A short review on model order reduction based on proper generalized decomposition
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 …
representations, the so called Proper Generalized Decomposition—PGD. Space and time …
Virtual, digital and hybrid twins: a new paradigm in data-based engineering and engineered data
Engineering is evolving in the same way than society is doing. Nowadays, data is acquiring
a prominence never imagined. In the past, in the domain of materials, processes and …
a prominence never imagined. In the past, in the domain of materials, processes and …
PGD-Based Computational Vademecum for Efficient Design, Optimization and Control
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 …
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …
A multidimensional data‐driven sparse identification technique: the sparse proper generalized decomposition
R Ibáñez, E Abisset-Chavanne, A Ammar… - …, 2018 - Wiley Online Library
Sparse model identification by means of data is especially cumbersome if the sought
dynamics live in a high dimensional space. This usually involves the need for large amount …
dynamics live in a high dimensional space. This usually involves the need for large amount …
Digital twins that learn and correct themselves
Digital twins can be defined as digital representations of physical entities that employ real‐
time data to enable understanding of the operating conditions of these entities. Here we …
time data to enable understanding of the operating conditions of these entities. Here we …
[PDF][PDF] Model order reduction
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 …
simulationbased engineering sciences, and one that can tackle the challenges and leverage …
Model reduction methods
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 …
simulation‐based engineering sciences, and one that can tackle the challenges and …
Real‐time simulation of biological soft tissues: a PGD approach
We introduce here a novel approach for the numerical simulation of nonlinear, hyperelastic
soft tissues at kilohertz feedback rates necessary for haptic rendering. This approach is …
soft tissues at kilohertz feedback rates necessary for haptic rendering. This approach is …
Parametric solutions involving geometry: a step towards efficient shape optimization
Optimization of manufacturing processes or structures involves the optimal choice of many
parameters (process parameters, material parameters or geometrical parameters). Usual …
parameters (process parameters, material parameters or geometrical parameters). Usual …
kPCA-based parametric solutions within the PGD framework
Parametric solutions make possible fast and reliable real-time simulations which, in turn
allow real time optimization, simulation-based control and uncertainty propagation. This …
allow real time optimization, simulation-based control and uncertainty propagation. This …