Solving Sparse Linear Systems on Large Unstructured Grids with Graph Neural Networks: Application to Solve the Poisson’s Equation in Hall-Effect Thrusters Simulations

Author:

Vigot Gabriel,Cuenot Bénédicte,Vermorel Olivier

Publisher

Springer Nature Switzerland

Reference27 articles.

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2. Jiang, Z., Jiang, J., Yao, Q., et al.: A neural network-based PDE solving algorithm with high precision. Sci. Rep. 13, 4479 (2023). https://doi.org/10.1038/s41598-023-31236-0

3. Paszke, A., et al.: PyTorch: an imperative style, high-performance deep learning library. In Advances in Neural Information Processing Systems, vol. 32, pp. 8024–8035. Curran Associates, Inc. (2019)

4. Li, S. et al.: PyTorch distributed: experiences on accelerating data parallel training, In: VLDB Endowment, vol. 13, no. 12 (2020). https://doi.org/10.14778/3415478.3415530

5. Fey, M., Lenssen, J.E.: Fast graph representation learning with PyTorch geometric. In: ICLR Workshop on Representation Learning on Graphs and Manifolds (2019)

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