@inproceedings{DeaconvanRooyen, author = {Deacon, Michael-John and van Rooyen, G.C.}, title = {DISTRIBUTED COLLABORATION: ENGINEERING PRACTICE REQUIREMENTS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2941}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29410}, pages = {8}, abstract = {Designing a structure follows a pattern of creating a structural design concept, executing a finite element analysis and developing a design model. A project was undertaken to create computer support for executing these tasks within a collaborative environment. This study focuses on developing a software architecture that integrates the various structural design aspects into a seamless functional collaboratory that satisfies engineering practice requirements. The collaboratory is to support both homogeneous collaboration i.e. between users operating on the same model and heterogeneous collaboration i.e. between users operating on different model types. Collaboration can take place synchronously or asynchronously, and the information exchange is done either at the granularity of objects or at the granularity of models. The objective is to determine from practicing engineers which configurations they regard as best and what features are essential for working in a collaborative environment. Based on the suggestions of these engineers a specification of a collaboration configuration that satisfies engineering practice requirements will be developed.}, subject = {Architektur }, language = {en} } @inproceedings{DudekRichter, author = {Dudek, Mariusz and Richter, Matthias}, title = {UNTERSUCHUNGEN ZUR ZUVERL{\"A}SSIGKEIT DES STRAßENBAHNNETZES IN KRAKAU}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2943}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29432}, pages = {19}, abstract = {Der Begriff der Zuverl{\"a}ssigkeit spielt eine zentrale Rolle bei der Bewertung von Verkehrsnetzen. Aus der Sicht der Nutzer des {\"o}ffentlichen Personennahverkehrs ({\"O}PNV) ist eines der wichtigsten Kriterien zur Beurteilung der Qualit{\"a}t des Liniennetzes, ob es m{\"o}glich ist, mit einer großen Sicherheit das Reiseziel in einer vorgegebenen Zeit zu erreichen. Im Vortrag soll dieser Zuverl{\"a}ssigkeitsbegriff mathematisch gefasst werden. Dabei wird zun{\"a}chst auf den {\"u}blichen Begriff der Zuverl{\"a}ssigkeit eines Netzes im Sinne paarweiser Zusammenhangswahrscheinlichkeiten eingegangen. Dieser Begriff wird erweitert durch die Betrachtung der Zuverl{\"a}ssigkeit unter Einbeziehung einer maximal zul{\"a}ssigen Reisezeit. In vergangenen Arbeiten hat sich die Ring-Radius-Struktur als bew{\"a}hrtes Modell f{\"u}r die theoretische Beschreibung von Verkehrsnetzen erwiesen. Diese {\"U}berlegungen sollen nun durch Einbeziehung realer Verkehrsnetzstrukturen erweitert werden. Als konkretes Beispiel dient das Straßenbahnnetz von Krakau. Hier soll insbesondere untersucht werden, welche Auswirkungen ein geplanter Ausbau des Netzes auf die Zuverl{\"a}ssigkeit haben wird. This paper is involved with CIVITAS-CARAVEL project: "Clean and better transport in cites". The project has received research funding from the Community's Sixth Framework Programme. The paper reflects only the author's views and the Community is not liable for any use that may be made of the information contained therein.}, subject = {Architektur }, language = {de} } @inproceedings{Bilchuk, author = {Bilchuk, Irina}, title = {GEOMETRIC IDENTIFICATION OF OBJECTS IN CIVIL ENGINEERING APPLICATIONS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2927}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29274}, pages = {21}, abstract = {Objects for civil engineering applications can be identified with their reference in memory, their alpha-numeric name or their geometric location. Particularly in graphic user interfaces, it is common to identify objects geometrically by selection with the mouse. As the number of geometric objects in a graphic user interface grows, it becomes increasingly more important to treat the basic operations add, search and remove for geometric objects with great efficiency. Guttmann has proposed the Region-Tree (R-tree) for geometric identification in an environment which uses pages on disc as data structure. Minimal bounding rectangles are used to structure the data in such a way that neighborhood relations can be described effectively. The literature shows that the parameters which influence the efficiency of the R-trees have been studied extensively, but without conclusive results. The goal of the research which is reported in this paper is to determine reliably the parameters which significantly influence the efficiency of R-trees for geometric identification in technical drawings. In order to make this investigation conclusive, it must be performed with the best available software technology. Therefore an object-oriented software for the method is developed. This implementation is tested with technical drawings containing many thousands of geometric objects. These drawings are created automatically by a stochastic generator which is incorporated into a test bed consisting of an editor and a visualisor. This test bed is used to obtain statistics for the main factors which affect the efficiency of R-trees. The investigation shows that the following main factors which affect the efficiency can be identified reliably : number of geometric objects on the drawing the minimum und maximum number of children of a node of the tree the maximum width and height of the minimal bounding rectangles of the geometric objects relative to the size of the drawing.