A shallow physics-informed neural network for solving partial differential equations on static and evolving surfaces

DOI10.1016/j.cma.2023.116486arXiv2203.01581OpenAlexW4387321532MaRDI QIDQ6118543

Wei-Fan Hu, Yi-Jun Shih, Ming-Chih Lai, Te-Sheng Lin

Publication date: 21 March 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.01581

zbMATH Keywords

Laplace-Beltrami operatorevolving surfacessurface partial differential equationsphysics-informed neural networksshallow neural network

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

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