@article{ZhaoGuoRabczuk,
  author    = {Zhao, Jun-Hua and Guo, Wanlin and Rabczuk, Timon},
  title     = {An analytical molecular mechanics model for the elastic properties of crystalline polyethylene},
  series = {Journal of Applied Physics},
  journal   = {Journal of Applied Physics},
  doi       = {10.1063/1.4745035},
  abstract  = {We present an analytical model to relate the elastic properties of crystalline polyethylene based on a molecular mechanics approach. Along the polymer chains direction, the united-atom (UA) CH2-CH2 bond stretching, angle bending potentials are replaced with equivalent Euler-Bernoulli beams. Between any two polymer chains, the explicit formulae are derived for the van der Waals interaction represented by the linear springs of different stiffness. Then, the nine independent elastic constants are evaluated systematically using the formulae. The analytical model is finally validated by present united-atom molecular dynamics (MD) simulations and against available all-atom molecular dynamics results in the literature. The established analytical model provides an efficient route for mechanical characterization of crystalline polymers and related materials.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{Wudtke,
  author    = {Wudtke, Idna},
  title     = {CONSTITUTIVE MODELING OF CRYSTALLINE MATERIALS WITH TEXTURE CHARACTERISTICS},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2791},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27910},
  pages     = {9},
  abstract  = {The analysis of the response of complex structural systems requires the description of the material constitutive relations by means of an appropriate material model. The level of abstraction of such model may strongly affect the quality of the prognosis of the whole structure. In context to this fact, it is necessary to describe the material in a convenient sense as exact but as simple as possible. All material phenomena of crystalline materials e.g. steel, affecting the behavior of the structure, rely on physical effects which are interacting over spatial scales from subatomic to macroscopic range. Nevertheless, if the material is microscopically heterogenic, it might be appropriate to use phenomenological models for the purpose of civil engineering. Although constantly applied, these models are insufficient for steel materials with microscopic characteristics such as texture, typically occurring in hot rolled steel members or heat affected zones of welded joints. Hence, texture is manifested in crystalline materials as a regular crystallographic structure and crystallite orientation, influencing macroscopic material properties. The analysis of structural response of material with texture (e.g. rolled steel or heat affected zone of a welded joint) obliges the extension of the phenomenological material description of macroscopic scale by means of microscopic information. This paper introduces an enrichment approach for material models based on a hierarchical multiscale methodology. This has been done by describing the grain texture on a mesoscopic scale and coupling it with macroscopic constitutive relations by means of homogenization. Due to a variety of available homogenization methods, the question of an assessment of coupling quality arises. The applicability of the method and the effect of the coupling method on the reliability of the response are presented on an example.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@phdthesis{Wieteska,
  author    = {Wieteska, Marcin},
  title     = {Untersuchungen zur Optimierung des Feuerwiderstandsverhaltens von Gipsplatten},
  publisher = {Marcin Wieteska},
  address   = {Warszawa},
  isbn      = {978-83-936473-0-9},
  doi       = {10.25643/bauhaus-universitaet.1782},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20121207-17829},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {176},
