Structure-preserving neural networks

Q Hernández, A Badías, D González, F Chinesta… - Journal of …, 2021 - Elsevier
We develop a method to learn physical systems from data that employs feedforward neural
networks and whose predictions comply with the first and second principles of …

Structure-preserving sparse identification of nonlinear dynamics for data-driven modeling

K Lee, N Trask, P Stinis - Mathematical and Scientific …, 2022 - proceedings.mlr.press
Discovery of dynamical systems from data forms the foundation for data-driven modeling
and recently, structure-preserving geometric perspectives have been shown to provide …

Physically sound, self-learning digital twins for sloshing fluids

B Moya, I Alfaro, D Gonzalez, F Chinesta, E Cueto - PLoS One, 2020 - journals.plos.org
In this paper, a novel self-learning digital twin strategy is developed for fluid sloshing
phenomena. This class of problems is of utmost importance for robotic manipulation of fluids …

Graph neural networks informed locally by thermodynamics

A Tierz, I Alfaro, D González, F Chinesta… - … Applications of Artificial …, 2025 - Elsevier
Thermodynamics-informed neural networks employ inductive biases for the enforcement of
the first and second principles of thermodynamics. To construct these biases, a metriplectic …

Harmonic-modal hybrid frequency approach for parameterized non-linear dynamics

S Rishmawi, S Rodriguez, F Chinesta… - Computers & Structures, 2024 - Elsevier
Structural dynamics systems are represented by discretized partial differential equations,
whose solutions depend on various parameters. Develo** high-fidelity numerical models …

Physics perception in sloshing scenes with guaranteed thermodynamic consistency

B Moya, A Badias, D Gonzalez… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Physics perception very often faces the problem that only limited data or partial
measurements on the scene are available. In this work, we propose a strategy to learn the …

A kernel method for learning constitutive relation in data-driven computational elasticity

Y Kanno - Japan Journal of Industrial and Applied Mathematics, 2021 - Springer
For numerical simulation of elastic structures, data-driven computational approaches attempt
to use a data set of material responses, without resorting to conventional modeling of the …

On the data-driven modeling of reactive extrusion

R Ibañez, F Casteran, C Argerich, C Ghnatios… - Fluids, 2020 - mdpi.com
This paper analyzes the ability of different machine learning techniques, able to operate in
the low-data limit, for constructing the model linking material and process parameters with …

Polymer extrusion die design using a data-driven autoencoders technique

C Ghnatios, E Gravot, V Champaney, N Verdon… - International Journal of …, 2024 - Springer
Designing extrusion dies remains a tricky issue when considering polymers. In fact,
polymers exhibit strong non-Newtonian rheology that manifest in noticeable viscoelastic …

A nonparametric probabilistic method to enhance PGD solutions with data-driven approach, application to the automated tape placement process

C Ghnatios, A Barasinski - Advanced Modeling and Simulation in …, 2021 - Springer
A nonparametric method assessing the error and variability margins in solutions depicted in
a separated form using experimental results is illustrated in this work. The method assess …