Enhancing Data-Driven Physics Models through the Integration of Fundamental Theory and Physics-Informed Learning

Authors

  • Sari Fadillah Universitas Pendidikan Indonesia Author
  • Taufik Pratama Universitas Pendidikan Indonesia Author
  • Utami Wibowo Universitas Negeri Malang Author

Keywords:

Data-driven physics models, Physics-informed learning, Scientific machine learning, Fundamental theory

Abstract

This study aims to analyze how the integration of fundamental physics theory and physics-informed learning enhances data-driven physics models. The study addresses the growing challenge of developing models that are not only accurate in prediction but also consistent with physical laws, especially when data are limited, noisy, or incomplete. A qualitative approach with an exploratory case study design was used. Data were collected through semi-structured interviews, limited observation, and documentation involving lecturers, researchers, postgraduate students, and scientific computing practitioners with experience in computational physics, machine learning, numerical simulation, or physics-informed learning. The data were analyzed using thematic analysis with inductive and deductive coding. The findings reveal five main themes: physics theory as a guide and constraint for model development, physics-informed learning as a response to data limitations, validation and interpretability challenges, the importance of documentation and transparency, and the need for interdisciplinary collaboration. These findings show that the quality of data-driven physics models depends not only on algorithmic sophistication, but also on physical validity, methodological reflection, and transparent research practice. The study contributes to scientific machine learning by positioning physics-informed learning as an epistemic bridge between theory and data. It also suggests the need for stronger scientific computing literacy, clearer model reporting standards, and further research across broader fields of applied physics and engineering.

References

Adeoye-Olatunde, O. A., & Olenik, N. L. (2021). Research and scholarly methods: Semi-structured interviews. JACCP: Journal of the American College of Clinical Pharmacy, 4(10), 1358–1367. https://doi.org/10.1002/jac5.1441

Ahmed, S. K. (2024). The pillars of trustworthiness in qualitative research. Journal of Medicine, Surgery, and Public Health, 2, Article 100051. https://doi.org/10.1016/j.glmedi.2024.100051

Cai, S., Mao, Z., Wang, Z., Yin, M., & Karniadakis, G. E. (2021). Physics-informed neural networks (PINNs) for fluid mechanics: A review. Acta Mechanica Sinica, 37(12), 1727–1738. https://doi.org/10.1007/s10409-021-01148-1

Chen, Z., Liu, Y., & Sun, H. (2021). Physics-informed learning of governing equations from scarce data. Nature Communications, 12, Article 6136. https://doi.org/10.1038/s41467-021-26434-1

Cuomo, S., Schiano di Cola, V., Giampaolo, F., Rozza, G., Raissi, M., & Piccialli, F. (2022). Scientific machine learning through physics-informed neural networks: Where we are and what’s next. Journal of Scientific Computing, 92, Article 88. https://doi.org/10.1007/s10915-022-01939-z

Haghighat, E., & Juanes, R. (2021). SciANN: A Keras/TensorFlow wrapper for scientific computations and physics-informed deep learning using artificial neural networks. Computer Methods in Applied Mechanics and Engineering, 373, Article 113552. https://doi.org/10.1016/j.cma.2020.113552

Jagtap, A. D., Kharazmi, E., & Karniadakis, G. E. (2020). Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems. Computer Methods in Applied Mechanics and Engineering, 365, Article 113028. https://doi.org/10.1016/j.cma.2020.113028

Johnson, J. L., Adkins, D., & Chauvin, S. (2020). A review of the quality indicators of rigor in qualitative research. American Journal of Pharmaceutical Education, 84(1), Article 7120. https://doi.org/10.5688/ajpe7120

Karniadakis, G. E., Kevrekidis, I. G., Lu, L., Perdikaris, P., Wang, S., & Yang, L. (2021). Physics-informed machine learning. Nature Reviews Physics, 3(6), 422–440. https://doi.org/10.1038/s42254-021-00314-5

