@article{AsanteAsamaniKleefeldWade2020, author = {Asante-Asamani, E.O. and Kleefeld, Andreas and Wade, B.A.}, title = {A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting}, series = {Journal of Computational Physics}, volume = {415}, journal = {Journal of Computational Physics}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0021-9991}, doi = {10.1016/j.jcp.2020.109490}, year = {2020}, abstract = {A second-order L-stable exponential time-differencing (ETD) method is developed by combining an ETD scheme with approximating the matrix exponentials by rational functions having real distinct poles (RDP), together with a dimensional splitting integrating factor technique. A variety of non-linear reaction-diffusion equations in two and three dimensions with either Dirichlet, Neumann, or periodic boundary conditions are solved with this scheme and shown to outperform a variety of other second-order implicit-explicit schemes. An additional performance boost is gained through further use of basic parallelization techniques.}, language = {en} } @article{BreussKleefeld2020, author = {Breuß, Michael and Kleefeld, Andreas}, title = {Implicit monotone difference methods for scalar conservation laws with source terms}, series = {Acta Mathematica Vietnamica}, volume = {45}, journal = {Acta Mathematica Vietnamica}, publisher = {Springer Singapore}, address = {Singapore}, issn = {2315-4144}, doi = {10.1007/s40306-019-00354-1}, pages = {709 -- 738}, year = {2020}, abstract = {In this article, a concept of implicit methods for scalar conservation laws in one or more spatial dimensions allowing also for source terms of various types is presented. This material is a significant extension of previous work of the first author (Breuß SIAM J. Numer. Anal. 43(3), 970-986 2005). Implicit notions are developed that are centered around a monotonicity criterion. We demonstrate a connection between a numerical scheme and a discrete entropy inequality, which is based on a classical approach by Crandall and Majda. Additionally, three implicit methods are investigated using the developed notions. Next, we conduct a convergence proof which is not based on a classical compactness argument. Finally, the theoretical results are confirmed by various numerical tests.}, language = {en} } @article{HarrisKleefeld2018, author = {Harris, Isaac and Kleefeld, Andreas}, title = {The inverse scattering problem for a conductive boundary condition and transmission eigenvalues}, series = {Applicable Analysis}, volume = {99}, journal = {Applicable Analysis}, number = {3}, publisher = {Taylor \& Francis}, address = {London}, issn = {1563-504X}, doi = {10.1080/00036811.2018.1504028}, pages = {508 -- 529}, year = {2018}, abstract = {In this paper, we consider the inverse scattering problem associated with an inhomogeneous media with a conductive boundary. In particular, we are interested in two problems that arise from this inverse problem: the inverse conductivity problem and the corresponding interior transmission eigenvalue problem. The inverse conductivity problem is to recover the conductive boundary parameter from the measured scattering data. We prove that the measured scatted data uniquely determine the conductivity parameter as well as describe a direct algorithm to recover the conductivity. The interior transmission eigenvalue problem is an eigenvalue problem associated with the inverse scattering of such materials. We investigate the convergence of the eigenvalues as the conductivity parameter tends to zero as well as prove existence and discreteness for the case of an absorbing media. Lastly, several numerical and analytical results support the theory and we show that the inside-outside duality method can be used to reconstruct the interior conductive eigenvalues.}, language = {en} } @article{FiedlerOrzadaFloeseretal.2021, author = {Fiedler, Thomas M. and Orzada, Stephan and Fl{\"o}ser, Martina and Rietsch, Stefan H. G. and Quick, Harald H. and Ladd, Mark E. and Bitz, Andreas}, title = {Performance analysis of integrated RF microstrip transmit antenna arrays with high channel count for body imaging at 7 T}, series = {NMR in Biomedicine}, volume = {34}, journal = {NMR in Biomedicine}, number = {7}, publisher = {Wiley}, address = {Weinheim}, issn = {0952-3480 (ISSN)}, doi = {10.1002/nbm.4515}, pages = {18 SeitenWiley}, year = {2021}, abstract = {The aim of the current study was to investigate the performance of integrated RF transmit arrays with high channel count consisting of meander microstrip antennas for body imaging at 7 T and to optimize the position and number of transmit ele- ments. RF simulations using multiring antenna arrays placed behind the bore liner were performed for realistic exposure conditions for body imaging. Simulations were performed for arrays with as few as eight elements and for arrays with high channel counts of up to 48 elements. The B1+ field was evaluated regarding the degrees of freedom for RF shimming in the abdomen. Worst-case specific absorption rate (SARwc ), SAR overestimation in the matrix compression, the number of virtual obser- vation points (VOPs) and SAR efficiency were evaluated. Constrained RF shimming was performed in differently oriented regions of interest in the body, and the devia- tion from a target B1+ field was evaluated. Results show that integrated multiring arrays are able to generate homogeneous B1+ field distributions for large FOVs, espe- cially for coronal/sagittal slices, and thus enable body imaging at 7 T with a clinical workflow; however, a low duty cycle or a high SAR is required to achieve homoge- neous B1+ distributions and to exploit the full potential. In conclusion, integrated arrays allow for high element counts that have high degrees of freedom for the pulse optimization but also produce high SARwc , which reduces the SAR accuracy in the VOP compression for low-SAR protocols, leading to a potential reduction in array performance. Smaller SAR overestimations can increase SAR accuracy, but lead to a high number of VOPs, which increases the computational cost for VOP evaluation and makes online SAR monitoring or pulse optimization challenging. Arrays with interleaved rings showed the best results in the study.