  abstract  = {Die Qualit{\"a}t von Beplankungselementen wirkt sich deutlich auf den Feuerwiderstand von Metallst{\"a}nder-Wandkonstruktionen aus. Daher wurde im Rahmen dieser Arbeit der Einfluss von Zus{\"a}tzen in Gipsplatten bez{\"u}glich einer m{\"o}glichen Verbesserung dieser Eigenschaft untersucht. Zu diesem Zweck wurden spezielle, den jeweiligen Untersuchungsbedingungen angepasste Probek{\"o}rper unter Verwendung verschiedenster Zus{\"a}tze gefertigt. Die Beurteilung deren Auswirkungen erfolgte insbesondere mittels nachfolgender f{\"u}nf Kriterien: 1) dem Zeitpunkt der Temperaturerh{\"o}hung nach der Probek{\"o}rperentw{\"a}sserung, 2) dem Maximalwert der Plattenr{\"u}ckseitentemperatur, 3) der Gr{\"o}ße und der Anzahl der Risse, 4) der Plattenstabilit{\"a}t nach der W{\"a}rmebeanspruchung, 5) der Verk{\"u}rzung von prismatischen Probek{\"o}rpern. Besonders wichtig war hierbei die Charakterisierung der Auswirkungen einer simulierten Brandbeanspruchung von 970 °C {\"u}ber 90 Minuten auf Labor-Gipsplatten. Dabei wurde die Temperatur{\"a}nderung auf der Plattenr{\"u}ckseite {\"u}ber den gesamten Pr{\"u}fzeitraum kontinuierlich erfasst. Die Bewertung des Zusammenhalts der Platten nach der thermischen Beanspruchung erfolgte erstmals quantitativ {\"u}ber Anzahl und Gr{\"o}ße der an den Proben entstandenen Risse. Urs{\"a}chlich f{\"u}r die Rissbildung ist die Verringerung des Probek{\"o}rpervolumens infolge des ausgetriebenen Kristallwassers. Da dieser Parameter im Plattenversuch nicht bestimmt werden kann, wurde erg{\"a}nzend das L{\"a}ngen{\"a}nderungsverhalten von Prismen im Ergebnis einer 90min{\"u}tigen Temperung bei 1000 °C im Muffelofen ermittelt. Besonders vorteilhaft hat sich die Zugabe von 80 g/m2 Glasfasern und 7,75 \% Kalksteinmehl auf das Verhalten von Gipsplatten bei Brandbeanspruchung ausgewirkt. Diese Verbesserung ist insbesondere auf h{\"o}here Stabilit{\"a}t und geringere Schrumpfung der Gipsplatte zur{\"u}ckzuf{\"u}hren. Basierend auf den im Labormaßstab erhaltenen Ergebnissen wurden Rezepturvorschl{\"a}ge zur Verbesserung des Feuerwiderstandsverhaltens von Gipsplatten unter Praxisbedingungen entwickelt. Die Herstellung der erforderlichen großformatigen Platten erfolgte auf der Bandstraße der Knauf Gips KG. Diese Platten wurden als Wandkonstruktion mit zweilagiger Beplankung einer großtechnischen Pr{\"u}fung erfolgreich unterzogen. Eine geringere Durchbiegung der Wandkonstruktion, eine verminderte Volumenreduzierung der Platten sowie eine erh{\"o}hte Plattenstabilit{\"a}t belegen die verbesserten Eigenschaften dieser modifizierten Feuerschutzplatte. Weitere durchgef{\"u}hrte Untersuchungen ergaben, dass es unerheblich ist, ob die Platten auf Basis von Natur- oder REA-Gips bzw. mit hohem oder niedrigem Fl{\"a}chengewicht gefertigt wurden. Das eindeutig beste Ergebnis mit einer Feuerwiderstandsdauer von 118 Minuten hat eine Wandkonstruktion aus Feuerschutzplatten auf Basis eines Stuckgipses aus 100 \% REA-Gips mit einem Anteil von 83,9 g/m2 Glasfasern und 1 \% Vermiculit und einem Fl{\"a}chengewicht von 10,77 kg/m2, bei einer Plattenst{\"a}rke von 12,5 mm. Die als Ziel vorgebende Feuerwiderstandsdauer von 120 Minuten bei zweilagiger Beplankung ohne D{\"a}mmstoff k{\"o}nnte k{\"u}nftig erreicht werden, wenn es gelingt, die Volumenreduzierung noch besser zu kompensieren und die Plattenstabilit{\"a}t zu steigern. Eine M{\"o}glichkeit hierzu ist die Substitution der beidseitigen Kartonlagen durch eine Glasfaser-Vliesummantelung. Die Wandkonstruktion W112 ohne D{\"a}mmstoff erreicht dabei eine Feuerwiderstandsdauer von weit {\"u}ber 120 Minuten, wobei der Gipskern mit Glasfasern armiert ist.},
  subject      = {0947},
  language  = {de}
}
@phdthesis{Wendler,
  author    = {Wendler, Andr{\´e}},
  title     = {Anachronismen: Historiografie und Kino},
  doi       = {10.25643/bauhaus-universitaet.1799},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20121219-17991},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {284+81},
