Implementing the discontinuous-Galerkin finite element method using graph neural networks with application to diffusion equations

Machine learning (ML) has benefited from both software and hardware advancements, leading to increasing interest in capitalising on ML throughout academia and industry. There have been efforts in the scientific computing community to leverage this development via implementing conventional partial di...

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Veröffentlicht in:	Neural networks 2025-05, Vol.185, p.107061, Article 107061
Hauptverfasser:	Li, Linfeng, Xiang, Jiansheng, Chen, Boyang, Heaney, Claire E., Dargaville, Steven, Pain, Christopher C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Discontinuous-Galerkin finite element method Graph neural networks Multigrid solver U-Net Unstructured meshes
Online-Zugang:	Volltext
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