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| Title: | Proper generalized decomposition based dynamic data-driven control of material forming processes |
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| Author: | Ghnatios, Ch.; Masson, F.; Huerta, Antonio; Leygue, Adrien; Cueto Prendes, Elias; Chinesta, Francisco |
| Other authors: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
| Abstract: | |
| Abstract: | |
| Subject(s): | -Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics -Numerical analysis -Dynamic Data-Driven Application Systems—DDDAS—appear as a new paradigm in the field of applied sciences and engineering -and in particular in Simulation-based Engineering Sciences. By DDDAS we mean a set of techniques that allow to link simulation tools with measurement devices for real-time control of systems and processes. In this paper a novel simulation technique is developed with an eye towards its employ in the field of DDDAS. The main novelty of this technique relies in the consideration of parameters of the model as new dimensions in the parametric space. Such models often live in highly multidimensional spaces suffering the so-called curse of dimensionality. To avoid this problem related to mesh-based techniques -in this work an approach based upon the Proper Generalized Decomposition—PGD—is developed -which is able to circumvent the redoubtable curse of dimensionality. -Anàlisi numèrica -Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods |
| Rights: | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| Document type: | Article - Submitted version Article |
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