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 …

Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models

F Chinesta, A Ammar, E Cueto - Archives of Computational methods in …, 2010 - Springer
This paper revisits a powerful discretization technique, the Proper Generalized
Decomposition—PGD, illustrating its ability for solving highly multidimensional models. This …

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

F Chinesta, A Leygue, F Bordeu, JV Aguado… - … methods in Engineering, 2013 - Springer
In this paper we are addressing a new paradigm in the field of simulation-based engineering
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …

An error estimator for separated representations of highly multidimensional models

A Ammar, F Chinesta, P Diez, A Huerta - Computer methods in applied …, 2010 - Elsevier
Fine modeling of the structure and mechanics of materials from the nanometric to the
micrometric scales uses descriptions ranging from quantum to statistical mechanics. Most of …

Proper generalized decomposition of multiscale models

F Chinesta, A Ammar, E Cueto - International Journal for …, 2010 - Wiley Online Library
In this paper the coupling of a parabolic model with a system of local kinetic equations is
analyzed. A space–time separated representation is proposed for the global model (this is …

[HTML][HTML] A critical review on machine learning applications in fiber composites and nanocomposites: Towards a control loop in the chain of processes in industries

A Gomez-Flores, H Cho, G Hong, H Nam, H Kim… - Materials & Design, 2024 - Elsevier
Fiber composites must be evaluated to achieve correct use in various fields. Their
properties, performance, condition, and integrity can be quickly predicted and optimized by …

Data‐physics driven reduced order homogenization

J Fish, Y Yu - International Journal for Numerical Methods in …, 2023 - Wiley Online Library
A hybrid data‐physics driven reduced‐order homogenization (dpROH) approach aimed at
improving the accuracy of the physics‐based reduced order homogenization (pROH), but …

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 …

[HTML][HTML] Methodological approach to efficient modeling and optimization of thermal processes taking place in a die: Application to pultrusion

C Ghnatios, F Chinesta, E Cueto, A Leygue… - Composites Part A …, 2011 - Elsevier
Optimization of manufacturing processes involves the optimal choice of many process
parameters. Usual strategies proceed by defining a trial choice of those parameters and …

[HTML][HTML] An analytical model for B-stage joining and co-curing of carbon fibre epoxy composites

J Studer, C Dransfeld, K Masania - Composites Part A: Applied Science and …, 2016 - Elsevier
The objective of this paper was to develop cure kinetic models to describe the B-stage
curing and co-curing assembly of carbon fibre reinforced thermosetting polymer (CFRP) …