A physics-informed operator regression framework for extracting data-driven continuum models

DOI10.1016/j.cma.2020.113500zbMath1506.62383arXiv2009.11992OpenAlexW3087889215MaRDI QIDQ2020813

Eric C. Cyr, Ravi G. Patel, Mitchell A. Wood, Nathaniel Trask

Publication date: 26 April 2021

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

Full work available at URL: https://arxiv.org/abs/2009.11992

zbMATH Keywords

spectral methodscontinuum scale modelingoperator regressionphysics-informed machine learning

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Neural nets and related approaches to inference from stochastic processes (62M45)

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Uses Software

• TensorFlow
• PyTorch
• ImageNet
• PDE-Net
• scikit-optimize
• AlexNet
• DeepONet

Cites Work

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