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Physics informed neural network for charged particles surrounded by conductive boundaries

Computational Physics 2023-01-06 v1 Materials Science Mathematical Physics math.MP

Abstract

In this paper, we developed a new PINN-based model to predict the potential of point-charged particles surrounded by conductive walls. As a result of the proposed physics-informed neural network model, the mean square error and R2 score are less than 7% and more than 90% for the corresponding example simulation, respectively. Results have been compared with typical neural networks and random forest as a standard machine learning algorithm. The R2 score of the random forest model was 70%, and a standard neural network could not be trained well. Besides, computing time is significantly reduced compared to the finite element solver.

Keywords

Cite

@article{arxiv.2301.02191,
  title  = {Physics informed neural network for charged particles surrounded by conductive boundaries},
  author = {Fatemeh Hafezianzade and Morad Biagooi and SeyedEhsan Nedaaee Oskoee},
  journal= {arXiv preprint arXiv:2301.02191},
  year   = {2023}
}
R2 v1 2026-06-28T08:04:08.329Z