@inproceedings{DeSchepperBrackxSommen,
  author    = {De Schepper, Nele and Brackx, Fred and Sommen, Frank},
  title     = {THE FOURIER-BESSEL TRANSFORM},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2838},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28387},
  pages     = {18},
  abstract  = {In this paper we devise a new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier-Bessel transform. It appears that in the two-dimensional case, it coincides with the Clifford-Fourier and cylindrical Fourier transforms introduced earlier. We show that this new integral transform satisfies operational formulae which are similar to those of the classical tensorial Fourier transform. Moreover the L2-basis elements consisting of generalized Clifford-Hermite functions appear to be eigenfunctions of the Fourier-Bessel transform.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{DjordjevicPetkovicZivkovic,
  author    = {Djordjevic, Djordje and Petkovic, Dusan and Zivkovic, Darko},
  title     = {THE APPLICATION OF INTERVAL CALCULUS TO ESTIMATION OF PLATE DEFLECTION BY SOLVING POISSON'S PARTIAL DIFFERENTIAL EQUATION},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2839},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28397},
  pages     = {12},
  abstract  = {This paper describes the application of interval calculus to calculation of plate deflection, taking in account inevitable and acceptable tolerance of input data (input parameters). The simply supported reinforced concrete plate was taken as an example. The plate was loaded by uniformly distributed loads. Several parameters that influence the plate deflection are given as certain closed intervals. Accordingly, the results are obtained as intervals so it was possible to follow the direct influence of a change of one or more input parameters on output (in our example, deflection) values by using one model and one computing procedure. The described procedure could be applied to any FEM calculation in order to keep calculation tolerances, ISO-tolerances, and production tolerances in close limits (admissible limits). The Wolfram Mathematica has been used as tool for interval calculation.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@phdthesis{Alabdullah2010,
  author    = {Alabdullah, Jamal},
  title     = {Testing Unsaturated Soil for Plane Strain Conditions : A New Double-Wall Biaxial Device},
  doi       = {10.25643/bauhaus-universitaet.1418},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20100628-15056},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2010},
  abstract  = {In der vorliegenden Dissertation wird durch den Autor ein neuer, einzigartiger biaxialer Versuchsstand f{\"u}r die Untersuchung unges{\"a}ttigter B{\"o}den entwickelt und die an Proben von unges{\"a}ttigtem Sand gewonnenen Versuchsergebnisse vorgestellt. Im Wesentlichen werden die Versuche an Proben von Hostun-Sand-Proben durchgef{\"u}hrt. Die Versuchsreihen umfassen die Charakterisierung (Klassifizierung) des Bodens, die Ausarbeitung von Wasserretentionskennlinien (Soil Water Characteristic Curves) und die Durchf{\"u}hrung von biaxialen Kompressionsversuchen an trockenen, ges{\"a}ttigten und unges{\"a}ttigten Proben. Desweiteren werden Modellversuche an Streifenfundamenten zur Untersuchung der Tragf{\"a}higkeit durchgef{\"u}hrt. Begr{\"u}ndet durch die Ver{\"a}nderung des Bodenverhaltens durch geringe Anteile von bindigem Material, werden zus{\"a}tzlich Versuche mit einer Mischung aus Sand und Kaolinit analysiert.},
  subject      = {Unges{\"a}ttigte Zone},
  language  = {en}
}
@article{KoenigThurowBraunesetal.2010,
  author    = {K{\"o}nig, Reinhard and Thurow, Torsten and Braunes, J{\"o}rg and Donath, Dirk and Schneider, Sven},
  title     = {Technische Einf{\"u}hrung in FREAC: A Framework for Enhancing Research in Architectural Design and Communication},
  doi       = {10.25643/bauhaus-universitaet.1449},
  url       = {http://nbn-resolving.de/urn:nbn:de:101:1-201105183216},
  year      = {2010},
  abstract  = {Im vorliegenden Beitrag wird ein Framework f{\"u}r ein verteiltes dynamisches Produktmodell (FREAC) vorgestellt, welches der experimentellen Softwareentwicklung dient. Bei der Entwicklung von FREAC wurde versucht, folgende Eigenschaften umzusetzen, die bei herk{\"o}mmlichen Systemen weitgehend fehlen: Erstens eine hohe Flexibilit{\"a}t, also eine m{\"o}glichst hohe Anpassbarkeit f{\"u}r unterschiedliche Fachdisziplinen; Zweitens die M{\"o}glichkeit, verschiedene Tools nahtlos miteinander zu verkn{\"u}pfen; Drittens die verteilte Modellbearbeitung in Echtzeit; Viertens das Abspeichern des gesamten Modell-Bearbeitungsprozesses; F{\"u}nftens eine dynamische Erweiterbarkeit sowohl f{\"u}r Softwareentwickler, als auch f{\"u}r die Nutzer der Tools. Die Bezeichnung FREAC umfasst sowohl das Framework zur Entwicklung und Pflege eines Produktmodells (FREAC-Development) als auch die entwickelten Tools selbst (FREAC-Tools).},
