TY - JOUR A1 - Diethelm, Kai ED - Altenbach, Holm ED - Öchsner, Andreas T1 - Numerical Methods for the Fractional Differential Equations of Viscoelasticity JF - Encyclopedia of Continuum Mechanics N2 - Mathematical models based on differential operators of fractional order have proven to be very useful for describing the properties of viscoelastic materials. However, the associated differential equations can usually not be solved analytically. In this article, we provide a survey of the most important numerical methods. We restrict our attention to those types of fractional differential equations that are most important in the context of viscoelasticity, i.e., we discuss numerical methods for ordinary fractional differential equations and for certain types of time-fractional partial differential equations. Space-fractional partial differential equations are not discussed. Y1 - 2018 SN - 978-3-662-53605-6 U6 - https://doi.org/10.1007/978-3-662-53605-6_89-1 SP - 1 EP - 12 PB - Springer CY - Berlin ER - TY - CHAP A1 - Diethelm, Kai ED - Karniadakis, George Em T1 - Fundamental approaches for the numerical handling of fractional operators and time-fractional differential equations T2 - Handbook of Fractional Calculus with Applications, Vol. 3: Numerical Methods N2 - This article describes fundamental approaches for the numerical handling of problems arising in fractional calculus. This includes, in particular, methods for approximately computing fractional integrals and fractional derivatives, where the emphasis is placed on Caputo operators, as well as solvers for the associated differential and integral equations. Y1 - 2019 U6 - https://doi.org/10.1515/9783110571684-001 SP - 1 EP - 22 PB - De Gruyter CY - Berlin ER - TY - CHAP A1 - Diethelm, Kai ED - Cardone, Angelamaria ED - Donatelli, Marco ED - Durastante, Fabio ED - Garrappa, Roberto ED - Mazza, Mariarosa ED - Popolizio, Marina T1 - A New Diffusive Representation for Fractional Derivatives, Part I: Construction, Implementation and Numerical Examples T2 - Fractional Differential Equations: Modeling, Discretization, and Numerical Solvers N2 - Diffusive representations of fractional derivatives have proven to be useful tools in the construction of fast and memory efficient numerical methods for solving fractional differential equations. A common challenge in many of the known variants of this approach is that they require the numerical approximation of some integrals over an unbounded integral whose integrand decays rather slowly, which implies that their numerical handling is difficult and costly. We present a novel variant of such a diffusive representation. This form also requires the numerical approximation of an integral over an unbounded domain, but the integrand decays much faster. This property allows to use well established quadrature rules with much better convergence properties. Y1 - 2023 SN - 978-981-19-7715-2 SN - 978-981-19-7716-9 U6 - https://doi.org/10.1007/978-981-19-7716-9_1 SP - 1 EP - 15 PB - Springer CY - Singapore ER - TY - CHAP A1 - Diethelm, Kai T1 - Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials T2 - 2021 9th International Conference on Systems and Control (ICSC) N2 - Fractional order models have proven to be a very useful tool for the modeling of the mechanical behaviour of viscoelastic materials. Traditional numerical solution methods exhibit various undesired properties due to the non-locality of the fractional differential operators, in particular regarding the high computational complexity and the high memory requirements. The infinite state representation is an approach on which one can base numerical methods that overcome these obstacles. Such algorithms contain a number of parameters that influence the final result in nontrivial ways. Based on numerical experiments, we initiate a study leading to good choices of these parameters. Y1 - 2021 U6 - https://doi.org/10.1109/ICSC50472.2021.9666636 SP - 455 EP - 460 PB - IEEE ER - TY - JOUR A1 - Diethelm, Kai A1 - Kitzing, Konrad A1 - Picard, Rainer A1 - Siegmund, Stefan A1 - Trostorff, Sascha A1 - Waurick, Marcus T1 - A Hilbert Space Approach to Fractional Differential Equations JF - Journal of Dynamics and Differential Equations N2 - We study fractional differential equations of Riemann–Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on R, we define fractional operators by means of a functional calculus using the Fourier transform. Main tools are extrapolation- and interpolation spaces. Main results are the existence and uniqueness