A physics-informed learning approach to Bernoulli-type free boundary problems

DOI10.1016/j.camwa.2022.10.003zbMath1504.65231OpenAlexW4307059343MaRDI QIDQ2107176

Salvatore Cuomo, Francesco Piccialli, Stefano Izzo, Cristina Trombetti, Carlo Nitsch, Fabio Giampaolo

Publication date: 1 December 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.10.003

zbMATH Keywords

free boundary problemphysics-informed neural networksscientific machine learning

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Uses Software

• DiffSharp
• Adam
• FPINNs
• EikoNet
• PINNeik
• NSFnets

Cites Work

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