. (DGLR). [Red.: Peter Brandt (verantwortlich)]. - Bd. 1. - (Jahrbuch ... der Deutschen Gesellschaft f{\"u}r Luft- und Raumfahrt)}, journal = {Deutscher Luft- und Raumfahrtkongress 2003 : M{\"u}nchen, 17. bis 20. November 2003, Motto: 100 Jahre Motorflug - 112 Jahre Menschenflug: Visionen gestalten Zukunft / Deutsche Gesellschaft f{\"u}r Luft- und Raumfahrt - Lilienthal-Oberth e.V. (DGLR). [Red.: Peter Brandt (verantwortlich)]. - Bd. 1. - (Jahrbuch ... der Deutschen Gesellschaft f{\"u}r Luft- und Raumfahrt)}, address = {Bonn}, pages = {211 -- 218}, year = {2003}, language = {de} } @article{Dachwald2004, author = {Dachwald, Bernd}, title = {Low-Thrust Trajectory Optimization and Interplanetary Mission Analysis Using Evolutionary Neurocontrol}, series = {Deutscher Luft- und Raumfahrtkongress 2004 : Dresden, 20. bis 23. September 2004, Motto: Luft- und Raumfahrt - Br{\"u}cke f{\"u}r eine wissensbasierte Gesellschaft / Deutsche Gesellschaft f{\"u}r Luft- und Raumfahrt - Lilienthal-Oberth e.V. (DGLR). [Red.: Peter Brandt (verantwortlich)]. - Bd. 2. - (Jahrbuch ... der Deutschen Gesellschaft f{\"u}r Luft- und Raumfahrt)}, journal = {Deutscher Luft- und Raumfahrtkongress 2004 : Dresden, 20. bis 23. September 2004, Motto: Luft- und Raumfahrt - Br{\"u}cke f{\"u}r eine wissensbasierte Gesellschaft / Deutsche Gesellschaft f{\"u}r Luft- und Raumfahrt - Lilienthal-Oberth e.V. (DGLR). [Red.: Peter Brandt (verantwortlich)]. - Bd. 2. - (Jahrbuch ... der Deutschen Gesellschaft f{\"u}r Luft- und Raumfahrt)}, address = {Bonn}, pages = {917 -- 926}, year = {2004}, language = {en} } @article{CzupallaHorneckBlome2005, author = {Czupalla, Markus and Horneck, G. and Blome, Hans-Joachim}, title = {The conceptual design of a hybrid life support system based on the evaluation and comparison of terrestrial testbeds}, series = {Advances in Space Research}, volume = {35}, journal = {Advances in Space Research}, number = {9}, isbn = {0273-1177}, pages = {1609 -- 1620}, year = {2005}, language = {en} } @article{CzarneckiWinkelmannSpiliopoulou2013, author = {Czarnecki, Christian and Winkelmann, Axel and Spiliopoulou, Myra}, title = {Referenzprozessabl{\"a}ufe f{\"u}r Telekommunikationsunternehmen: Eine Erweiterung des eTOM-Modells}, series = {Wirtschaftsinformatik}, volume = {55}, journal = {Wirtschaftsinformatik}, number = {2}, publisher = {Springer Fachmedien}, address = {Wiesbaden}, issn = {1861-8936}, doi = {10.1007/s11576-013-0351-9}, pages = {83 -- 97}, year = {2013}, abstract = {Der Telekommunikationsmarkt erf{\"a}hrt substanzielle Ver{\"a}nderungen. Neue Gesch{\"a}ftsmodelle, innovative Dienstleistungen und Technologien erfordern Reengineering, Transformation und Prozessstandardisierung. Mit der Enhanced Telecom Operation Map (eTOM) bietet das TM Forum ein international anerkanntes de facto Referenz-Prozess-Framework basierend auf spezifischen Anforderungen und Auspr{\"a}gungen der Telekommunikationsindustrie an. Allerdings enth{\"a}lt dieses Referenz-Framework nur eine hierarchische Sammlung von Prozessen auf unterschiedlichen Abstraktionsebenen. Eine Kontrollsicht verstanden als sequenzielle Anordnung von Aktivit{\"a}ten und daraus resultierend ein realer Prozessablauf fehlt ebenso wie eine Ende-zu-Ende-Sicht auf den Kunden. In diesem Artikel erweitern wir das eTOM-Referenzmodell durch Referenzprozessabl{\"a}ufe, in welchen wir das Wissen {\"u}ber Prozesse in Telekommunikationsunternehmen abstrahieren und generalisieren. Durch die Referenzprozessabl{\"a}ufe werden Unternehmen bei dem strukturierten und transparenten (Re-)Design ihrer Prozesse unterst{\"u}tzt. Wir demonstrieren die Anwendbarkeit und N{\"u}tzlichkeit unserer Referenzprozessabl{\"a}ufe in zwei Fallstudien und evaluieren diese anhand von Kriterien f{\"u}r die Bewertung von Referenzmodellen. Die Referenzprozessabl{\"a}ufe wurden vom TM Forum in den Standard aufgenommen und als Teil von eTOM Version 9 ver{\"o}ffentlicht. Dar{\"u}ber hinaus diskutieren wir die Komponenten unseres Ansatzes, die auch außerhalb der Telekommunikationsindustrie angewandt werden k{\"o}nnen.