article · IEEE Access · 2024

A Novel Hybrid Boundary Element—Physics Informed Neural Network Method for Numerical Solutions in Electromagnetics

Sami Barmada, Shayan Dodge, Mauro Tucci, A. Formisano, Paolo Di Barba, Maria Evelina Mognaschi

Cited by 7Open access

Abstract

In this contribution the authors propose a hybrid Boundary Element Method – Physics Informed Neural Networks (BEM – PINN) approach, to be used for the resolution of partial differential equations arising when formulating boundary-value problems in electromagnetism. The approach retains both the advantages of integral methods (compact representation and no need to mesh large domains) and differential methods, where the term “differential” refers here to the Automatic Differentiation carried out during the training phase of the PINN. The method is easy to implement and adds an additional flexibility to purely PINN based solution methods.

Cite this paper

APA 7

Barmada, S., Dodge, S., Tucci, M., Formisano, A., Di Barba, P., & Mognaschi, M. E. (2024). A Novel Hybrid Boundary Element—Physics Informed Neural Network Method for Numerical Solutions in Electromagnetics. IEEE Access, 12, 171444–171457. https://doi.org/10.1109/access.2024.3500039

MLA 9

Barmada, Sami, et al. “A Novel Hybrid Boundary Element—Physics Informed Neural Network Method for Numerical Solutions in Electromagnetics.” IEEE Access, vol. 12, 2024, pp. 171444–57, https://doi.org/10.1109/access.2024.3500039.

Chicago

Barmada, Sami, Shayan Dodge, Mauro Tucci, A. Formisano, Paolo Di Barba, and Maria Evelina Mognaschi. 2024. “A Novel Hybrid Boundary Element—Physics Informed Neural Network Method for Numerical Solutions in Electromagnetics.” IEEE Access 12: 171444–57. https://doi.org/10.1109/access.2024.3500039.

Harvard

Barmada, S. et al. (2024) ‘A Novel Hybrid Boundary Element—Physics Informed Neural Network Method for Numerical Solutions in Electromagnetics’, IEEE Access, 12, pp. 171444–171457. Available at: https://doi.org/10.1109/access.2024.3500039.

BibTeX

@article{barmada2024novel,
  title = {{A Novel Hybrid Boundary Element—Physics Informed Neural Network Method for Numerical Solutions in Electromagnetics}},
  author = {Barmada, Sami and Dodge, Shayan and Tucci, Mauro and Formisano, A. and Di Barba, Paolo and Mognaschi, Maria Evelina},
  journal = {IEEE Access},
  volume = {12},
  pages = {171444--171457},
  year = {2024},
  doi = {10.1109/access.2024.3500039}
}

Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.