Kiger, M. E., & Varpio, L. (2020). Thematic analysis of qualitative data: AMEE Guide No. 131. Medical Teacher, 42(8), 846–854. https://doi.org/10.1080/0142159X.2020.1755030

Li, Z., Kovachki, N. B., Azizzadenesheli, K., Liu, B., Bhattacharya, K., Stuart, A. M., & Anandkumar, A. (2024). Physics-informed neural operator for learning partial differential equations. ACM Transactions on Mathematical Software, 50(2), Article 21. https://doi.org/10.1145/3648506

Linka, K., Schäfer, A., Meng, X., Zou, Z., Karniadakis, G. E., & Kuhl, E. (2022). Bayesian physics informed neural networks for real-world nonlinear dynamical systems. Computer Methods in Applied Mechanics and Engineering, 402, Article 115346. https://doi.org/10.1016/j.cma.2022.115346

Lu, L., Meng, X., Mao, Z., & Karniadakis, G. E. (2021). DeepXDE: A deep learning library for solving differential equations. SIAM Review, 63(1), 208–228. https://doi.org/10.1137/19M1274067

Miller, E. M., Porter, J. E., & Barbagallo, M. S. (2023). Simplifying qualitative case study research methodology: A step-by-step guide using a palliative care example. The Qualitative Report, 28(8), 2363–2379. https://doi.org/10.46743/2160-3715/2023.6478

Mtisi, S. (2022). The qualitative case study research strategy as applied on a rural enterprise development doctoral research project. International Journal of Qualitative Methods, 21, 1–13. https://doi.org/10.1177/16094069221145849

Pachalieva, A., O’Malley, D., Harp, D. R., & Viswanathan, H. (2022). Physics-informed machine learning with differentiable programming for heterogeneous underground reservoir pressure management. Scientific Reports, 12, Article 18734. https://doi.org/10.1038/s41598-022-22832-7

Ruslin, R., Mashuri, S., Rasak, M. S. A., Alhabsyi, F., & Syam, H. (2022). Semi-structured interview: A methodological reflection on the development of a qualitative research instrument in educational studies. IOSR Journal of Research & Method in Education, 12(1), 22–29. https://doi.org/10.9790/7388-1201052229

Seyyedi, A., Bohlouli, M., & Nedaaee Oskoee, S. (2024). Machine learning and physics: A survey of integrated models. ACM Computing Surveys, 56(5), Article 115. https://doi.org/10.1145/3611383

Wang, N., Chen, Y., & Zhang, D. (2025). A comprehensive review of physics-informed deep learning and its applications in geoenergy development. The Innovation Energy, 2(2), Article 100087. https://doi.org/10.59717/j.xinn-energy.2025.100087

Wang, S., Yu, X., & Perdikaris, P. (2022). When and why PINNs fail to train: A neural tangent kernel perspective. Journal of Computational Physics, 449, Article 110768. https://doi.org/10.1016/j.jcp.2021.110768

Xu, W., & Zammit, K. (2020). Applying thematic analysis to education: A hybrid approach to interpreting data in practitioner research. International Journal of Qualitative Methods, 19, 1–9. https://doi.org/10.1177/1609406920918810

Yang, L., Meng, X., & Karniadakis, G. E. (2021). B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data. Journal of Computational Physics, 425, Article 109913. https://doi.org/10.1016/j.jcp.2020.109913

Zobeiry, N., & Humfeld, K. D. (2021). A physics-informed machine learning approach for solving heat transfer equation in advanced manufacturing and engineering applications. Engineering Applications of Artificial Intelligence, 101, Article 104232. https://doi.org/10.1016/j.engappai.2021.104232

Downloads

Published

2026-05-01

How to Cite

Enhancing Data-Driven Physics Models through the Integration of Fundamental Theory and Physics-Informed Learning. (2026). Global Journal of Physics, 1(1), 41-51. https://ejournal.globalterasfana.com/gjphy/article/view/62