}, subject = {Architektur }, language = {en} } @inproceedings{Goettlicher, author = {G{\"o}ttlicher, Manfred}, title = {HYBRID SOLID-LIQUID MODEL FOR GRANULAR MATERIAL}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2959}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29596}, pages = {20}, abstract = {Solid behavior as well as liquid behavior characterizes the flow of granular material in silos. The presented model is based on an appropriate interaction of a displacement field and a velocity field. The constitutive equations and the applied algorithm are developed from the exact solution for a standard case. The standard case evolves from a very tall vertical plane strain silo containing material that flows at a constant speed. No horizontal displacements and velocities take place. No changes regarding the field values arise in the vertical direction and in time. Tension is not allowed at any point. Coulomb friction represents the effects of the vertical walls. The interaction between the flowing material and the walls is covered by a forced boundary condition resulting in an additional matrix for the solid component as well as for the liquid component. The resulting integral equations are designed to be solved directly. Three coefficients describe the properties of the granular material. They govern elastic solid behavior in combination with viscous liquid behavior.}, subject = {Architektur }, language = {de} } @inproceedings{Schiller, author = {Schiller, Christian}, title = {CONSTRAINED TRAFFIC DEMAND MODELS - SIMULTANEOUS DISTRIBUTION AND MODE CHOICE}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.3014}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-30148}, pages = {16}, abstract = {Unconstrained models are very often found in the broad spectrum of different theories of traffic demand models. In these models there are none or only one-sided restrictions influencing the choice of the individual. However in the traffic demand different deciding dependencies of the traffic volume with regard to the specific conditions of the territory structure potentials exist. Kichhoff and Lohse introduced bi- and tri-linearly constrained models to show these dependencies. In principle, the dependencies are described as hard, elastic and open boundary sum criteria. In this article a model is formulated which gets away from these predefined boundary sum criteria and allows a free determination of minimal and maximal boundary sum criteria. The iterative solution algorithm is shown according to a FURNESS procedure at the same time. With the approach of freely selectable minimal and maximal boundary sum criteria the modeling transport planner gets the possibility to show the traffic event even better. Furthermore all common boundary sum criteria can be calculated with this model. Therewith the often necessary and sensible standard and special cases can also be modeled.}, subject = {Architektur }, language = {en} } @inproceedings{CacaoConstalesKrausshar, author = {Cacao, Isabel and Constales, Denis and Kraußhar, Rolf S{\"o}ren}, title = {BESSEL FUNCTIONS AND HIGHER DIMENSIONAL DIRAC TYPE EQUATIONS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2936}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29366}, pages = {8}, abstract = {In this paper we study the structure of the solutions to higher dimensional Dirac type equations generalizing the known λ-hyperholomorphic functions, where λ is a complex parameter. The structure of the solutions to the system of partial differential equations (D- λ) f=0 show a close connection with Bessel functions of first kind with complex argument. The more general system of partial differential equations that is considered in this paper combines Dirac and Euler operators and emphasizes the role of the Bessel functions. However, contrary to the simplest case, one gets now Bessel functions of any arbitrary complex order.}, subject = {Architektur }, language = {en} } @inproceedings{RyanKrausshar, author = {Ryan, John and Kraußhar, Rolf S{\"o}ren}, title = {ANALYSIS OF DIRAC OPERATORS ON SOME CONFORMALLY FLAT MANIFOLDS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.3008}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-30081}, pages = {5}, abstract = {In this paper we shall review the role of Dirac operators arising in Clifford analysis over some examples of conformally flat manifolds.