Refine
Document Type
- Conference Proceeding (51)
- Article (41)
- Doctoral Thesis (23)
- Master's Thesis (3)
- Bachelor Thesis (2)
- Periodical (2)
- Report (2)
- Book (1)
Institute
- Institut für Strukturmechanik (ISM) (40)
- In Zusammenarbeit mit der Bauhaus-Universität Weimar (18)
- Professur Angewandte Mathematik (9)
- Bauhaus-Institut für Geschichte und Theorie der Architektur und Planung (8)
- Professur Stochastik und Optimierung (7)
- F. A. Finger-Institut für Baustoffkunde (FIB) (6)
- Junior-Professur Computational Architecture (6)
- Institut für Europäische Urbanistik (5)
- Graduiertenkolleg 1462 (4)
- Professur Informatik im Bauwesen (4)
Keywords
- Angewandte Mathematik (65)
- Building Information Modeling (36)
- Angewandte Informatik (35)
- Computerunterstütztes Verfahren (35)
- Data, information and knowledge modeling in civil engineering; Function theoretic methods and PDE in engineering sciences; Mathematical methods for (robotics and) computer vision; Numerical modeling in engineering; Optimization in engineering applications (34)
- Strukturmechanik (31)
- Architektur (9)
- Städtebau (7)
- Stochastik (5)
- Architecture (2)
- Beton (2)
- Cement (2)
- Finite-Elemente-Methode (2)
- Informatik (2)
- Kulturwissenschaft (2)
- Luci (2)
- Manifest (2)
- Manifesto (2)
- Medienwissenschaft (2)
- Rezeption (2)
- Rezeptionssteuerung (2)
- Stadtplanung (2)
- Zement (2)
- architecture (2)
- distributed computing (2)
- middleware (2)
- Abwasserleitung (1)
- Actor-Network-Theory (1)
- Aerodynamic (1)
- Agrarprodukt (1)
- Akteur-Netzwerk-Theorie (1)
- Alkali silica reaction (1)
- Alkali-Kieselsäure-Reaktion (1)
- Alkalisilikat (1)
- Alkalislikat (1)
- Anthropologie (1)
- António de Oliveira Salazar (1)
- Apparatgeist-Theorie (1)
- Arbeitsrecht (1)
- Architectual lighting (1)
- Architektur der Moderne (1)
- Architekturgeschichte (1)
- Ausstellung (1)
- Ausstellungstheorie (1)
- BIM; Building Information Modeling; site management; construction site. (1)
- Bauphysik (1)
- Baustelle (1)
- Bauteil (1)
- Beleuchtung (1)
- Beschichtung (1)
- Betonstraße (1)
- Bindemittel (1)
- Bodengestaltung (1)
- Bornitrid (1)
- Brasilia (1)
- Brasilien (1)
- Brazil; collective; residences; families; neighbourhoods; new middle class; private; self-production; space; urban (1)
- CAAD (1)
- CAD (1)
- CFRP (1)
- Complexation (1)
- Computer (1)
- Conservation (1)
- DLVO-Theorie (1)
- Data, information and knowledge modeling in civil engineering (1)
- Dauerhaftigkeit (1)
- Design synthesis (1)
- Designgeschichte (1)
- Dictatorship (1)
- Duarte Pacheco (1)
- Eigenform (1)
- Encosta Da Ajuda/Restelo (1)
- Energieeinsparung (1)
- Europe (1)
- Evolutionary algorithm (1)
- Facility Management (1)
- Faltung (1)
- Faria Da Costa (1)
- Fascism (1)
- Fly ash (1)
- Fläche (1)
- Flächenallokation (1)
- Flächenmanagement (1)
- Flächenoptimierung (1)
- Flächensteuerung (1)
- Flächensteuerungsmodell (1)
- Flächenverteilung (1)
- Function theoretic methods and PDE in engineering sciences (1)
- GaBi Software (1)
- Gasverteilungsnetz (1)
- Gebäude (1)
- Gemeinschaftsgarten (1)
- Geographie (1)
- Gustavo Giovannoni (1)
- Hochschule (1)
- Holzbau (1)
- Homogenization (1)
- Hydration and microstructure (1)
- Individual Sociology (1)
- Information Visualization (1)
- Instandsetzung (1)
- Internal pozzolanic reactivity (1)
- Istanbul (1)
- Italy, Rome (1)
- Joseph Stübben (1)
- Kohlenstoff (1)
- Kohlenstofffaserverstärkter Kunststoff (1)
- Konservierung (1)
- Konstruktion (1)
- Kryptologie (1)
- Kultur (1)
- Kulturaustausch (1)
- Kulturerbe (1)
- Laser Scanner (1)
- Leichtbau (1)
- Leiharbeit (1)
- Limestone powder (1)
- Macro-mesoporous structure (1)
- Marcello Piacentini (1)
- Massendaten (1)
- Material (1)
- Materialität (1)
- Materialversagen (1)
- Mathematical methods for (robotics and) computer vision (1)
