A short review on model order reduction based on proper generalized decomposition

F Chinesta, P Ladeveze, E Cueto - Archives of Computational Methods in …, 2011 - Springer
This paper revisits a new model reduction methodology based on the use of separated
representations, the so called Proper Generalized Decomposition—PGD. Space and time …

The latin multiscale computational method and the proper generalized decomposition

P Ladevèze, JC Passieux, D Néron - Computer Methods in Applied …, 2010 - Elsevier
The LATIN multiscale computational method and the Proper Generalized Decomposition -
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Proper generalized decomposition for multiscale and multiphysics problems

D Néron, P Ladevèze - Archives of Computational Methods in …, 2010 - Springer
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 …

A three-scale domain decomposition method for the 3D analysis of debonding in laminates

P Kerfriden, O Allix, P Gosselet - Computational mechanics, 2009 - Springer
The prediction of the quasi-static response of industrial laminate structures requires to use
fine descriptions of the material, especially when debonding is involved. Even when …

Time‐space PGD for the rapid solution of 3D nonlinear parametrized problems in the many‐query context

D Néron, PA Boucard, N Relun - International Journal for …, 2015 - Wiley Online Library
This work deals with the question of the resolution of nonlinear problems for many different
configurations in order to build a 'virtual chart'of solutions. The targeted problems are three …

A computational approach for determination of parameters in generalized mechanics

BE Abali, H Yang, P Papadopoulos - Higher gradient materials and related …, 2019 - Springer
Metamaterials are functionalized by specifying a structure at a microscopic length scale such
that they provide a tailored deformation response at a macroscopic length scale. Their …

[HTML][HTML] The Proper Generalized Decomposition (PGD) as a numerical procedure to solve 3D cracked plates in linear elastic fracture mechanics

E Giner, B Bognet, JJ Ródenas, A Leygue… - International Journal of …, 2013 - Elsevier
In this work, we present a new approach to solve linear elastic crack problems in plates
using the so-called Proper Generalized Decomposition (PGD). In contrast to the standard FE …

A LATIN-based model reduction approach for the simulation of cycling damage

M Bhattacharyya, A Fau, U Nackenhorst… - Computational …, 2018 - Springer
The objective of this article is to introduce a new method including model order reduction for
the life prediction of structures subjected to cycling damage. Contrary to classical …

Towards a framework for non‐linear thermal models in shell domains

F Chinesta, A Leygue, M Beringhier… - International Journal of …, 2013 - emerald.com
Purpose–The purpose of this paper is to solve non‐linear parametric thermal models
defined in degenerated geometries, such as plate and shell geometries …

The Reference Point Method, a “hyperreduction” technique: Application to PGD-based nonlinear model reduction

M Capaldo, PA Guidault, D Néron… - Computer Methods in …, 2017 - Elsevier
A new approximation technique, called Reference Point Method (RPM), is proposed in order
to reduce the computational complexity of algebraic operations for constructing reduced …