}, subject = {Architektur }, language = {en} } @inproceedings{RueppelMeissnerLange, author = {R{\"u}ppel, Uwe and Meißner, Udo F. and Lange, Michael}, title = {KOOPERATIVE BRANDSCHUTZPLANUNG MIT SOFTWARE-AGENTEN}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.3007}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-30071}, pages = {10}, abstract = {Die effektive Kooperation aller beteiligten Fachplaner im Bauplanungsprozess ist die Voraussetzung f{\"u}r wirtschaftliches und qualitativ hochwertiges Bauen. Bauprojektorganisationen bestehen in der Regel aus zahlreichen unabh{\"a}ngigen Planungspartnern, die {\"o}rtlich verteilt spezifische Planungsaufgaben bearbeiten und die Ergebnisse in Teilproduktmodellen ablegen. Da Planungsprozesse im Bauwesen stark arbeitsteilig ablaufen, sind die Teilproduktmodelle der einzelnen Fachplanungen in hohem Maße voneinander abh{\"a}ngig. Ziel des hier vorgestellten Ansatzes ist die Integration der Teilproduktmodelle der Geb{\"a}udeplanung in einem netzwerkbasierten Modellverbund am Beispiel der Brandschutzplanung. Im Beitrag werden die Probleme der Verteiltheit und insbesondere der semantischen Heterogenit{\"a}t der involvierten Teilproduktmodelle betrachtet. Der verteilte Zugriff wird mithilfe mobiler Software-Agenten realisiert. Die Agenten k{\"o}nnen sich dabei frei im netzwerkbasierten Planungsverbund bewegen und agieren als Vertreter der Fachplaner. Das Problem der semantischen Heterogenit{\"a}t der Teilproduktmodelle wird auf der Basis von Ontologien gel{\"o}st. Dazu werden erstens Dom{\"a}nenontologien entwickelt, die Objekte der realen Welt einer abgeschlossenen Dom{\"a}ne, hier des Brandschutzes, abbilden. Zweitens werden Applikationsontologien entwickelt, die die einzelnen propriet{\"a}ren Datenhaltungen (im Sinne von Teilproduktmodellen) der jeweiligen Fachplanungen repr{\"a}sentieren. Beide Ontologien werden mit einem regelbasierten Ansatz verkn{\"u}pft. Im vorgestellten Anwendungsfall Brandschutz dient die Dom{\"a}nenontologie als einheitliche Schnittstelle f{\"u}r den Zugriff auf die verteilten Modelle und abstrahiert dabei von deren Datenbankspezifika und propriet{\"a}ren Schemata. Mithilfe von mobilen Agenten und semantischen Technologien kann so eine Plattform zur Verf{\"u}gung gestellt werden, die erstens die dynamische Integration von Ressourcen in den Planungsverbund erlaubt und zweitens auf deren Basis unabh{\"a}ngig von der Verteiltheit und Heterogenit{\"a}t der eingebundenen Ressourcen ingenieurgerechte Verarbeitungsmethoden realisiert werden k{\"o}nnen.}, subject = {Architektur }, language = {de} } @inproceedings{CruzFalcaoMalonek, author = {Cruz, J. F. and Falc{\~a}o, M. Irene and Malonek, Helmuth Robert}, title = {3D-MAPPINGS AND THEIR APPROXIMATION BY SERIES OF POWERS OF A SMALL PARAMETER}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2940}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29406}, pages = {14}, abstract = {In classical complex function theory the geometric mapping property of conformality is closely linked with complex differentiability. In contrast to the planar case, in higher dimensions the set of conformal mappings is only the set of M{\"o}bius transformations. Unfortunately, the theory of generalized holomorphic functions (by historical reasons they are called monogenic functions) developed on the basis of Clifford algebras does not cover the set of M{\"o}bius transformations in higher dimensions, since M{\"o}bius transformations are not monogenic. But on the other side, monogenic functions are hypercomplex differentiable functions and the question arises if from this point of view they can still play a special role for other types of 3D-mappings, for instance, for quasi-conformal ones. On the occasion of the 16th IKM 3D-mapping methods based on the application of Bergman's reproducing kernel approach (BKM) have been discussed. Almost all authors working before that with BKM in the Clifford setting were only concerned with the general algebraic and functional analytic background which allows the explicit determination of the kernel in special situations. The main goal of the abovementioned contribution was the numerical experiment by using a Maple software specially developed for that purpose. Since BKM is only one of a great variety of concrete numerical methods developed for mapping problems, our goal is to present a complete different from BKM approach to 3D-mappings. In fact, it is an extension of ideas of L. V. Kantorovich to the 3-dimensional case by using reduced quaternions and some suitable series of powers of a small parameter. Whereas until now in the Clifford case of BKM the recovering of the mapping function itself and its relation to the monogenic kernel function is still an open problem, this approach avoids such difficulties and leads to an approximation by monogenic polynomials depending on that small parameter.}, subject = {Architektur }, language = {en} } @inproceedings{FalcaoCruzMalonek, author = {Falc{\~a}o, M. Irene and Cruz, J. F. and Malonek, Helmuth Robert}, title = {REMARKS ON THE GENERATION OF MONOGENIC FUNCTIONS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2939}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29390}, pages = {18}, abstract = { In this paper we consider three different methods for generating monogenic functions. The first one is related to Fueter's well known approach to the generation of monogenic quaternion-valued functions by means of holomorphic functions, the second one is based on the solution of hypercomplex differential equations and finally the third one is a direct series approach, based on the use of special homogeneous polynomials. We illustrate the theory by generating three different exponential functions and discuss some of their properties. Formula que se usa em preprints e artigos da nossa UI\&D (acho demasiado completo): Partially supported by the R\\&D unit \emph{Matem\'atica a Aplica\c\~es} (UIMA) of the University of Aveiro, through the Portuguese Foundation for Science and Technology (FCT), co-financed by the European Community fund FEDER.