  subject      = {CAD},
  language  = {de}
}
@inproceedings{Bargstaedt2010,
  author    = {Bargst{\"a}dt, Hans-Joachim},
  title     = {Tag des Baubetriebs 2010 - Tagungsbeitr{\"a}ge "Modellierung von Prozessen zur Fertigung von Unikaten" : Forschungsworkshop zur Simulation von Bauprozessen},
  doi       = {10.25643/bauhaus-universitaet.1420},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20100628-15065},
  year      = {2010},
  abstract  = {Am 25. M{\"a}rz 2010 veranstaltete die Professur Baubetrieb und Bauverfahren im Rahmen der j{\"a}hrlich stattfindenden baubetrieblichen Tagungsreihe gemeinsam mit der Arbeitsgruppe „Unikatprozesse" in der Fachgruppe „Simulation in Produktion und Logistik" (SPL) im Rahmen der Arbeitsgemeinschaft Simulation - ASIM einen ganzt{\"a}gigen Workshop mit dem Titel: „Modellierung von Prozessen zur Fertigung von Unikaten". Viele Bauprozesse sind dadurch gekennzeichnet, dass sie Unikatcharakter besitzen. Unikate sind durch prototypische Einmaligkeit, Individualit{\"a}t, vielf{\"a}ltige Randbedingungen, einen geringen Grad an Standardisierung und Wiederholungen gekennzeichnet. Das erschwert die realit{\"a}tsnahe Modellierung zur Simulation sogenannter Unikatprozesse. Dieser Besonderheit widmet sich die {\"u}berwiegende Zahl der Tagungsbeitr{\"a}ge, die in diesem Band widergegeben sind.},
  subject      = {Weimar / Bauhaus-Universit{\"a}t / Professur Baubetrieb und Bauverfahren},
  language  = {de}
}
@phdthesis{Grundhoefer2010,
  author    = {Grundh{\"o}fer, Anselm},
  title     = {Synchronized Illumination Modulation for Digital Video Compositing},
  doi       = {10.25643/bauhaus-universitaet.1440},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20101210-15278},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2010},
  abstract  = {Informationsaustausch ist eines der Grundbed{\"u}rfnisse der Menschen. W{\"a}hrend fr{\"u}her dazu Wandmalereien,Handschrift, Buchdruck und Malerei eingesetzt wurden, begann man sp{\"a}ter, Bildfolgen zu erstellen, die als sogenanntes "Daumenkino" den Eindruck einer Animation vermitteln. Diese wurden schnell durch den Einsatz rotierender Bildscheiben, auf denen mit Hilfe von Schlitzblenden, Spiegeln oder Optiken eine Animation sichtbar wurde, automatisiert - mit sogenannten Phenakistiskopen,Zoetropen oder Praxinoskopen. Mit der Erfindung der Fotografie begannen in der zweiten H{\"a}lfte des 19. Jahrhunderts die ersten Wissenschaftler wie Eadweard Muybridge, Etienne-Jules Marey und Ottomar Ansch{\"u}tz, Serienbildaufnahmen zu erstellen und diese dann in schneller Abfolge, als Film, abzuspielen. Mit dem Beginn der Filmproduktion wurden auch die ersten Versuche unternommen, mit Hilfe dieser neuen Technik spezielle visuelle Effekte zu generieren, um damit die Immersion der Bewegtbildproduktionen weiter zu erh{\"o}hen. W{\"a}hrend diese Effekte in der analogen Phase der Filmproduktion bis in die achtziger Jahre des 20.Jahrhunderts recht beschr{\"a}nkt und sehr aufwendig mit einem enormen manuellen Arbeitsaufwand erzeugt werden mussten, gewannen sie mit der sich rapide beschleunigenden Entwicklung der Halbleitertechnologie und der daraus resultierenden vereinfachten digitalen Bearbeitung immer mehr an Bedeutung. Die enormen M{\"o}glichkeiten, die mit der verlustlosen Nachbearbeitung in Kombination mit fotorealistischen, dreidimensionalen Renderings entstanden, f{\"u}hrten dazu, dass nahezu alle heute produzierten Filme eine Vielfalt an digitalen Videokompositionseffekten beinhalten. ...},
  subject      = {Lumineszenzdiode},
  language  = {en}
}
@inproceedings{Szolomicki,
  author    = {Szolomicki, Jerzy Pawel},
  title     = {STRUCTURAL BEHAVIOUR OF MASONRY VAULTS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2896},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28966},
  pages     = {11},
  abstract  = {This paper deals with the modelling and the analysis of masonry vaults. Numerical FEM analyses are performed using LUSAS code. Two vault typologies are analysed (barrel and cross-ribbed vaults) parametrically varying geometrical proportions and constraints. The proposed model and the developed numerical procedure are implemented in a computer analysis. Numerical applications are developed to assess the model effectiveness and the efficiency of the numerical procedure. The main object of the present paper is the development of a computational procedure which allows to define 3D structural behaviour of masonry vaults. For each investigated example, the homogenized limit analysis approach has been employed to predict ultimate load and failure mechanisms. Finally, both a mesh dependence study and a sensitivity analysis are reported. Sensitivity analysis is conducted varying in a wide range mortar tensile strength and mortar friction angle with the aim of investigating the influence of the mechanical properties of joints on collapse load and failure mechanisms. The proposed computer model is validated by a comparison with experimental results available in the literature.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{Malonek,