}, language = {de} } @article{CzarneckiWinkelmannSpiliopoulou2010, author = {Czarnecki, Christian and Winkelmann, Axel and Spiliopoulou, Myra}, title = {Services in electronic telecommunication markets: a framework for planning the virtualization of processes}, series = {Electronic Markets}, volume = {20}, journal = {Electronic Markets}, number = {3-4}, publisher = {Springer}, address = {Berlin}, issn = {1422-8890}, doi = {10.1007/s12525-010-0045-8}, pages = {197 -- 207}, year = {2010}, abstract = {The potential of electronic markets in enabling innovative product bundles through flexible and sustainable partnerships is not yet fully exploited in the telecommunication industry. One reason is that bundling requires seamless de-assembling and re-assembling of business processes, whilst processes in telecommunication companies are often product-dependent and hard to virtualize. We propose a framework for the planning of the virtualization of processes, intended to assist the decision maker in prioritizing the processes to be virtualized: (a) we transfer the virtualization pre-requisites stated by the Process Virtualization Theory in the context of customer-oriented processes in the telecommunication industry and assess their importance in this context, (b) we derive IT-oriented requirements for the removal of virtualization barriers and highlight their demand on changes at different levels of the organization. We present a first evaluation of our approach in a case study and report on lessons learned and further steps to be performed.}, language = {en} } @article{CzarneckiSpiliopoulou2012, author = {Czarnecki, Christian and Spiliopoulou, Myra}, title = {A holistic framework for the implementation of a next generation network}, series = {International Journal of Business Information Systems}, volume = {9}, journal = {International Journal of Business Information Systems}, number = {4}, publisher = {Inderscience Enterprises}, address = {Olney, Bucks}, issn = {1746-0972}, doi = {10.1504/IJBIS.2012.046291}, pages = {385 -- 401}, year = {2012}, abstract = {As the potential of a next generation network (NGN) is recognised, telecommunication companies consider switching to it. Although the implementation of an NGN seems to be merely a modification of the network infrastructure, it may trigger or require changes in the whole company, because it builds upon the separation between service and transport, a flexible bundling of services to products and the streamlining of the IT infrastructure. We propose a holistic framework, structured into the layers 'strategy', 'processes' and 'information systems' and incorporate into each layer all concepts necessary for the implementation of an NGN, as well as the alignment of these concepts. As a first proof-of-concept for our framework we have performed a case study on the introduction of NGN in a large telecommunication company; we show that our framework captures all topics that are affected by an NGN implementation.}, language = {en} } @article{CzarneckiHeuserKraemeretal.2006, author = {Czarnecki, Christian and Heuser, Marcus and Kr{\"a}mer, Christian and Stummer, Christoph and Theisinger, Felix and Wettklo, Michael}, title = {How to get more customer satisfaction : Erfolg im Wettbewerb durch kundenzentrierte Prozesse}, series = {Detecon Management Report}, journal = {Detecon Management Report}, number = {3}, publisher = {Detecon Internat. GmbH}, address = {Eschborn}, issn = {1867-3147}, pages = {29 -- 33}, year = {2006}, abstract = {Unternehmen sind in der Regel {\"u}berzeugt, dass sie die Bed{\"u}rfnisse ihrer Kunden in den Mittelpunkt stellen. Aber in der direkten Interaktion mit dem Kunden zeigen sie h{\"a}ufig Schw{\"a}chen. Der folgende Beitrag illustriert, wie durch eine konsequente Ausrichtung der Wertsch{\"o}pfungsprozesse auf die zentralen Kundenbed{\"u}rfnisse ein Dreifacheffekt erzielt werden kann: Nachhaltig erh{\"o}hte Kundenzufriedenheit, gesteigerte Effizienz und eine Differenzierung im Wettbewerb.