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使用图形神经网络实现不连续-加勒金有限元素方法,并应用于扩散方程.

Linfeng Li1, Jiansheng Xiang1, Boyang Chen1

  • 1Department of Earth Science and Engineering, Imperial College London, Prince Consort Road, London SW7 2BP, UK.

Neural networks : the official journal of the International Neural Network Society
|January 16, 2025
PubMed
概括

本研究介绍了一种新的图形神经网络方法,用于使用有限元法 (FEM) 在非结构化的网格上解决部分微分方程. 这种基于机器学习的解决方案实现了高效的计算和理论融合率.

关键词:
不连续-加勒金有限元素方法.图形神经网络是一个神经网络.多网格解决器解决器这就是U-Net.非结构化的网格.

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