  author    = {Malonek, Helmuth Robert},
  title     = {SPECIAL FUNCTIONS VERSUS ELEMENTARY FUNCTIONS IN HYPERCOMPLEX FUNCTION THEORY},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2870},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28702},
  pages     = {3},
  abstract  = {In recent years special hypercomplex Appell polynomials have been introduced by several authors and their main properties have been studied by different methods and with different objectives. Like in the classical theory of Appell polynomials, their generating function is a hypercomplex exponential function. The observation that this generalized exponential function has, for example, a close relationship with Bessel functions confirmed the practical significance of such an approach to special classes of hypercomplex differentiable functions. Its usefulness for combinatorial studies has also been investigated. Moreover, an extension of those ideas led to the construction of complete sets of hypercomplex Appell polynomial sequences. Here we show how this opens the way for a more systematic study of the relation between some classes of Special Functions and Elementary Functions in Hypercomplex Function Theory.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{SchraderKoenke,
  author    = {Schrader, Kai and K{\"o}nke, Carsten},
  title     = {SPARSE APPROXIMATE COMPUTATION OF SADDLE POINT PROBLEMS ARISING FROM FETI-DP DISCRETIZATION},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2887},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28874},
  pages     = {12},
  abstract  = {The numerical simulation of microstructure models in 3D requires, due to enormous d.o.f., significant resources of memory as well as parallel computational power. Compared to homogeneous materials, the material hetrogeneity on microscale induced by different material phases demand for adequate computational methods for discretization and solution process of the resulting highly nonlinear problem. To enable an efficient/scalable solution process of the linearized equation systems the heterogeneous FE problem will be described by a FETI-DP (Finite Element Tearing and Interconnecting - Dual Primal) discretization. The fundamental FETI-DP equation can be solved by a number of different approaches. In our approach the FETI-DP problem will be reformulated as Saddle Point system, by eliminating the primal and Lagrangian variables. For the reduced Saddle Point system, only defined by interior and dual variables, special Uzawa algorithms can be adapted for iteratively solving the FETI-DP saddle-point equation system (FETI-DP SPE). A conjugate gradient version of the Uzawa algorithm will be shown as well as some numerical tests regarding to FETI-DP discretization of small examples using the presented solution technique. Furthermore the inversion of the interior-dual Schur complement operator can be approximated using different techniques building an adequate preconditioning matrix and therewith leading to substantial gains in computing time efficiency.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{HammBeissertKoenig,
  author    = {Hamm, Matthias and Beißert, Ulrike and K{\"o}nig, Markus},
  title     = {SIMULATION-BASED OPTIMIZATION OF CONSTRUCTION SCHEDULES BY USING PARETO SIMULATED ANNEALING},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2849},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28499},
  pages     = {13},
  abstract  = {Within the scheduling of construction projects, different, partly conflicting objectives have to be considered. The specification of an efficient construction schedule is a challenging task, which leads to a NP-hard multi-criteria optimization problem. In the past decades, so-called metaheuristics have been developed for scheduling problems to find near-optimal solutions in reasonable time. This paper presents a Simulated Annealing concept to determine near-optimal construction schedules. Simulated Annealing is a well-known metaheuristic optimization approach for solving complex combinatorial problems. To enable dealing with several optimization objectives the Pareto optimization concept is applied. Thus, the optimization result is a set of Pareto-optimal schedules, which can be analyzed for selecting exactly one practicable and reasonable schedule. A flexible constraint-based simulation approach is used to generate possible neighboring solutions very quickly during the optimization process. The essential aspects of the developed Pareto Simulated Annealing concept are presented in detail.},
  subject      = {Angewandte Informatik},
  language  = {en}
}