[HTML][HTML] A-PINN: Auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations

L Yuan, YQ Ni, XY Deng, S Hao - Journal of Computational Physics, 2022 - Elsevier
Physics informed neural networks (PINNs) are a novel deep learning paradigm primed for
solving forward and inverse problems of nonlinear partial differential equations (PDEs). By …

Improving deep learning with prior knowledge and cognitive models: A survey on enhancing explainability, adversarial robustness and zero-shot learning

F Mumuni, A Mumuni - Cognitive Systems Research, 2024 - Elsevier
We review current and emerging knowledge-informed and brain-inspired cognitive systems
for realizing adversarial defenses, eXplainable Artificial Intelligence (XAI), and zero-shot or …

Numerical computation of Cross nanofluid model using neural network and Adaptive Neuro-Fuzzy Inference system with statistical insights for enhanced flow …

F Wang, S Rehman, MH Shah, MA El Yamani… - Expert Systems with …, 2025 - Elsevier
In this study, we present a novel integration of numerical methodologies and advanced
computational intelligence to elucidate the dynamics of cross nanofluid flow over a Riga …

A mixed pressure-velocity formulation to model flow in heterogeneous porous media with physics-informed neural networks

F Lehmann, M Fahs, A Alhubail, H Hoteit - Advances in Water Resources, 2023 - Elsevier
Abstract Current implementations of Physics Informed Neural Networks (PINNs) can
experience convergence problems in simulating fluid flow in porous media with highly …

[HTML][HTML] On the use of neural networks for full waveform inversion

L Herrmann, T Bürchner, F Dietrich… - Computer Methods in …, 2023 - Elsevier
Neural networks have recently gained attention in the context of solving inverse problems.
Physics-Informed Neural Networks (PINNs) are a prominent methodology for the task of …

Physics-informed machine learning and uncertainty quantification for mechanics of heterogeneous materials

B Bharadwaja, MA Nabian, B Sharma… - Integrating Materials and …, 2022 - Springer
A model based on the Physics-Informed Neural Networks (PINN) for solving elastic
deformation of heterogeneous solids and associated Uncertainty Quantification (UQ) is …

Flow field reconstruction from sparse sensor measurements with physics-informed neural networks

MY Hosseini, Y Shiri - Physics of Fluids, 2024 - pubs.aip.org
In the realm of experimental fluid mechanics, accurately reconstructing high-resolution flow
fields is notably challenging due to often sparse and incomplete data across time and space …

Physical informed neural network for thermo-hydral analysis of fire-loaded concrete

Z Gao, Z Fu, M Wen, Y Guo, Y Zhang - Engineering Analysis with Boundary …, 2024 - Elsevier
In the event of a fire within a tunnel, the rapid and substantial increase in temperature can
prompt swift fractures within the concrete lining. This situation can severely compromise the …

Advancing fluid dynamics simulations: A comprehensive approach to optimizing physics-informed neural networks

W Zhou, S Miwa, K Okamoto - Physics of Fluids, 2024 - pubs.aip.org
Flow modeling based on physics-informed neural networks (PINNs) is emerging as a
potential artificial intelligence (AI) technique for solving fluid dynamics problems. However …

Simulation of flow field in silicon single-crystal growth using physics-informed neural network with spatial information

S Shi, D Liu, Z Huo - Physics of Fluids, 2022 - pubs.aip.org
Melt convection plays a crucial role in the growth of silicon single crystals. In particular, melt
flow transfers mass and heat, and it may strongly affect the crystal growth conditions …