}, language = {de} } @article{CzarneckiGeierPflug2017, author = {Czarnecki, Christian and Geier, Jari and Pflug, Karolin}, title = {Netzvirtualisierung durch SDN und NFV : Unternehmensprozesse auf dem Pr{\"u}fstand}, series = {LANline}, journal = {LANline}, publisher = {AWI Aktuelles Wissen Verl.-Ges.}, address = {Trostberg}, issn = {0942-4172}, year = {2017}, abstract = {Kundenanforderungen an Netzwerke haben sich in den vergangenen Jahren stark ver{\"a}ndert. Mit NFV und SDN sind Unternehmen technisch in der Lage, diesen gerecht zu werden. Die Provider stehen jedoch vor großen Herausforderungen: Insbesondere Produkte und Prozesse m{\"u}ssen angepasst und agiler werden, um die St{\"a}rken von NFV und SDN zum Kundenvorteil auszuspielen.}, language = {de} } @article{CzarneckiDietze2020, author = {Czarnecki, Christian and Dietze, Christian}, title = {Gestaltungsorientierte Forschung am Beispiel der Referenzmodellierung in der Telekommunikationsindustrie}, series = {HMD Praxis der Wirtschaftsinformatik}, volume = {57}, journal = {HMD Praxis der Wirtschaftsinformatik}, number = {2}, publisher = {Springer Nature}, address = {Cham}, issn = {2198-2775}, doi = {10.1365/s40702-020-00594-y}, pages = {310 -- 323}, year = {2020}, abstract = {Am Beispiel der Telekommunikationsindustrie zeigt der Beitrag eine konkrete Ausgestaltung anwendungsorientierter Forschung, die sowohl f{\"u}r die Praxis als auch f{\"u}r die Wissenschaft nutzen- und erkenntnisbringend ist. Forschungsgegenstand sind die Referenzmodelle des Industriegremiums TM Forum, die von vielen Telekommunikationsunternehmen zur Transformation ihrer Strukturen und Systeme genutzt werden. Es wird die langj{\"a}hrige Forschungst{\"a}tigkeit bei der Weiterentwicklung und Anwendung dieser Referenzmodelle beschrieben. Dabei wird ein konsequent gestaltungsorientierter Forschungsansatz verfolgt. Das Zusammenspiel aus kontinuierlicher Weiterentwicklung in Zusammenarbeit mit einem Industriegremium und der Anwendung in vielf{\"a}ltigen Praxisprojekten f{\"u}hrt zu einer erfolgreichen Symbiose aus praktischer Nutzengenerierung sowie wissenschaftlichem Erkenntnisgewinn. Der Beitrag stellt den gew{\"a}hlten Forschungsansatz anhand konkreter Beispiele vor. Darauf basierend werden Empfehlungen und Herausforderungen f{\"u}r eine gestaltungs- und praxisorientierte Forschung diskutiert.}, language = {de} } @article{CzarneckiBensbergAuth2019, author = {Czarnecki, Christian and Bensberg, Frank and Auth, Gunnar}, title = {Die Rolle von Softwarerobotern f{\"u}r die zuk{\"u}nftige Arbeitswelt}, series = {HMD Praxis der Wirtschaftsinformatik}, volume = {56}, journal = {HMD Praxis der Wirtschaftsinformatik}, number = {4}, publisher = {Springer}, address = {Cham}, issn = {2198-2775}, doi = {10.1365/s40702-019-00548-z}, pages = {795 -- 808}, year = {2019}, abstract = {Im Rahmen der Digitalisierung ist die zunehmende Automatisierung von bisher manuellen Prozessschritten ein Aspekt, der massive Auswirkungen auf die zuk{\"u}nftige Arbeitswelt haben wird. In diesem Kontext werden an den Einsatz von Softwarerobotern zur Prozessautomatisierung hohe Erwartungen gekn{\"u}pft. Bei den Implementierungsans{\"a}tzen wird die Diskussion aktuell insbesondere durch Robotic Process Automation (RPA) und Chatbots gepr{\"a}gt. Beide Ans{\"a}tze verfolgen das gemeinsame Ziel einer 1:1-Automatisierung von menschlichen Handlungen und dadurch ein direktes Ersetzen