}, language = {en} } @article{GollandKriegesmann2023, author = {Golland, Alexander and Kriegesmann, Torben}, title = {Zivilprozessuale Fragen zum datenschutzrechtlichen Schadensersatzanspruch}, series = {MMR - Zeitschrift f{\"u}r IT-Recht und Recht der Digitalisierung}, journal = {MMR - Zeitschrift f{\"u}r IT-Recht und Recht der Digitalisierung}, number = {10}, publisher = {Beck}, address = {M{\"u}nchen}, issn = {2698-7988}, pages = {733 -- 739}, year = {2023}, abstract = {Im Verfahren gegen die {\"O}sterreichische Post AG (Rs. C-300/21) befasste sich der EuGH erstmals mit dem in Art. 82 DS-GVO geregelten datenschutzrechtlichen Schadensersatzanspruch. Mit den Klarstellungen des EuGH verschieben sich die Probleme nun st{\"a}rker zu den „klassischen" Fragen des Schadensersatzrechts im Zivilprozess. Relevant sind dabei vor allem Aspekte der Darlegungs- und Beweislast und deren Besonderheiten mit Blick auf den Ersatz immaterieller Sch{\"a}den. Der Beitrag fokussiert sich auf die Voraussetzungen und den dabei zu f{\"u}hrenden Tatsachenbeweis bei der Klage des Betroffenen gegen den Verantwortlichen auf Ersatz immaterieller Sch{\"a}den.}, language = {de} } @article{GollandKelbch2023, author = {Golland, Alexander and Kelbch, Niklas}, title = {Kartellrecht vs. Datenschutzrecht: Rechtsgrundlagen f{\"u}r die Datenverarbeitung in sozialen Netzwerken}, series = {DSB Datenschutz-Berater}, journal = {DSB Datenschutz-Berater}, number = {9}, publisher = {DFV Mediengruppe}, address = {Frankfurt a.M.}, issn = {0170-7256}, pages = {247 -- 249}, year = {2023}, language = {de} } @article{Golland2023, author = {Golland, Alexander}, title = {Kompetenz nationaler Wettbewerbsbeh{\"o}rden zur Feststellung eines Verstoßes gegen die DS-GVO}, series = {MMR - Zeitschrift f{\"u}r IT-Recht und Recht der Digitalisierung}, journal = {MMR - Zeitschrift f{\"u}r IT-Recht und Recht der Digitalisierung}, number = {9}, publisher = {Beck}, address = {M{\"u}nchen}, pages = {680 -- 683}, year = {2023}, language = {de} } @article{Golland2024, author = {Golland, Alexander}, title = {Bußgelder bei Datenschutzverst{\"o}ßen durch Unternehmen}, series = {NJW Neue Juristische Wochenschrift}, journal = {NJW Neue Juristische Wochenschrift}, number = {6}, publisher = {Beck}, address = {M{\"u}nchen}, issn = {0341-1915}, pages = {325 -- 329}, year = {2024}, abstract = {Bald eine Dekade ist es her, dass diese ann{\"a}hernd mantraartig wiederholte Phrase Unternehmen zur Umsetzung datenschutzrechtlicher Vorgaben incentivierte. Was ist davon geblieben? Nur wenige in Deutschland verh{\"a}ngte Bußgelder erreichten Millionenh{\"o}he. Hintergrund ist (auch) das deutsche Ordnungswidrigkeitenrecht, welches in einem Spannungsverh{\"a}ltnis zu den Vorgaben der DS-GVO steht. Ein Bußgeldbescheid der Berliner Datenschutzaufsicht gegen die Deutsche Wohnen sollte Ausl{\"o}ser eines langen, fortdauernden Rechtsstreits werden. Auf Vorlage des KG hatte der EuGH in der Rechtssache C-807/21 („Deutsche Wohnen") erstmals Gelegenheit, sich zur Frage der Bußgeldhaftung zu positionieren.}, language = {de} } @article{Golland2024, author = {Golland, Alexander}, title = {Datenschutz beim Einsatz k{\"u}nstlicher Intelligenz im Unternehmen}, series = {NWB}, journal = {NWB}, number = {6}, publisher = {NWB}, address = {Herne}, issn = {0028-3460}, pages = {425 -- 432}, year = {2024}, abstract = {Seit Ende 2022 pr{\"a}gt das Schlagwort „K{\"u}nstliche Intelligenz" (KI) nicht nur den rechtswissenschaftlichen Diskurs. Die allgemeine Verf{\"u}gbarkeit von generativen KI-Modellen, allen voran die großen Sprachmodelle (Large Language Models, kurz: LLM) wie ChatGPT von OpenAI oder Bing AI von Microsoft, erfreuen sich gr{\"o}ßter Beliebtheit: LLM sind in der Lage, auf Grundlage statistischer Methoden - eine entsprechende Schnittstelle (Interface) vorausgesetzt - auch technisch wenig versierten Nutzern verst{\"a}ndliche Antworten auf ihre Fragen zu liefern. Dabei werden nicht nur umfassend Nutzerdaten verarbeitet, sondern auch auf weitere personenbezogene Daten zugegriffen sowie neue Daten erzeugt. Der Beitrag geht der Frage nach, welche spezifischen datenschutzrechtlichen Herausforderungen sich f{\"u}r Unternehmen beim Einsatz solcher LLM stellen.}, language = {de} } @article{GollandSchroeer2024, author = {Golland, Alexander and Schr{\"o}er, Jan-Erik}, title = {No risk, no fun? Ber{\"u}cksichtigung datenschutzrechtlicher Risiken im Vergabeverfahren}, series = {DSB Datenschutz-Berater}, journal = {DSB Datenschutz-Berater}, number = {5}, publisher = {DFV Mediengruppe}, address = {Frankfurt a.M.}, isbn = {0170-7256}, issn = {No risk, no fun? Ber{\"u}cksichtigung datenschutzrechtlicher Risiken im Vergabeverfahren}, pages = {114 -- 117}, year = {2024}, language = {de} }