Physics-Informed Neural Network (PINN) Evolution and Beyond: A Systematic Literature Review and Bibliometric Analysis

Author:

Lawal Zaharaddeen Karami,Yassin Hayati,Lai Daphne Teck ChingORCID,Che Idris Azam

Abstract

This research aims to study and assess state-of-the-art physics-informed neural networks (PINNs) from different researchers’ perspectives. The PRISMA framework was used for a systematic literature review, and 120 research articles from the computational sciences and engineering domain were specifically classified through a well-defined keyword search in Scopus and Web of Science databases. Through bibliometric analyses, we have identified journal sources with the most publications, authors with high citations, and countries with many publications on PINNs. Some newly improved techniques developed to enhance PINN performance and reduce high training costs and slowness, among other limitations, have been highlighted. Different approaches have been introduced to overcome the limitations of PINNs. In this review, we categorized the newly proposed PINN methods into Extended PINNs, Hybrid PINNs, and Minimized Loss techniques. Various potential future research directions are outlined based on the limitations of the proposed solutions.

Funder

Universiti Brunei Darussalam, Brunei

Publisher

MDPI AG

Subject

Artificial Intelligence,Computer Science Applications,Information Systems,Management Information Systems

Reference128 articles.

1. Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations;J. Comput. Phys.,2019

2. Hu, Z., Jagtap, A.D., Karniadakis, G.E., and Kawaguchi, K. (2021). When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?. arXiv.

3. Parallel physics-informed neural networks via domain decomposition;J. Comput. Phys.,2021

4. Ang, E., and Ng, B.F. (2021). AIAA SCITECH 2022 Forum, American Institute of Aeronautics and Astronautics.

5. Gnanasambandam, R., Shen, B., Chung, J., and Yue, X. (2022). Self-scalable Tanh (Stan): Faster Convergence and Better Generalization in Physics-informed Neural Networks. arXiv.

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