Improved deep neural networks with domain decomposition in solving partial differential equations

DOI10.1007/s10915-022-01980-yOpenAlexW4294414639WikidataQ114225517 ScholiaQ114225517MaRDI QIDQ2674166

Wei Wu, Xinlong Feng, Hui Xu

Publication date: 22 September 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-01980-y

zbMATH Keywords

domain decompositionpartial differential equationsdeep neural networksphysics informed neural networksexpressiveness of neural networksgradient pathology

Mathematics Subject Classification ID

Artificial intelligence (68Txx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Uses Software

• TensorFlow
• DiffSharp
• DeepXDE
• FPINNs
• XPINNs
• DeepONet
• NSFnets

Cites Work

• Unnamed Item
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