  abstract  = {Die Arbeit »Anachronismen: Historiografie und Kino« geht von einer zun{\"a}chst einfachen Beobachtung aus: beinahe immer, wenn Historiker_innen sich mit Geschichtsfilmen auseinander setzen, findet sich die lautstark gef{\"u}hrte Beschwerde {\"u}ber die zahlreichen und vermeidbaren Anachronismen der Filme, die sie als ernst zu nehmende historiografische Beitr{\"a}ge desavouieren. Von hier ausgehend verfolgt die Arbeit ein dreifaches Projekt: zun{\"a}chst in einer kritischen Analyse geschichtstheoretischer Texte einige Hinweise f{\"u}r den Status von Anachronismen f{\"u}r die moderne westliche Historiografie zu gewinnen. Zweitens zu untersuchen, welche Rolle Anachronismen f{\"u}r den Geschichtsfilm spielen. Und drittens von dort aus das epistemische Potential anachronistischen Geschichtskinos zu untersuchen. Eine der Hauptthesen, welche den Blick sowohl auf die Filme wie auf die theoretischen Texte leitet, besagt, dass Anachronismen genau jene Punkte sind, an denen die Medien einer jeden Geschichtsschreibung beobachtbar werden. Die Beobachtung und Beschreibung dieser Medien der kinematografischen Geschichtsschreibung unternimmt die Arbeit unter Zuhilfenahme einiger theoretischer {\"U}berlegungen der Actor Network Theory (ANT). Die Arbeit ist in vier Kapitel gegliedert, in deren Zentrum jeweils die Diskussion eines ANT-Begriffs sowie die Analyse eines Geschichtsfilmes steht. Zu den untersuchten Filmen geh{\"o}ren Shutter Island (Martin Scorsese, 2010), Chronik der Anna Magdalena Bach (Jean-Marie Straub/Dani{\`e}le Huillet, 1968), Cleopatra (Joseph L. Mankiewicz, 1963) und Caravaggio (Derek Jarman, 1986). Die Arbeit kommentiert außerdem theoretische Texte zur Historiografie und zu Anachronismen von Walter Benjamin, Leo Bersani, Georges Didi-Huberman, Siegfried Kracauer, Friedrich Meinecke, Friedrich Nietzsche, Jacques Ranci{\`e}re, Leopold Ranke, Paul Ricœur, Georg Simmel, Hayden White u. a.},
  subject      = {Geschichtsschreibung},
  language  = {de}
}
@incollection{Wasserek,
  author    = {Wasserek, Moritz},
  title     = {Enhanced E-Books : Ver{\"a}nderungen und Chancen f{\"u}r Akteure der Buchbranche durch die Einf{\"u}hrung elektronischer Leseger{\"a}te},
  series = {Alles digital? : E-Books in Studium und Lehre},
  booktitle = {Alles digital? : E-Books in Studium und Lehre},
  publisher = {Verlag der Bauhaus-Universit{\"a}t},
  address   = {Weimar},
  doi       = {10.25643/bauhaus-universitaet.1599},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20120404-15996},
  pages     = {96 -- 110},
  abstract  = {Beitrag w{\"a}hrend der Weimarer EDOC-Tage 2011},
  subject      = {E-Book-Reader},
  language  = {de}
}
@phdthesis{UrbinaCazenave,
  author    = {Urbina Cazenave, Mario Humberto},
  title     = {Gaze Controlled Applications and Optical-See-Through Displays - General Conditions for Gaze Driven Companion Technologies},
  doi       = {10.25643/bauhaus-universitaet.1749},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20121107-17492},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {106},
  abstract  = {Gaze based human-computer-interaction has been a research topic for over a quarter century. Since then, the main scenario for gaze interaction has been helping handicapped people to communicate an interact with their environment. With the rapid development of mobile and wearable display technologies, a new application field for gaze interaction has appeared, opening new research questions. This thesis investigates the feasibility of mobile gaze based interaction, studying deeply the use of pie menus as a generic and robust widget for gaze interaction as well as visual and perceptual issues on head mounted (wearable) optical see-through displays. It reviews conventional gaze-based selection methods and investigates in detail the use of pie menus for gaze control. It studies and discusses layout issues, selection methods and applications. Results show that pie menus can allocate up to six items in width and multiple depth layers, allowing a fast and accurate navigation through hierarchical levels by using or combining multiple selection methods. Based on these results, several text entry methods based on pie menus are proposed. Character-by-character text entry, text entry with bigrams and with text entry with bigrams derived by word prediction, as well as possible selection methods, are examined in a longitudinal study. Data showed large advantages of the bigram entry methods over single character text entry in speed and accuracy. Participants preferred the novel selection method based on saccades (selecting by borders) over the conventional