of solutions and the causality of solution operators for non-linear fractional differential equations. Y1 - 2022 U6 - https://doi.org/10.1007/s10884-020-09932-6 VL - 34 SP - 481 EP - 504 ER - TY - JOUR A1 - Damelin, Steven B. A1 - Diethelm, Kai T1 - An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ JF - Numerical Functional Analysis and Optimization N2 - This article concerns an analytic and numerical analysis of a class of weighted singular Cauchy integrals with exponential weights w:= exp (−Q) with finite moments and with smooth external fields Q:R→[0,∞), with varying smooth convex rate of increase for large argument. Our analysis relies in part on weighted polynomial interpolation at the zeros of orthonormal polynomials with respect to w2. We also study bounds for the first derivatives of a class of functions of the second kind for w2. Y1 - 2022 U6 - https://doi.org/10.1080/01630563.2022.2112051 VL - 43 IS - 13 SP - 1538 EP - 1577 ER - TY - JOUR A1 - Diethelm, Kai T1 - A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme JF - Mathematics N2 - Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately evident that the method is fast and memory-efficient. Moreover, the method’s design is such that good convergence properties may be expected. In this paper, we commence a systematic investigation of these convergence properties. Y1 - 2022 U6 - https://doi.org/10.3390/math10081245 VL - 10 IS - 8 ER - TY - JOUR A1 - Wunderlich, Claudia T1 - A győri Unger család: társadalmi szemiotika, politikai ikonográfia és a 19. századi játékkártyakészítés T2 - Ethnographia N2 - The Unger Family from Győr: The Social Semiotics, Political Iconography and Manufacture of their 19th Century Playing Cards Mátyás (Mathias) Unger the Elder (1789–1862) and his eponymous son Mátyás (Mathias) the Younger (1824–1878) from Győr are prominent in the history of the Hungarian playing cards. Due to more recent research, new details about the family and their playing cards have surfaced. This includes the fact that another son of Mátyás Unger the Elder was Alajos (Alois) Unger (1814–1848), an academic painter trained at the Vienna Academy of Arts, particularly under Leopold Kupelwieser and Johann Ender, in late Nazarene, late Romantic style. New findings on the Unger playing cards are presented drawing on social semiotics and its relationship to political iconography, whereby cards are considered as text and the two categories of denotation and connotation pivotal. Change in connotation and meaning is analysed to provide further explanation for how the four season cards, i.e. Tell cards (magyar kártya), today‘s standard pattern, came about with lost Unger playing cards serving as a missing link. These Unger cards reflected the art policy of the Austrian Empire of the time as image propaganda for the Casa d’Austria linked with the pietas austriaca/hungarica, in line with Alajos Unger’s oil paintings. Over time, the connotation of the Tell cards changed into a clear anti-Habsburg stance. Further reasons for why this pattern became standard in Hungary and how the four seasoned Däuser cards, popularized by the Ungers, must have become part of it are also given. Against this background, a novel bottom-up material flow simulation approach is proposed to investigate the artisanal playing card production process, output and profitability of the small workshop of the Ungers together with a research agenda for adapting it to the building and conditions of the last known production site, all on the basis of a reconstruction. KW - Spielkarten KW - Semiotik KW - Sprachwissenschaft KW - Mátyás Unger der Ältere (1789-1862) KW - Mátyás Unger der Jüngere (1824-1878) KW - Alajos Unger (1814-1848) KW - Materialflusssimulation Y1 - 2022 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:863-opus-43640 SN - 0014–1798 VL - 133/3 PB - Ungarische Volkskundegesellschaft CY - Budapest ER - TY - JOUR A1 - Günnel, Andreas A1 - Herzog, Roland T1 - Optimal Control Problems in Finite-Strain Elasticity by Inner Pressure and Fiber Tension JF - Frontiers in Applied Mathematics and Statistics N2 - Optimal control problems for finite-strain elasticity are considered. An inner pressure or an inner fiber tension is acting as a driving force. Such internal forces are typical, for instance, for the motion of heliotropic plants, and for muscle tissue. Non-standard objective functions relevant for elasticity problems are introduced. Optimality conditions are derived on a formal basis, and a limited-memory quasi-Newton algorithm