A door to model reduction in high-dimensional parameter space |
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Authors: | Charles Paillet David Néron Pierre Ladevèze |
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Affiliation: | LMT (ENS Paris-Saclay, CNRS, Université Paris-Saclay), 61, avenue du Président-Wilson, 94235 Cachan cedex, France |
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Abstract: | Model reduction techniques such as Proper Generalized Decomposition (PGD) are decision-making tools that are about to revolutionize many domains. Unfortunately, their computation is still problematic for problems involving many parameters, for which one has to face the “curse of dimensionality”. An answer to this challenge is given in solid mechanics by the so-called “parameter-multiscale PGD”, which is based on Saint-Venant's principle. In this article, a model problem composed of up to a thousand parameters is presented, showing that the method is able to overcome the “curse of dimensionality”. |
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Keywords: | Reduced Order Model (ROM) PGD Multiparametric Réduction de modèles PGD Multiparamétrique |
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