and well established dwell time method. On the one hand, pie menus showed to be a feasible and robust widget, which may enable the efficient use of mobile eye tracking systems that may not be accurate enough for controlling elements on conventional interface. On the other hand, visual perception on mobile displays technologies need to be examined in order to deduce if the mentioned results can be transported to mobile devices. Optical see-through devices enable observers to see additional information embedded in real environments. There is already some evidence of increasing visual load on the respective systems. We investigated visual performance on participants with a visual search tasks and dual tasks presenting visual stimuli on the optical see-through device, only on a computer screen, and simultaneously on both devices. Results showed that switching between the presentation devices (i.e. perceiving information simultaneously from both devices) produced costs in visual performance. The implications of these costs and of further perceptual and technical factors for mobile gaze-based interaction are discussed and solutions are proposed.},
  subject      = {Eye tracking movement},
  language  = {en}
}
@incollection{Upmeier,
  author    = {Upmeier, Arne},
  title     = {E-Books : Die Frustrationen des Urheberrechts},
  series = {Alles digital? : E-Books in Studium und Lehre},
  booktitle = {Alles digital? : E-Books in Studium und Lehre},
  publisher = {Verlag der Bauhaus-Universit{\"a}t},
  address   = {Weimar},
  doi       = {10.25643/bauhaus-universitaet.1595},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20120404-15954},
  pages     = {66 -- 71},
  abstract  = {Beitrag w{\"a}hrend der Weimarer EDOC-Tage 2011},
  subject      = {Elektronisches Buch},
  language  = {de}
}
@incollection{Trommershausen,
  author    = {Trommershausen, Anke},
  title     = {Die schwerelose {\"O}konomie auf der Suche nach ihrem Gewicht : wissenschaftliche E-Books in den USA},
  series = {Alles digital? : E-Books in Studium und Lehre},
  booktitle = {Alles digital? : E-Books in Studium und Lehre},
  publisher = {Verlag der Bauhaus-Universit{\"a}t},
  address   = {Weimar},
  doi       = {10.25643/bauhaus-universitaet.1598},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20120404-15987},
  pages     = {80 -- 92},
  abstract  = {Beitrag w{\"a}hrend der Weimarer EDOC-Tage 2011},
  subject      = {Elektronisches Buch},
  language  = {de}
}
@article{TonnTatarin,
  author    = {Tonn, Christian and Tatarin, Ren{\´e}},
  title     = {Volumen Rendering in der Architektur: {\"U}berlagerung und Kombination von 3D Voxel Volumendaten mit 3D Geb{\"a}udemodellen},
  doi       = {10.25643/bauhaus-universitaet.2671},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20160822-26718},
  abstract  = {Volumerendering ist eine Darstellungstechnik, um verschiedene r{\"a}umliche Mess- und Simulationsdaten anschaulich, interaktiv grafisch darzustellen. Im folgenden Beitrag wird ein Verfahren vorgestellt, mehrere Volumendaten mit einem Architekturfl{\"a}chenmodell zu {\"u}berlagern. Diese komplexe Darstellungsberechnung findet mit hardwarebeschleunigten Shadern auf der Grafikkarte statt. Im Beitrag wird hierzu der implementierte Softwareprototyp "VolumeRendering" vorgestellt. Neben dem interaktiven Berechnungsverfahren wurde ebenso Wert auf eine nutzerfreundliche Bedienung gelegt. Das Ziel bestand darin, eine einfache Bewertung der Volumendaten durch Fachplaner zu erm{\"o}glichen. Durch die {\"U}berlagerung, z. B. verschiedener Messverfahren mit einem Fl{\"a}chenmodell, ergeben sich Synergien und neue Auswertungsm{\"o}glichkeiten. Abschließend wird anhand von Beispielen aus einem interdisziplin{\"a}ren Forschungsprojekt die Anwendung des Softwareprototyps illustriert.},
  subject      = {Multiple Volume Rendering},
  language  = {de}
}
@article{ThaiNguyenXuanNguyenThanhetal.,
  author    = {Thai, Chien H. and Nguyen-Xuan, Hung and Nguyen-Thanh, Nhon and Le, T.H. and Nguyen-Thoi, T. and Rabczuk, Timon},
  title     = {Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  doi       = {10.1002/nme.4282},
  pages     = {571 -- 603},
