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Section: New Results

European Initiatives

FP7 Projects

TERRIFIC
  • Title: Towards Enhanced Integration of Design and Production in the Factory of the Future through Isogeometric Technologies

  • Type: COOPERATION (ICT)

  • Defi: PPP FoF: Digital factories: Manufactoring design and product lifecycle manage

  • Instrument: Specific Targeted Research Project (STREP)

  • Duration: September 2011 - August 2014

  • Coordinator: SINTEF, Oslo (Norway)

  • Others partners:

    Alenia Aeronautica (Italy) INRIA Méditerranée (France); Jozef Kepler universitet, Linz (Austria) JOTNE, Oslo (Norway); MAGNA, Steyr (Austria); Missler Software (France); Siemens AG (Germany); Technische Universität Kaiserslautern (Germany); University of Pavia (Italy).

  • See also: http://terrific-project.eu

  • Abstract: The project aims at significant improvement of the interoperability of computational tools for the design, analysis and optimization of functional products. An isogeometric approach is applied for selected manufacturing application areas (cars, trains, aircraft) and for computer-aided machining. Computer Aided Design and numerical simulation algorithms are vital technologies in modern product development, yet they are today far from being seamlessly integrated. Their interoperability is severely disturbed by inconsistencies in the mathematical approaches used. Efficient feedback from analysis to CAD and iterative refinement of the analysis model is a feature of isogeometric analysis, and would be an essential improvement for computer-based design optimization and virtual product development. Our vision is to provide and disseminate tangible evidence of the performance of the isogeometric approach in comparison to traditional ones in four important application areas as well as addressing interoperability and other issues that necessarily arise in a large-scale industrial introduction of isogeometry.

EXCITING
  • Title: Exact geometry simulation for optimized design of vehicles and vessels

  • Type: FP7-CP-SST-2007-RTD-1-218536, COOPERATION (TRANSPORTS)

  • Instrument: Specific Targeted Research Project (STREP)

  • Duration: October 2008 - September 2011

  • Coordinator: Jozef Kepler universitet, Linz (Austria)

  • Others partners:

    SINTEF, Oslo (Norway); Siemens AG (Germany); National Technical University of Athens (Greece); Hellenic Register of Shipping (Greece); University of Technology, Munich (Germany); INRIA Méditerranée (France); VA Tech Hydro (Austria); Det Norske Veritas AS (Norway).

  • See also: http://exciting-project.eu/

  • Abstract: This project focuses on computational tools for the optimized design of functional free-form surfaces. Specific applications are ship hulls and propellers in naval engineering and car components, frames, and turbochargers in the automotive and railway transportation industries. The objective is to base the corresponding computational tools on the same exact representation of the geometry. This should lead to huge benefits for the entire chain of design, simulation, optimization, and life cycle management, including a new class of computational tools for fluid dynamics and solid mechanics, simulations for vehicles and vessels based. This seamless integration of CAD and FEM will have direct applications in product design, simulation and optimization of core components of vehicles and vessels.

SAGA
  • Title: ShApe, Geometry and Algebra, 2008-2012

  • Type: FP7-PEOPLE-2007-1-1-ITN.

  • Instrument: Initial Training Network (ITN)

  • Duration: November 2008 - October 2012

  • Coordinator: SINTEF (Norway)

  • Others partners: University of Oslo (Norway); Johannes Kepler Universitaet Linz (Austria); Universidad de Cantabria, Santander (Spain); Vilniaus Universitetas (Lithuany); National and Kapodistrian University of Athens (Greece); INRIA Méditerranée (France); GraphiTech (Italy); Kongsberg SIM GmbH (Austria); Missler Software (France);

  • See also: http://saga-network.eu/ .

  • Abstract: The project aims at promoting the interaction between Geometric Modeling and Real Algebraic Geometry and, in general, at strengthening interdisciplinary and inter-sectorial research and development concerning CAD/CAM. Its objective is also to train a new generation of researchers familiar with both academic and industry viewpoints, while supporting the cooperation among the partners and with other interested collaborators in Europe.

DECONSTRUCT
  • Title:Decomposition of Structured Tensors, Algorithms and Characterization.

  • Type: PEOPLE (FP7-PEOPLE-2009-IEF)

  • Instrument: Marie Curie Intra-European Fellowships for Career Development (IEF)

  • Duration: November 2010 - November 2012

  • Coordinator: INRIA (France)

  • Others partners: No.

  • See also: http://www-sop.inria.fr/teams/galaad/joomla/index.php/international-collaborations-147/172-deconstruct.html

  • Abstract: Tensors play a wide role in numerous application areas as Signal Processing for Telecommunications, Arithmetic Complexity or Data Analysis. In some applications tensors may be completely symmetric, or symmetric only in some modes, or may not be symmetric. In most of these applications, the decomposition of a tensor into a sum of rank-1 terms is relevant, since tensors of interest have a reduced rank. Most of them are structured i.e. they are either symmetric or enjoy some index-invariance. Lastly, they are often real, which raises open problems concerning the existence and calculation of the decompositions. These issues build the basic bricks of the research program we propose. The classes of tensors described above have a geometric translation in terms of classical algebraic varieties: Segre, Veronese, Segre-Veronese varieties and Grassmannians and their secant varieties. A complete description of equations for those secant varieties and their dimensions is still not known (only dimensions of secant varieties to Veronsean are classified), although they have been studied by algebraic and differential geometers and algebraists for a long period up to now. The aim of this research project is:

    • to attack both the description of the ideal of those secant varieties and their dimensions, starting from low dimensions and low degrees,

    • to propose algorithms able to compute the rank of structured tensors.