for their solution is formulated in function space. Numerical experiments confirm the expected mesh-independent performance. KW - partial differential equations, optimal control, finite-strain elasticity, quasi-Newton method, multigrid preconditioning Y1 - 2016 U6 - https://doi.org/10.3389/fams.2016.00004 VL - 2 ER - TY - JOUR A1 - Makowski, Andreas A1 - Herzog, Roland T1 - Optimal Control of Large Deformation Elasticity by Fiber Tension JF - Proceedings in Applied Mathematics and Mechanics N2 - Object of our interest is an elastic body Ω ⊂ ℝ3 which we can deform by applying a tension along certain given short fibers inside the body. The deformation of the body is desribed by a hyperelastic model with polyconvex energy density and a special energy functional for the tension along the fibers. We seek to apply (possibly large) deformations to the body so that a desired shape is obtained. To this end, we formulate an optimal control problem for the fiber tension field. KW - partial differential equations, optimal control, finite-strain elasticity, quasi-Newton method, multigrid preconditioning Y1 - 2014 U6 - https://doi.org/10.1002/pamm.201410420 VL - 2014 IS - 14 SP - 879 EP - 880 ER - TY - CHAP A1 - Claudia, Wunderlich ED - Ministerium für auswärtige Angelegenheiten der Ukraine, Diplomatische Akademie der Ukraine T1 - Teaching Intercultural Skills through a Global Business Simulation N2 - This paper reports on how intercultural skills can be taught in English for Specific Purposes courses (ESP) in addition to reading, writing, listening, and speaking skills in a global business simulation KW - English for Specific Purposes KW - Intercultural communication KW - Global Business Simulation Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:863-opus-43432 PB - Diplomatische Akademie der Ukraine CY - Kiev ER - TY - JOUR A1 - Wunderlich, Claudia T1 - Későnazarénus, késő romantikus és kártyatervező: a Kupelwieser-tanítvány Unger Alajos újrafelfedezése T2 - Arrabona N2 - Alajos (Alois) Unger, who was descended from the well-known Unger playing- card making family from Győr, is a recently rediscovered Hungarian late Nazarene and late Romanticist artist. The son and brother of the playing-card makers Mátyás (Mathias) Unger the Elder (1789-1862) and Younger (1824-78), he was originally apprenticed in this craft as well and, as could be proved for the first time, designed the family’s playing-cards. First trained at the National Drawing School of his hometown under János Hofbauer (creator of The Castle of Dévény, Hungarian National Gallery), which apprentices and journeymen of the local crafts attended, Alajos Unger enrolled at the Vienna Academy of Fine Arts first in 1833 to train there as a draughtsman and then became a pupil of Leopold Kupelwieser (1796-1862) from 1836 until 1842. Among his classmates were the famous artists Eduard von Engerth (1818-97), Franz Josef Dobiaschofsky (1818-67), Ferenc Szoldatits (1820-1916) and August von Pettenkofen (1822-1889). In an art exhibition in Győr in 1903 the quality of Unger’s genre paintings displayed there was likened to those of the latter. It has now been possible to demonstrate how strongly his art was rooted in the late Nazarene and late Romanticist tradition of the circle around his teacher. Overall, his style not only reflects the ’’literary-musical-artistic” orientation of Kupelwieser, but also the ”fairytale-like-poetical” variety represented by Joseph von Führich and particularly Moritz von Schwind. Alajos Unger had until recently only been known by name, but with the present article, a fuller picture of the artist’s life and work has been presented. Thus, apart from the two oil paintings, which came into the possession of the Hungarian National Gallery in the 1970s, The Recapture ofRaab (1840) and a portrait of the artist and his family (1843), a series of hitherto unknown oilworks has been discovered: a portrait of an unknown lady (1836), now part of the art collection of the University of Pennsylvania, a copy of Cesare da Sesto’s La vierge au bas-relief (date unknown), the Baptism of Vajk (1842) and a Biedermeier picture clock depicting a patriotic scene from the opera Lucia di Lammermoor set against the backdrop of a veduta of Venice (1847). The portrait of Ferenc Hergeszell, a local politician from Unger’s hometown and later member of the Hungarian Diet, from 1841, now in the collection of the Flóris Römer Museum in Győr, also bears Unger’s painterly handwriting. Altogether, the torso of the extraordinary work of a