  abstract  = {This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiZiSilanietal.,
  author    = {Talebi, Hossein and Zi, Goangseup and Silani, Mohammad and Samaniego, Esteban and Rabczuk, Timon},
  title     = {A simple circular cell method for multilevel finite element analysis},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2012/526846},
  abstract  = {A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiZiSilanietal.,
  author    = {Talebi, Hossein and Zi, Goangseup and Silani, Mohammad and Samaniego, Esteban and Rabczuk, Timon},
  title     = {A simple circular cell method for multilevel finite element analysis},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2012/526846},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170426-31639},
  abstract  = {A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{TalebiSamaniegoSamaniegoetal.,
  author    = {Talebi, Hossein and Samaniego, C. and Samaniego, Esteban and Rabczuk, Timon},
  title     = {On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  doi       = {10.1002/nme.3275},
  pages     = {1009 -- 1027},
  abstract  = {Meshfree methods (MMs) such as the element free Galerkin (EFG)method have gained popularity because of some advantages over other numerical methods such as the finite element method (FEM). A group of problems that have attracted a great deal of attention from the EFG method community includes the treatment of large deformations and dealing with strong discontinuities such as cracks. One efficient solution to model cracks is adding special enrichment functions to the standard shape functions such as extended FEM, within the FEM context, and the cracking particles method, based on EFG method. It is well known that explicit time integration in dynamic applications is conditionally stable. Furthermore, in enriched methods, the critical time step may tend to very small values leading to computationally expensive simulations. In this work, we study the stability of enriched MMs and propose two mass-lumping strategies. Then we show that the critical time step for enriched MMs based on lumped mass matrices is of the same order as the critical time step of MMs without enrichment. Moreover, we show that, in contrast to extended FEM, even with a consistent mass matrix, the critical time step does not vanish even when the crack directly crosses a node.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{SuzukiLawrynowiczNounoetal.,
  author    = {Suzuki, Osamu and Lawrynowicz, Julian and Nouno, Kiyoharu and Nagayama, Daiki},
  title     = {BINARY AND TERNARY CLIFFORD ANALYSIS ON NONION ALGEBRA AND SU(3)},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2788},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27880},
  pages     = {12},
  abstract  = {A concept of non-commutative Galois extension is introduced and binary and ternary extensions are chosen. Non-commutative Galois extensions of Nonion algebra and su(3) are constructed. Then ternary and binary Clifford analysis are introduced for non-commutative Galois extensions and the corresponding Dirac operators are associated.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{StutzWuttke,
  author    = {Stutz, Henning and Wuttke, Frank},
  title     = {EVALUATION OF SOIL-STRUCTURE INTERACTION MODELS USING DIFFERENT MODEL-ROBUSTNESS APPROACHES},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2787},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27878},
  pages     = {15},
  abstract  = {The aim of this study is to show an application of model robustness measures for soilstructure interaction (henceforth written as SSI) models. Model robustness defines a measure for the ability of a model to provide useful model answers for input parameters which typically have a wide range in geotechnical engineering. The calculation of SSI is a major problem in geotechnical engineering. Several different models exist for the estimation of SSI. These can be separated into analytical, semi-analytical and numerical methods. This paper focuses on the numerical models of SSI specific macro-element type models and more advanced finite element method models using contact description as continuum or interface