- Mathematik (1)
- Medien (1)
- Mittelstand (1)
- Mix design method (1)
- Multi-criteria (1)
- Multi-objective Evolutionary Optimization, Elitist Non- Dominated Sorting Evolution Strategy (ENSES), Sandwich Structure, Pareto-Optimal Solutions, Evolutionary Algorithm (1)
- Multiscale modeling (1)
- Nanocomposite materials (1)
- Nanoverbundstruktur (1)
- Nanowissenschaften (1)
- Numerical modeling in engineering (1)
- Nutzungsgrad (1)
- Optimierung (1)
- Optimization (1)
- Optimization in engineering applications (1)
- Outsourcing (1)
- Papierware (1)
- Particle size distribution (1)
- Perkolationstheorie (1)
- Plagiarism Visualization (1)
- Platte (1)
- Polymere (1)
- Preferential Choice (1)
- Product Search (1)
- Produktgestaltung (1)
- Radioastronomie (1)
- ReCiPe (1)
- Reception (1)
- Reparatur (1)
- Retardation (1)
- Rheological property (1)
- Rice husk ash (1)
- Rohrleitungsbau (1)
- Rohrnetz (1)
- Ruine (1)
- Sandwichbauteil (1)
- Sanierung (1)
- Schall (1)
- School Institution (1)
- Schwingung (1)
- Second World War (1)
- Seidenstraße (1)
- Self-compacting high performance concrete (1)
- Sensitivitätsanalyse (1)
- Setting agent (1)
- Silikat (1)
- Silikatbeschichtung (1)
- Simulation (1)
- Slag (1)
- Smartphone (1)
- Socio-spatiality (1)
- Socio-urban Exclusion (1)
- Spaziergang (1)
- Sprayed concrete (1)
- Spritzbeton (1)
- Spritzzement (1)
- Stadtgestaltung (1)
- Stadtsoziologie (1)
- Stahlbau (1)
- Stochastic analysis (1)
- Sulfatträger (1)
- Superplasticizer (1)
- Supplementary cementitious materials (1)
- Text-based Visualization (1)
- Tragendes Teil (1)
- Tricalcium silicate (1)
- Umbau (1)
- Umwandlung (1)
- Umweltbelastungspunkte (1)
- Umweltbilanz (1)
- Universität (1)
- Urban Heritage (1)
- Urban Social Movements (1)
- Urban Sociology (1)
- Urbanism (1)
- Urbanität (1)
- Verbund (1)
- Verbundwerkstoff (1)
- Versorgungsleitung (1)
- Vibrometer (1)
- Virtuelle Realität (1)
- Visualisierung (1)
- Vorspannung (1)
- Wasserglas (1)
- Wasserrohrnetz (1)
- Wellpappe (1)
- Werkstoffkunde (1)
- Wohnen (1)
- Wohnsitz (1)
- Wohnung (1)
- Wärmeleitfähigkeit (1)
- Xiyü-Kultur (1)
- Zementart (1)
- aerodynamic (1)
- affordance (1)
- alternative spaces (1)
- architecture, urbanism, dictatorship, Lisbon, Faria da Costa (1)
- asiatische Kultur (1)
- associative space (1)
- authenticated encryption (1)
- bridge (1)
- city extension (1)
- civic center (1)
- civic design (1)
- communal space (1)
- community gardens (1)
- composite (1)
- cplan (1)
- development (1)
- dictatorial design (1)
- dictatorship (1)
- discourse analysis (1)
- economic houses program (1)
- elasticity (1)
- external pozzolanic reactivity (1)
- facility management (1)
- gated community (1)
- geometry (1)
- harmonic (1)
- hash functions (1)
- higher education (1)
- housing typologies (1)
- human touch (1)
- inclusive design (1)
- industrialization (1)
- isogeometric methods (1)
- living heritage site (1)
- material (1)
- material failure (1)
- mathematics (1)
- media anthropology, anthropomediality, anthropological knowledge, museum exhibitions, diorama, relationality (1)
- multiscale (1)
- nanocomposite (1)
- password scrambler (1)
- pavement (1)
- policy objectives (1)
- political intention (1)
- politische Repräsentation (1)
- preservation (1)
- prestress (1)
- provable security (1)
- quaternion (1)
- reception (1)
- regional planning (1)
- reinforcement (1)
- rural (1)
- school of architecture (1)
- scientific visualization, virtual environments, Big Data, radio astronomy (1)
- social housing (1)
- social network analysis (1)
- space (1)
- space allocation (1)
- space management (1)
- space management model (1)
- space optimization (1)
- stochastic (1)
- structure (1)
- symbolische Bildwelt (1)
- symmetric crypto (1)
- territorial policies (1)