von Mitarbeitern durch Maschinen. Bei RPA werden Prozesse durch Softwareroboter erlernt und automatisiert ausgef{\"u}hrt. Dabei emulieren RPA-Roboter die Eingaben auf der bestehenden Pr{\"a}sentationsschicht, so dass keine {\"A}nderungen an vorhandenen Anwendungssystemen notwendig sind. Am Markt werden bereits unterschiedliche RPA-L{\"o}sungen als Softwareprodukte angeboten. Durch Chatbots werden Ein- und Ausgaben von Anwendungssystemen {\"u}ber nat{\"u}rliche Sprache realisiert. Dadurch ist die Automatisierung von unternehmensexterner Kommunikation (z. B. mit Kunden) aber auch von unternehmensinternen Assistenzt{\"a}tigkeiten m{\"o}glich. Der Beitrag diskutiert die Auswirkungen von Softwarerobotern auf die Arbeitswelt anhand von Anwendungsbeispielen und erl{\"a}utert die unternehmensindividuelle Entscheidung {\"u}ber den Einsatz von Softwarerobotern anhand von Effektivit{\"a}ts- und Effizienzzielen.}, language = {de} } @article{Czarnecki2015, author = {Czarnecki, Christian}, title = {Moderne Telekommunikationsprodukte erfordern standardisierte Gesch{\"a}ftsprozesse}, series = {Wirtschaft und Wissenschaft}, journal = {Wirtschaft und Wissenschaft}, number = {2}, publisher = {Deutsche Telekom AG. Fachhochschule Leipzig}, address = {Leipzig}, pages = {7 -- 7}, year = {2015}, language = {de} } @article{CosmaKesslerGebhardtetal.2020, author = {Cosma, Cosmin and Kessler, Julia and Gebhardt, Andreas and Campbell, Ian and Balc, Nicolae}, title = {Improving the Mechanical Strength of Dental Applications and Lattice Structures SLM Processed}, series = {Materials}, volume = {13}, journal = {Materials}, number = {4}, publisher = {MDPI}, address = {Basel}, issn = {1996-1944}, doi = {10.3390/ma13040905}, pages = {1 -- 18}, year = {2020}, abstract = {To manufacture custom medical parts or scaffolds with reduced defects and high mechanical characteristics, new research on optimizing the selective laser melting (SLM) parameters are needed. In this work, a biocompatible powder, 316L stainless steel, is characterized to understand the particle size, distribution, shape and flowability. Examination revealed that the 316L particles are smooth, nearly spherical, their mean diameter is 39.09 μm and just 10\% of them hold a diameter less than 21.18 μm. SLM parameters under consideration include laser power up to 200 W, 250-1500 mm/s scanning speed, 80 μm hatch spacing, 35 μm layer thickness and a preheated platform. The effect of these on processability is evaluated. More than 100 samples are SLM-manufactured with different process parameters. The tensile results show that is possible to raise the ultimate tensile strength up to 840 MPa, adapting the SLM parameters for a stable processability, avoiding the technological defects caused by residual stress. Correlating with other recent studies on SLM technology, the tensile strength is 20\% improved. To validate the SLM parameters and conditions established, complex bioengineering applications such as dental bridges and macro-porous grafts are SLM-processed, demonstrating the potential to manufacture medical products with increased mechanical resistance made of 316L.}, language = {en} } @article{CornelisGivanoudiYongabietal.2019, author = {Cornelis, Peter and Givanoudi, Stella and Yongabi, Derick and Iken, Heiko and Duw{\´e}, Sam and Deschaume, Olivier and Robbens, Johan and Dedecker, Peter and Bartic, Carmen and W{\"u}bbenhorst, Michael and Sch{\"o}ning, Michael Josef and Heyndrickx, Marc and Wagner, Patrick}, title = {Sensitive and specific detection of E. coli using biomimetic receptors in combination with a modified heat-transfer method}, series = {Biosensors and Bioelectronics}, volume = {136}, journal = {Biosensors and Bioelectronics}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0956-5663}, doi = {10.1016/j.bios.2019.04.026}, pages = {97 -- 105}, year = {2019}, language = {en} } @article{ConzenAlbannaWeissetal.2018, author = {Conzen, Catharina and Albanna, Walid and Weiss, Miriam and K{\"u}rten, David and Vilser, Walthard and Kotliar, Konstantin and Z{\"a}ske, Charlotte and Clusmann, Hans and Schubert, Gerrit Alexander}, title = {Vasoconstriction and Impairment of Neurovascular Coupling after Subarachnoid Hemorrhage: a Descriptive Analysis of Retinal Changes}, series = {Translational Stroke Research}, journal = {Translational Stroke Research}, number = {9}, publisher = {Springer Nature}, address = {Cham}, issn = {1868-601X}, doi = {10.1007/s12975-017-0585-8}, pages = {284 -- 293}, year = {2018}, abstract = {Impaired cerebral autoregulation and neurovascular coupling (NVC) contribute to delayed cerebral ischemia after subarachnoid hemorrhage (SAH). Retinal vessel analysis (RVA) allows non-invasive assessment of vessel dimension and NVC hereby demonstrating a predictive value in the context of various neurovascular diseases. Using RVA as a translational approach, we aimed to assess the retinal vessels in patients with SAH. RVA was performed prospectively in 24 patients with acute SAH (group A: day 5-14), in 11 patients 3 months after ictus (group B: day 90 ± 35), and in 35 age-matched healthy controls (group C). Data was acquired using a Retinal Vessel Analyzer (Imedos Systems UG, Jena) for examination of retinal vessel dimension and NVC using flicker-light excitation. Diameter of retinal vessels—central retinal arteriolar and venular equivalent—was significantly reduced in the acute phase (p < 0.001) with gradual improvement in group B (p < 0.05). Arterial NVC of group A was significantly impaired with diminished dilatation (p < 0.001) and reduced area under the curve (p < 0.01) when compared to group C. Group B showed persistent prolonged latency of arterial dilation (p < 0.05). Venous NVC was significantly delayed after SAH compared to group C (A p < 0.001; B p < 0.05). To our knowledge, this is the first clinical study to document retinal vasoconstriction and impairment of NVC in patients with SAH. Using non-invasive RVA as a translational approach, characteristic patterns of compromise were detected for the arterial and venous compartment of the neurovascular unit in a time-dependent fashion. Recruitment will continue to facilitate a correlation analysis with clinical course and outcome.}, language = {en} } @article{ColomboDriraFrotscheretal.2022, author = {Colombo, Daniele and Drira, Slah and Frotscher, Ralf and Staat, Manfred}, title = {An element-based formulation for ES-FEM and FS-FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis}, series = {International Journal for Numerical Methods in Engineering}, volume = {124}, journal = {International Journal for Numerical Methods in Engineering}, number = {2}, publisher = {Wiley}, address = {Chichester}, issn = {1097-0207}, doi = {10.1002/nme.7126}, pages = {402 -- 433}, year = {2022}, abstract = {Edge-based and face-based smoothed finite element methods (ES-FEM and FS-FEM, respectively) are modified versions of the finite element method allowing to achieve more accurate results and to reduce sensitivity to mesh distortion, at least for linear elements. These properties make the two methods very attractive. However, their implementation in a standard finite element code is nontrivial because it requires heavy and extensive modifications to the code architecture. In this article, we present an element-based formulation of ES-FEM and FS-FEM methods allowing to implement the two methods in a standard finite element code with no modifications to its architecture. Moreover, the element-based formulation permits to easily manage any type of element, especially in 3D models where, to the best of the authors' knowledge, only tetrahedral elements are used in FS-FEM applications found in the literature. Shape functions for non-simplex 3D elements are proposed in order to apply FS-FEM to any standard finite element.