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A decoupled strategy to solve reduced-order multimodel problems in the PGD and Arlequin frameworks

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Abstract

In this paper, we investigate the coupling of reduced models for the simulation of structures involving localized geometrical details. Herein, we use the Arlequin method, originally designed to deal with multimodel and multiscale analyses of mechanical problems, to mix reduced models built using the proper generalized decomposition. Instead of solving the global coupled problem in a monolithic way, the LATIN strategy is used to propose a decoupled algorithm. The numerical examples demonstrate the feasibility of the approach and in particular its potentiality in terms of flexibility.

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Acknowledgments

The authors want to thank the French National Centre for Scientific Research (CNRS) and the French National Research Agency (projet number ANR-14-CE07-0007 CouESt) for the fundings provided to this work. The numerical simulations were performed using the routines CArl, freely available at https://github.com/cottereau/CArl.

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Authors and Affiliations

  1. LMT-Cachan (ENS Cachan/CNRS/Université Paris-Saclay), 61 avenue du Président Wilson, 94235, Cachan Cedex, France

    David Néron

  2. MSSMat (CentraleSupélec/CNRS/Université Paris-Saclay), Grande Voie des Vignes, 92295, Châtenay-Malabry Cedex, France

    Hachmi Ben Dhia & Régis Cottereau

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  1. David Néron
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  2. Hachmi Ben Dhia
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  3. Régis Cottereau
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Correspondence to David Néron.

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Néron, D., Dhia, H.B. & Cottereau, R. A decoupled strategy to solve reduced-order multimodel problems in the PGD and Arlequin frameworks. Comput Mech 57, 509–521 (2016). https://doi.org/10.1007/s00466-015-1236-0

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  • DOI: https://doi.org/10.1007/s00466-015-1236-0

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