Solving spatiotemporal partial differential equations with Physics-informed Graph Neural Network

Zixue Xiang; Wei Peng; Wen Yao; Xu Liu; Xiaoya Zhang

doi:10.1016/j.asoc.2024.111437

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Solving spatiotemporal partial differential equations with Physics-informed Graph Neural Network

Zixue Xiang Wei Peng Wen Yao Xu Liu Xiaoya Zhang

Year: 2024 Journal: Applied Soft Computing Vol: 155 Pages: 111437-111437 Publisher: Elsevier BV

DOI: 10.1016/j.asoc.2024.111437

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Keywords:

Partial differential equation Computer science Inference Artificial neural network Radial basis function Generalizability theory Artificial intelligence Convolutional neural network Algorithm Graph Applied mathematics Theoretical computer science Machine learning Mathematics Mathematical analysis

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Model Reduction and Neural Networks

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Fluid Dynamics and Turbulent Flows

Physical Sciences → Engineering → Computational Mechanics

Fluid Dynamics and Vibration Analysis

Physical Sciences → Engineering → Computational Mechanics

Solving spatiotemporal partial differential equations with Physics-informed Graph Neural Network

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