}, subject = {Architektur }, language = {en} } @inproceedings{MalonekFalcaoSilva, author = {Malonek, Helmuth Robert and Falc{\~a}o, M. Irene and Silva, Ant{\´o}nio}, title = {MAPLE TOOLS FOR MODIFIED QUATERNIONIC ANALYSIS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2953}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29535}, pages = {7}, abstract = {At the 16th IKM Bock, Falc{\~a}o and G{\"u}rlebeck presented examples of the application of some specially developed Maple-Software in hypercomplex analysis. Other papers of those authors continued this work and showed the efficiency of such tools for concrete numerical calculations as well as for numerical experiments, supporting the detection of new relationships and even theorems in a highly technical theoretical work. The mentioned software has been developed mainly for the use on mapping problems in the Euclidean spaces of dimension 3 and 4 by means of Bergman kernel methods (BKM), which are related to monogenic functions as solutions of generalized Cauchy-Riemann equations with respect to the Euclidean metric (Riesz system). The developed procedures concerning generalized powers of totally regular variables and the corresponding homogeneous polynomials basically rely on results and conventions introduced in the paper "Power series representation for monogenic functions in Rm+1 based on a permutational product", Complex Variables, 15, No.3, 181-191 (1990) by H. Malonek. Since 1992 H. Leutwiler, S. L. Eriksson and others developed in a number of papers a modified Clifford analysis and, particularly, a modified quaternionic analysis. The modification mainly consists in considering generalized Cauchy-Riemann equations with respect to a hyperbolic metric in a half space. The aim of this contribution is to show how through a change of the basic combinatorial relations used in the modified quaternionic analysis the aforementioned Maple-software (that has been recently published on CD-Rom as integrated part of the text book "Funktionentheorie in der Ebene und im Raum" by K. G{\"u}rlebeck, K. Habetha, and W. Spr{\"o}ssig, in the series "Grundstudium Mathematik" of Birkh{\"a}user Verlag, 2006) can directly be used for numerical calculations in the modified theory.}, subject = {Architektur }, language = {en} } @inproceedings{ConstalesKrausshar, author = {Constales, Denis and Kraußhar, Rolf S{\"o}ren}, title = {ON THE NAVIER-STOKES EQUATION WITH FREE CONVECTION IN STRIP DOMAINS AND 3D TRIANGULAR CHANNELS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2938}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29387}, pages = {12}, abstract = {The Navier-Stokes equations and related ones can be treated very elegantly with the quaternionic operator calculus developed in a series of works by K. Guerlebeck, W. Sproeossig and others. This study will be extended in this paper. In order to apply the quaternionic operator calculus to solve these types of boundary value problems fully explicitly, one basically needs to evaluate two types of integral operators: the Teodorescu operator and the quaternionic Bergman projector. While the integral kernel of the Teodorescu transform is universal for all domains, the kernel function of the Bergman projector, called the Bergman kernel, depends on the geometry of the domain. With special variants of quaternionic holomorphic multiperiodic functions we obtain explicit formulas for three dimensional parallel plate channels, rectangular block domains and regular triangular channels. The explicit knowledge of the integral kernels makes it then possible to evaluate the operator equations in order to determine the solutions of the boundary value problem explicitly.}, subject = {Architektur }, language = {en} } @book{DamischHeilmannBocketal., author = {Damisch, Hubert and Heilmann, Thomas and Bock, Wolfgang and Reichert, Ram{\´o}n and Vogl, Joseph and Bergermann, Ulrike and Leonhard, Karin and Weiberg, Birk and Kirchmann, Kay and Bexte, Peter and Lauper, Anja and Brandstetter, Thomas and Kuni, Verena and Kursell, Julia and Sch{\"a}fer, Armin and Witzgall, Susanne and Becker, Lutz}, title = {Wolken}, editor = {Engell, Lorenz and Siegert, Bernhard and Vogl, Joseph}, publisher = {Verl. der Bauhaus-Universit{\"a}t}, address = {Weimar}, isbn = {3-86068-267-9}, doi = {10.25643/bauhaus-universitaet.1870}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20130318-18708}, pages = {199}, abstract = {Aufsatzsammlung der Reihe: Archiv f{\"u}r Mediengeschichte 2005. Die Beitr{\"a}ge liefern unterschiedliche Ausschnitte aus einer Medien- und Wissensgeschichte der Wolke und sehen die Wolke als ein Motiv f{\"u}r die Selbstinterpretation zeitgen{\"o}ssischer Kultur.}, subject = {Wolke}, language = {de} }