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Proper Generalized Decomposition for Multiscale and Multiphysics Problems

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Abstract

This paper is a review of the developments of the Proper Generalized Decomposition (PGD) method for the resolution, using the multiscale/multiphysics LATIN method, of the nonlinear, time-dependent problems ((visco)plasticity, damage, …) encountered in computational mechanics. PGD leads to considerable savings in terms of computing time and storage, and makes engineering problems which would otherwise be completely out of range of industrial codes accessible.

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  1. ENS Cachan/CNRS/UPMC/PRES UniverSud, LMT-Cachan, Paris, France

    David Néron & Pierre Ladevèze

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  1. David Néron
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Néron, D., Ladevèze, P. Proper Generalized Decomposition for Multiscale and Multiphysics Problems. Arch Computat Methods Eng 17, 351–372 (2010). https://doi.org/10.1007/s11831-010-9053-2

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