representative of a younger generation of Nazarenes, who promoted Hungarian national art, has been unveiled in the bicentenary of his birth. In addition to this, the role of Nazarene artists and that of their networks in the development of Hungarian art generally was investigated. KW - Alajos Alois Unger (1814-1848) KW - Mátyás Unger the Elder (1789-1862) KW - Mátyás Unger the Younger (1824-1878) KW - Hungarian Art KW - Nazarene Art KW - Romanticism KW - Playing cards Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:863-opus-43519 SN - 571-1304 VL - 50/2 PB - Flóris-Rómer-Museum Györ CY - Györ ER - TY - CHAP A1 - Wunderlich, Claudia ED - Wunderlich, Claudia T1 - The influence of Nazarene Art on the development of Hungarian national art and the crafts. The academic painter Alajos (Alois) Unger (Bap Győr 29 Oct 1814 - Győr 28 Dec 1848) N2 - This paper will deals with the Nazarene Movement and its art in Hungary with special reference to Alajos (Alois) Unger, a recently rediscovered artist of Hungary’s Reform Era, his links to Nazarene art, the relevance of (functional) semiotics in the interpretation of Nazarene works and the influence of the Nazarene Movement on the arts and crafts of the 19th century. This includes the design of new playing-card patterns in Hungary KW - Alajos Alois Unger (1814-1848) KW - Mátyás Unger the Elder (1789-1862) KW - Mátyás Unger the Younger (1824-1878) KW - Hungarian playing cards KW - Nazarene art KW - Crafts Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:863-opus-43529 SN - 978-963-306-260-9 PB - SZTE BTK Néprajzi és Kulturális Antropológiai Tanszék CY - Szeged ER - TY - JOUR A1 - Wunderlich, Claudia T1 - THE ICONOGRAPHY, DESIGN AND MANUFACTURE OF THE 19 TH CENTURY PLAYING-CARDS BY THE UNGER FAMILY FROM GYŐR T2 - Acta Ethnographica Hungarica N2 - The present article offers new evidence on the Unger playing-card making family of Győr,Western Transdanubia, as the result of a cross-disciplinary study. Mátyás Unger the Elder (1789-1862) andhis like-named son Mátyás the Younger (1824–1878) produced various types of playing-cards from theearly to mid-19th century. In particular, their cards, their iconography, design and production process will beanalysed. The family is best known for their cards with Sopron (Oedenburg) pattern. Also discussed will bethe role of Mátyás the Elder’s second eldest son Alajos Unger as a possible designer of the later Unger cards,which were of considerably higher quality than the earlier known ones by Mátyás Unger the Elder. Thehitherto little-known Alajos Unger was trained as a draughtsman and painter first at the National DrawingSchool of his hometown and then, between 1833 and 1842, at the Vienna Academy of Fine Arts, particularlyunder Leopold Kupelwieser (1796–1862). Finally an innovative outside-in bottom-up method for gainingfurther, reliable insight into 19thcentury artisanal playing-card manufacturing will be proposed to determinethe size, output and profitability of the Unger workshop based on material-flow simulation. KW - 19th-century Hungarian playing cards KW - Sopron pattern KW - Mátyás Unger KW - Alajos Unger KW - playing card production KW - material flow simulation Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:863-opus-43509 SN - 1216-9803 VL - 57/2 PB - Hungarian Academy of Sciences CY - Budapest ER - TY - JOUR A1 - Jüngst, Heike Elisabeth T1 - Jungs, Mädchen und Internationales : Diversität in englischen und deutschen Kinderkochbüchern der 1960er- bis 1990er-Jahre JF - kjl&m Y1 - 2022 SN - 1864-144X IS - 3 SP - 40 EP - 48 PB - kopaed-Verlag CY - München ER - TY - CHAP A1 - Jüngst, Heike Elisabeth ED - Jaki, Sylvia ED - Sabban, Annette T1 - ... und natürlich mit der Maus! : die Sendung mit der Maus im Marketing- und Medienverbund T2 - Wissensformate in den Medien : Analyse aus Medienlinguistik und Medienwissenschaft Y1 - 2017 UR - https://permalink.bibkatalog.de/wue/BV044283930 SN - 9783732997183 SP - 101 EP - 118 PB - Frank & Timme CY - Berlin ER - TY - JOUR A1 - Wehnert, Kira-Kristin A1 - Ochs, Dennis A1 - Schmitt, Jan A1 - Hartmann, Jürgen A1 - Schiffler, Andreas T1 - Reducing Lifecycle Costs due to Profile Scanning of the Powder Bed in Metal Printing JF - Procedia CIRP 98 N2 - First time right is one major goal in powder based 3D metal printing. Reaching this goal is driven by reducing life cycle costs for quality measures, to minimize scrap rate and to increase productivity under optimal resource efficiency. Therefore, monitoring the state of the powder bed for each printed