- the bottom-up approach to urban planning (1)
- timber structure (1)
- town planning (1)
- transition (1)
- tuned mass damper (1)
- university (1)
- urban agriculture (1)
- urban beekeeping (1)
- urban design (1)
- urban history, urban design, fascist period, sport city, Rome, Enrico Del Debbio (1)
- urban sociology (1)
- urban studies (1)
- westliche Kultur (1)
- wind (1)
- Étienne de Groër (1)
- Ökobilanz (1)
- Überhitzung (1)
Year of publication
- 2015 (125) (remove)
Methods based on B-splines for model representation, numerical analysis and image registration
(2015)
The thesis consists of inter-connected parts for modeling and analysis using newly developed isogeometric methods. The main parts are reproducing kernel triangular B-splines, extended isogeometric analysis for solving weakly discontinuous problems, collocation methods using superconvergent points, and B-spline basis in image registration applications.
Each topic is oriented towards application of isogeometric analysis basis functions to ease the process of integrating the modeling and analysis phases of simulation.
First, we develop reproducing a kernel triangular B-spline-based FEM for solving PDEs. We review the triangular B-splines and their properties. By definition, the triangular basis function is very flexible in modeling complicated domains. However, instability results when it is applied for analysis. We modify the triangular B-spline by a reproducing kernel technique, calculating a correction term for the triangular kernel function from the chosen surrounding basis. The improved triangular basis is capable to obtain the results with higher accuracy and almost optimal convergence rates.
Second, we propose an extended isogeometric analysis for dealing with weakly discontinuous problems such as material interfaces. The original IGA is combined with XFEM-like enrichments which are continuous functions themselves but with discontinuous derivatives. Consequently, the resulting solution space can approximate solutions with weak discontinuities. The method is also applied to curved material interfaces, where the inverse mapping and the curved triangular elements are considered.
Third, we develop an IGA collocation method using superconvergent points. The collocation methods are efficient because no numerical integration is needed. In particular when higher polynomial basis applied, the method has a lower computational cost than Galerkin methods. However, the positions of the collocation points are crucial for the accuracy of the method, as they affect the convergent rate significantly. The proposed IGA collocation method uses superconvergent points instead of the traditional Greville abscissae points. The numerical results show the proposed method can have better accuracy and optimal convergence rates, while the traditional IGA collocation has optimal convergence only for even polynomial degrees.
Lastly, we propose a novel dynamic multilevel technique for handling image registration. It is application of the B-spline functions in image processing. The procedure considered aims to align a target image from a reference image by a spatial transformation. The method starts with an energy function which is the same as a FEM-based image registration. However, we simplify the solving procedure, working on the energy function directly. We dynamically solve for control points which are coefficients of B-spline basis functions. The new approach is more simple and fast. Moreover, it is also enhanced by a multilevel technique in order to prevent instabilities. The numerical testing consists of two artificial images, four real bio-medical MRI brain and CT heart images, and they show our registration method is accurate, fast and efficient, especially for large deformation problems.