elements. A brief description of the models used is given in the paper. Following this description, the applied SSI problem is introduced. The observed event is a static loaded shallow foundation with an inclined load. The different partial models to consider the SSI effects are assessed using different robustness measures during numerical application. The paper shows the investigation of the capability to use these measures for the assessment of the model quality of SSI partial models. A variance based robustness and a mathematical robustness approaches are applied. These different robustness measures are used in a framework which allows also the investigation of computational time consuming models. Finally the result shows that the concept of using robustness approaches combined with other model-quality indicators (e.g. model sensitivity or model reliability) can lead to unique model-quality assessment for SSI models.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@phdthesis{Stein,
  author    = {Stein, Peter},
  title     = {Procedurally generated models for Isogeometric Analysis},
  publisher = {Universit{\"a}tsverlag},
  address   = {Weimar},
  isbn      = {978-3-86068-488-7},
  doi       = {10.25643/bauhaus-universitaet.1848},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20130212-18483},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {82},
  abstract  = {Increasingly powerful hard- and software allows for the numerical simulation of complex physical phenomena with high levels of detail. In light of this development the definition of numerical models for the Finite Element Method (FEM) has become the bottleneck in the simulation process. Characteristic features of the model generation are large manual efforts and a de-coupling of geometric and numerical model. In the highly probable case of design revisions all steps of model preprocessing and mesh generation have to be repeated. This includes the idealization and approximation of a geometric model as well as the definition of boundary conditions and model parameters. Design variants leading to more resource-efficient structures might hence be disregarded due to limited budgets and constrained time frames. A potential solution to above problem is given with the concept of Isogeometric Analysis (IGA). Core idea of this method is to directly employ a geometric model for numerical simulations, which allows to circumvent model transformations and the accompanying data losses. Basis for this method are geometric models described in terms of Non-uniform rational B-Splines (NURBS). This class of piecewise continuous rational polynomial functions is ubiquitous in computer graphics and Computer-Aided Design (CAD). It allows the description of a wide range of geometries using a compact mathematical representation. The shape of an object thereby results from the interpolation of a set of control points by means of the NURBS functions, allowing efficient representations for curves, surfaces and solid bodies alike. Existing software applications, however, only support the modeling and manipulation of the former two. The description of three-dimensional solid bodies consequently requires significant manual effort, thus essentially forbidding the setup of complex models. This thesis proposes a procedural approach for the generation of volumetric NURBS models. That is, a model is not described in terms of its data structures but as a sequence of modeling operations applied to a simple initial shape. In a sense this describes the "evolution" of the geometric model under the sequence of operations. In order to adapt this concept to NURBS geometries, only a compact set of commands is necessary which, in turn, can be adapted from existing algorithms. A model then can be treated in terms of interpretable model parameters. This leads to an abstraction from its data structures and model variants can be set up by variation of the governing parameters. The proposed concept complements existing template modeling approaches: templates can not only be defined in terms of modeling commands but can also serve as input geometry for said operations. Such templates, arranged