}, language = {en} } @article{CollPeralesSchulteTiggesRondinoneetal.2022, author = {Coll-Perales, Baldomero and Schulte-Tigges, Joschua and Rondinone, Michele and Gozalvez, Javier and Reke, Michael and Matheis, Dominik and Walter, Thomas}, title = {Prototyping and evaluation of infrastructure-assisted transition of control for cooperative automated vehicles}, series = {IEEE Transactions on Intelligent Transportation Systems}, volume = {23}, journal = {IEEE Transactions on Intelligent Transportation Systems}, number = {7}, publisher = {IEEE}, issn = {1524-9050 (Print)}, doi = {10.1109/TITS.2021.3061085}, pages = {6720 -- 6736}, year = {2022}, abstract = {Automated driving is now possible in diverse road and traffic conditions. However, there are still situations that automated vehicles cannot handle safely and efficiently. In this case, a Transition of Control (ToC) is necessary so that the driver takes control of the driving. Executing a ToC requires the driver to get full situation awareness of the driving environment. If the driver fails to get back the control in a limited time, a Minimum Risk Maneuver (MRM) is executed to bring the vehicle into a safe state (e.g., decelerating to full stop). The execution of ToCs requires some time and can cause traffic disruption and safety risks that increase if several vehicles execute ToCs/MRMs at similar times and in the same area. This study proposes to use novel C-ITS traffic management measures where the infrastructure exploits V2X communications to assist Connected and Automated Vehicles (CAVs) in the execution of ToCs. The infrastructure can suggest a spatial distribution of ToCs, and inform vehicles of the locations where they could execute a safe stop in case of MRM. This paper reports the first field operational tests that validate the feasibility and quantify the benefits of the proposed infrastructure-assisted ToC and MRM management. The paper also presents the CAV and roadside infrastructure prototypes implemented and used in the trials. The conducted field trials demonstrate that infrastructure-assisted traffic management solutions can reduce safety risks and traffic disruptions.}, language = {en} } @article{ClausnitzerKleefeld2024, author = {Clausnitzer, Julian and Kleefeld, Andreas}, title = {A spectral Galerkin exponential Euler time-stepping scheme for parabolic SPDEs on two-dimensional domains with a C² boundary}, series = {Discrete and Continuous Dynamical Systems - Series B}, volume = {29}, journal = {Discrete and Continuous Dynamical Systems - Series B}, number = {4}, publisher = {AIMS}, address = {Springfield}, issn = {1531-3492}, doi = {10.3934/dcdsb.2023148}, pages = {1624 -- 1651}, year = {2024}, abstract = {We consider the numerical approximation of second-order semi-linear parabolic stochastic partial differential equations interpreted in the mild sense which we solve on general two-dimensional domains with a C² boundary with homogeneous Dirichlet boundary conditions. The equations are driven by Gaussian additive noise, and several Lipschitz-like conditions are imposed on the nonlinear function. We discretize in space with a spectral Galerkin method and in time using an explicit Euler-like scheme. For irregular shapes, the necessary Dirichlet eigenvalues and eigenfunctions are obtained from a boundary integral equation method. This yields a nonlinear eigenvalue problem, which is discretized using a boundary element collocation method and is solved with the Beyn contour integral algorithm. We present an error analysis as well as numerical results on an exemplary asymmetric shape, and point out limitations of the approach.}, language = {en} }