Physics-guided, physics-informed, and physics-encoded neural networks in scientific computing

SA Faroughi, N Pawar, C Fernandes, M Raissi… - arxiv preprint arxiv …, 2022 - arxiv.org
Recent breakthroughs in computing power have made it feasible to use machine learning
and deep learning to advance scientific computing in many fields, including fluid mechanics …

Physics-guided, physics-informed, and physics-encoded neural networks and operators in scientific computing: Fluid and solid mechanics

SA Faroughi, NM Pawar… - Journal of …, 2024 - asmedigitalcollection.asme.org
Advancements in computing power have recently made it possible to utilize machine
learning and deep learning to push scientific computing forward in a range of disciplines …

Review of computational mechanics, optimization, and machine learning tools for digital twins applied to infrastructures

GE Stavroulakis, BG Charalambidi, P Koutsianitis - Applied Sciences, 2022 - mdpi.com
This review discusses the links between the newly introduced concepts of digital twins and
more classical finite element modeling, reduced order models, parametric modeling, inverse …

Physics-Informed Machine Learning—An Emerging Trend in Tribology

M Marian, S Tremmel - Lubricants, 2023 - mdpi.com
Physics-informed machine learning (PIML) has gained significant attention in various
scientific fields and is now emerging in the area of tribology. By integrating physics-based …

On the order of derivation in the training of physics-informed neural networks: case studies for non-uniform beam structures

S Faroughi, A Darvishi, S Rezaei - Acta Mechanica, 2023 - Springer
The potential of the mixed formulation for physics-informed neural networks is investigated
in order to find a solution for a non-uniform beam resting on an elastic foundation and …

Ensemble of physics-informed neural networks for solving plane elasticity problems with examples

AD Mouratidou, GA Drosopoulos, GE Stavroulakis - Acta Mechanica, 2024 - Springer
Two-dimensional (plane) elasticity equations in solid mechanics are solved numerically with
the use of an ensemble of physics-informed neural networks (PINNs). The system of …

Exploring energy minimization to model strain localization as a strong discontinuity using Physics Informed Neural Networks

O León, V Rivera, A Vázquez-Patiño, J Ulloa… - Computer Methods in …, 2025 - Elsevier
We explore the possibilities of using energy minimization for the numerical modeling of
strain localization in solids as a sharp discontinuity in the displacement field. For this …

Interpretable Machine Learning for Assessing the Cumulative Damage of a Reinforced Concrete Frame Induced by Seismic Sequences

PC Lazaridis, IE Kavvadias, K Demertzis, L Iliadis… - Sustainability, 2023 - mdpi.com
Recently developed Machine Learning (ML) interpretability techniques have the potential to
explain how predictors influence the dependent variable in high-dimensional and non-linear …

An improved physical information network for forecasting the motion response of ice floes under waves

X Peng, C Wang, G **a, F Han, Z Liu, W Zhao… - Physics of …, 2024 - pubs.aip.org
Physics-informed neural networks (PINNs) have increasingly become a key intelligent
technology for solving partial differential equations. Nevertheless, for simulating the dynamic …

[PDF][PDF] Second-order analysis of beam-columns by machine learning-based structural analysis through physics-informed neural networks

L Chen, HY Zhang, SW Liu, SL Chan - Advanced Steel Construction, 2023 - ascjournal.com
Numerical solutions using machine learning have seen drastic development in recent years,
largely due to the advancement in Artificial Intelligence (AI) chips, especially the advent of …