in a nested hierarchy, provide an elegant model representation. They offer adaptivity on each tier of the model hierarchy and allow to create complex models from only few model parameters. This is demonstrated for volumetric fluid domains used in the simulation of vertical-axis wind turbines. Starting from a template representation of airfoil cross-sections, the complete "negative space" around the rotor blades can be described by a small set of model parameters, and model variants can be set up in a fraction of a second. NURBS models offer a high geometric flexibility, allowing to represent a given shape in different ways. Different model instances can exhibit varying suitability for numerical analyses. For their assessment, Finite Element mesh quality metrics are regarded. The considered metrics are based on purely geometric criteria and allow to identify model degenerations commonly used to achieve certain geometric features. They can be used to decide upon model adaptions and provide a measure for their efficacy. Unfortunately, they do not reveal a relation between mesh distortion and ill-conditioning of the equation systems resulting from the numerical model.},
  subject      = {NURBS},
  language  = {en}
}
@inproceedings{Simsek,
  author    = {Simsek, Yilmaz},
  title     = {ON INTERPOLATION FUNCTION OF THE BERNSTEIN POLYNOMIALS},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2786},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27867},
  pages     = {8},
  abstract  = {The Bernstein polynomials are used for important applications in many branches of Mathematics and the other sciences, for instance, approximation theory, probability theory, statistic theory, num- ber theory, the solution of the di\ierential equations, numerical analysis, constructing Bezier curves, q-calculus, operator theory and applications in computer graphics. The Bernstein polynomials are used to construct Bezier curves. Bezier was an engineer with the Renault car company and set out in the early 1960's to develop a curve formulation which would lend itself to shape design. Engineers may …nd it most understandable to think of Bezier curves in terms of the center of mass of a set of point masses. Therefore, in this paper, we study on generating functions and functional equations for these polynomials. By applying these functions, we investigate interpolation function and many properties of these polynomials.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{SimpsonBordasTrevelyanetal.,
  author    = {Simpson, R. and Bordas, St{\´e}phane Pierre Alain and Trevelyan, J. and Kerfriden, Pierre and Rabczuk, Timon},
  title     = {An Isogeometric Boundary Element Method for elastostatic analysis},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  doi       = {10.1016/j.cma.2011.08.008},
  abstract  = {The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@misc{SimonRitzLiehr,
  author    = {Simon-Ritz, Frank and Liehr, Harald S.},
  title     = {Das Urheberrecht - ein Pulverfass f{\"u}r Lehre und Forschung},
  doi       = {10.25643/bauhaus-universitaet.1775},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20121130-17753},
  abstract  = {Radiodiskussion bei bauhaus.fm am 5. November 2012. Harald S. Liehr ist Lektor und Leiter der Niederlassung Weimar des B{\"o}hlau-Verlags (Wien / K{\"o}ln / Weimar), Dr. Frank Simon-Ritz ist Direktor der Universit{\"a}tsbibliothek der Bauhaus-Universit{\"a}t Weimar. Die Fragen stellten Ren{\´e} Tauschke und Jean-Marie Schaldach.},
  subject      = {Urheberrecht},
  language  = {de}
}
@incollection{SimonRitz,
  author    = {Simon-Ritz, Frank},
  title     = {E-Books an einer kleinen Universit{\"a}tsbibliothek : Probleme und Perspektiven},
  series = {Alles digital? : E-Books in Studium und Lehre},
  booktitle = {Alles digital? : E-Books in Studium und Lehre},
  publisher = {Verlag der Bauhaus-Universit{\"a}t},
  address   = {Weimar},
  doi       = {10.25643/bauhaus-universitaet.1597},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20120404-15977},
  pages     = {74 -- 77},
  abstract  = {Beitrag w{\"a}hrend der Weimarer EDOC-Tage 2011},
  subject      = {Bibliothek},
  language  = {de}
}