layer is state of the art in selective laser melting. In the most modern approaches the quality monitoring is done by computer vision systems working with an interference on trained neural networks with images taken after exposure and after recoating. There are two drawbacks of this monitoring method: First, the sensor signals - the image of the powder bed - give no direct height information. Second, the application of this method needs to be trained and labeled with reference images for several cases. The novel approach presented in this paper uses a laser line scanner attached to the recoating machine. With this new concept, a direct threshold measure can be applied during the recoating process to detect deviations in height level without prior knowledge. The evaluation can be done online during recoating and feedback to the controller to monitor each individual layer. Hence, in case of deviations the location in the printing plane is an inherent measurement and will be used to decide which severity of error is reported. The signal is used to control the process, either by starting the recoating process again or stopping the printing process. With this approach, the sources of error for each layer can be evaluated with deep information to evaluate the cause of the error. This allows a reduction of failure in the future, which saves material costs, reduces running time of the machine life cycle phase in serial production and results in less rework for manufactured parts. Also a shorter throughput time per print job results, which means that the employee can spent more time to other print jobs and making efficient use of the employee’s work force. In summary, this novel approach will not only reduce material costs but also operating costs and thus optimize the entire life cycle cost structure. The paper presents a first feasibility and application of the described approach for test workpieces in comparison to conventional monitoring systems on an EOS M290 machine. Y1 - 2021 UR - 10.1016/j.procir.2021.01.175 VL - 98 SP - 684 EP - 689 PB - Elsevir ER - TY - JOUR A1 - Ochs, Dennis A1 - Wehnert, Kira-Kristin A1 - Hartmann, Jürgen A1 - Schiffler, Andreas A1 - Schmitt, Jan T1 - Sustainable Aspects of a Metal Printing Process Chain with Laser Powder Bed Fusion (LPBF) JF - Procedia CIRP N2 - Production companies are getting more and more aware of the relevancy of energy costs and the environmental impact of their manufactured products. Hence, the knowledge about the energy intensity of new process technologies as metal printing becomes increasingly crucial. Therefore, data about the energy intensity of entire process chains allow a detailed assessment of the life cycle costs and environmental impact of metal printed parts. As metal printing with Laser Powder Bed Fusion (LPBF) is applied from rapid prototyping to serial manufacturing processes more and more, sustainability data are useful to support a valid scale-up scenario and energetic improvements of the 3D-printing machinery as well as peripheral aggregates used in the process chain. The contribution aims to increase the transparency of the LPBF process chain in terms of its energy consumption. Therefore a generalized model to assess sustainability aspects of metal printed parts is derived. For this purpose, the LPBF process chain with the essential pre-, main- and post-processes is evaluated regarding its energy intensity. Here, the sub-processes, for example wet and dry cleaning of the printer, sieving of the metal powder or sand-blasting of the part are analyzed as well as the main printing process. Based on the derived experimental data from an installed, industry-like process chain, a model is created, which tends to generalize the experimental findings to evaluate other metal printed parts and process chain variants in terms of their energy intensity. Y1 - 2021 UR - 10.1016/j.procir.2021.01.163 VL - 98 SP - 613 EP - 618 PB - Elsevir ER - TY - JOUR A1 - Jüngst, Heike Elisabeth T1 - Uwe-Michael Gutzschhahns Übersetzungen von Versromanen: Robert Paul Westons "Zorgamazoo" und Steven Herricks "By the River" JF - kjl&m Y1 - 2023 SN - 1864-144X IS - 1 SP - 57 EP - 61 PB - kopaed-Verlag CY - München ER - TY - CHAP A1 - Jüngst, Heike Elisabeth ED - Zimmermann, Tanja T1 - Die Hanisauland-Comics - Einführung in die Demokratie oder Gründungsmythos der Bundesrepublik Deutschland? T2 - Geschichte und Mythos in Comics und Graphic Novels Y1 - 2019 SN - 9783962340179 SP - 327 EP - 350 PB - Christian A. Bachmann Verlag CY - Berlin ER -