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Implementation and application of physics-informed holomorphic neural networks (PIHNNs, Calafà et al. [2024]) to the Laplace, biharmonic and plane linear elasticity equations.

Note

Before using the library, we recommend to read here the documentation and look at some applications in the examples folder.

If you use PIHNNs for your research, don’t forget to cite our work:

@article{CALAFA2024117406,
      title = {Physics-Informed Holomorphic Neural Networks ({PIHNNs}): Solving {2D} linear elasticity problems},
      author = {Matteo Calafà and Emil Hovad and Allan P. Engsig-Karup and Tito Andriollo},
      journal = {Computer Methods in Applied Mechanics and Engineering},
      volume = {432},
      pages = {117406},
      year = {2024},
      issn = {0045-7825},
      doi = {https://doi.org/10.1016/j.cma.2024.117406}
}

PIHNN is under license LGPL 2.1

PIHNN#