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 …

Epi-ckans: Elasto-plasticity informed kolmogorov-arnold networks using chebyshev polynomials

F Mostajeran, SA Faroughi - arxiv preprint arxiv:2410.10897, 2024 - arxiv.org
Multilayer perceptron (MLP) networks are predominantly used to develop data-driven
constitutive models for granular materials. They offer a compelling alternative to traditional …

Angle of repose for superquadric particles: Investigating the effects of shape parameters

P Datta, SA Faroughi - Computers and Geotechnics, 2024 - Elsevier
This study develops a model for the angle of repose (AOR) of granular materials composed
of non-spherical particles represented by a superquadric function featuring five distinct …

Scaled-cPIKANs: Domain Scaling in Chebyshev-based Physics-informed Kolmogorov-Arnold Networks

F Mostajeran, SA Faroughi - arxiv preprint arxiv:2501.02762, 2025 - arxiv.org
Partial Differential Equations (PDEs) are integral to modeling many scientific and
engineering problems. Physics-informed Neural Networks (PINNs) have emerged as …