A non-gradient method for solving elliptic partial differential equations with deep neural networks

DOI10.1016/j.jcp.2022.111690OpenAlexW4306958315WikidataQ115350025 ScholiaQ115350025MaRDI QIDQ2099748

Dan Hu, Yifan Peng, Zin-Qin John Xu

Publication date: 18 November 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111690

zbMATH Keywords

elliptic partial differential equationshigh dimensiondeep neural networksnongradient method

Mathematics Subject Classification ID

Artificial intelligence (68Txx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)

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Uses Software

• Adam
• DGM

Cites Work

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