Eldorado - Repositorium der TU Dortmund
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Item type:Item, Finite element approximation of data-driven problems in conductivity(Springer Science and Business Media LLC, 2024-10-10) Schiemann, Annika; Meyer, ChristianThis paper is concerned with the finite element discretization of the data driven approach according to Kirchdoerfer and Ortiz (Comput Methods Appl Mech Eng 304:81–101, 2016) for the solution of PDEs with a material law arising from measurement data. To simplify the setting, we focus on a scalar diffusion problem instead of a problem in elasticity. It is proven that the data convergence analysis from Conti et al. (Arch Ration Mech Anal 229(1):79–123, 2018) carries over to the finite element discretization as long as -conforming finite elements such as the Raviart–Thomas element are used. As a corollary, minimizers of the discretized problems converge in data in the sense of Conti et al., as the mesh size tends to zero and the approximation of the local material data set gets more and more accurate. We moreover present several heuristics for the solution of the discretized data driven problems, which is equivalent to a quadratic semi-assignment problem and therefore NP-hard. We test these heuristics by means of three examples and it turns out that the “classical” alternating projection method according to Kirchdoerfer and Ortiz is superior w.r.t. the ratio of accuracy and computational time.Item type:Item, Fachlichkeit und Professionalisierung des Personals in der Kinder- und Jugendhilfe(Springer Science and Business Media LLC, 2024-06-06) Birkel-Barmsen, Janine; Meiner-Teubner, ChristianeZusammenfassungErgebnisse der Kinder- und Jugendhilfestatistik zeigen, dass das Qualifikationsgefüge in der Kinder- und Jugendhilfe trotz enormem Personalzuwachs in den vergangenen 15 Jahren stabil geblieben ist. Auf der Grundlage jüngster Vorausberechnungen ist bereits heute absehbar, dass in Westdeutschland auch im kommenden Jahrzehnt ein hoher Fachkräftemangel bestehen wird. Bereits seit etwa zehn Jahren kommt es immer wieder zu Reformen in den Ausbildungen, um mehr Interessierte für die Ausbildung zu gewinnen und zuletzt reagierte die Mehrzahl der Länder mit Öffnungen der Fachkräftekataloge im Bereich der Frühen Bildung, um zusätzliches Personal zu gewinnen. Diese Maßnahmen tragen zwar einerseits zur Reduzierung des Fachkräftemangels bei, bergen aber auch verschiedene Gefahren und Risiken.Item type:Item, From artistic strategies to placemaking and capability development(Informa UK Limited, 2026-06-22) Lee, Dahae; Kränzle, Elina; Lehner, Judith; Vikuté, Eglé; Budryté, Paulina; Weger, Kim; Surizehi, KamranIn recent decades, a decline in youth participation has been widely documented. Existing studies identify a lack of trust between youth and professionals as a contributing factor. This paper presents empirical findings from four urban living labs – Vienna, Panevėžys, Oslo, and Rotterdam – where different participatory approaches were tested ranging from artistic strategies to placemaking and capability development. The findings suggest that trust is an emergent, relational, and processual outcome of participatory engagement itself, which in turn fosters further participation. The paper highlights the importance of labs in shaping trust and the crucial role of intermediary actors within these spaces.Item type:Item, Extended formulations for binary optimal control problems(Springer Science and Business Media LLC, 2024-11-12) Buchheim, ChristophExtended formulations are an important tool in polyhedral combinatorics. Many combinatorial optimization problems require an exponential number of inequalities when modeled as a linear program in the natural space of variables. However, by adding artificial variables, one can often find a small linear formulation, i.e., one containing a polynomial number of variables and constraints, such that the projection to the original space of variables yields a perfect linear formulation. Motivated by binary optimal control problems with switching constraints, we show that a similar approach can be useful also for optimization problems in function space, in order to model the closed convex hull of feasible controls in a compact way. More specifically, we present small extended formulations for switches with bounded variation and for dwell-time constraints. For general linear switching point constraints, we devise an extended model linearizing the problem, but show that a small extended formulation that is compatible with discretization cannot exist unless P = NP.Item type:Item, A large-scale empirical investigation of measurement invariance decisions under multiple-group item response theory and multiple-group confirmatory factor analysis(Frontiers Media SA, 2026-06-19) Baghaei, Purya; Strietholt, Rolf; Christiansen, AndrésMeasurement invariance (MI) testing is essential for ensuring valid cross-group comparisons in international large-scale assessments (ILSA). There are two major frameworks for establishing MI: multiple-group confirmatory factor analysis (MGCFA) and multiple-group item response theory (MGIRT). This study compares the results of MGCFA and MGIRT in examining measurement invariance using survey data from the International Computer and Information Literacy Study (ICILS) 2023. This study goes beyond prior simulation-based comparisons by providing a large-scale empirical examination of measurement invariance decisions across 33 ICILS questionnaire scales and 32 educational systems under operational assessment conditions. Using common thresholds for model evaluation, the results from the MGIRT suggest invariance across most scales compared to MGCFA, which rejects configural invariance for several scales. This finding suggests that the choice of method, MGCFA or MGIRT, can lead to substantially different conclusions. These findings underscore the urgent need for further methodological research to better understand the conditions under which each approach performs reliably and to guide researchers in making informed choices when assessing measurement invariance.
