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 …

A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality

MA Bessa, R Bostanabad, Z Liu, A Hu… - Computer Methods in …, 2017 - Elsevier
A new data-driven computational framework is developed to assist in the design and
modeling of new material systems and structures. The proposed framework integrates three …

Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials

Z Liu, MA Bessa, WK Liu - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
The discovery of efficient and accurate descriptions for the macroscopic behavior of
materials with complex microstructure is an outstanding challenge in mechanics of …

Accelerated simulation methodologies for computational vascular flow modelling

M MacRaild, A Sarrami-Foroushani… - Journal of the …, 2024 - royalsocietypublishing.org
Vascular flow modelling can improve our understanding of vascular pathologies and aid in
developing safe and effective medical devices. Vascular flow models typically involve …

Roadmap on multiscale materials modeling

E Van Der Giessen, PA Schultz, N Bertin… - … and Simulation in …, 2020 - iopscience.iop.org
Modeling and simulation is transforming modern materials science, becoming an important
tool for the discovery of new materials and material phenomena, for gaining insight into the …

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 …

Non-intrusive surrogate modeling for parametrized time-dependent partial differential equations using convolutional autoencoders

S Nikolopoulos, I Kalogeris, V Papadopoulos - Engineering Applications of …, 2022 - Elsevier
This paper presents a novel non-intrusive surrogate modeling scheme based on deep
learning for predictive modeling of complex systems, described by parametrized time …

[PDF][PDF] Model order reduction

F Chinesta, A Huerta, G Rozza… - Encyclopedia of …, 2016 - ww2.lacan.upc.edu
This chapter presents an overview of Model Order Reduction–a new paradigm in the field of
simulationbased engineering sciences, and one that can tackle the challenges and leverage …

Model reduction methods

F Chinesta, A Huerta, G Rozza… - Encyclopedia of …, 2017 - Wiley Online Library
This chapter presents an overview of model order reduction–a new paradigm in the field of
simulation‐based engineering sciences, and one that can tackle the challenges and …

Non-intrusive low-rank separated approximation of high-dimensional stochastic models

A Doostan, AA Validi, G Iaccarino - Computer Methods in Applied …, 2013 - Elsevier
This work proposes a sampling-based (non-intrusive) approach within the context of low-
rank separated representations to tackle the issue of curse-of-dimensionality associated with …