@article{LeeKadHam_2024,
author = {Lee , Sanghyun and Kadeethum , Teeratorn and M. Nick , Hamidreza},
title = {Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot’s System by Employing Machine Learning},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {5},
pages = {764--792},
abstract = {
This paper uses neural networks and machine learning to study the optimal choice of
the interior penalty parameter of the discontinuous Galerkin finite element methods for both the
elliptic problems and Biot’s systems. It is crucial to choose the optimal interior penalty parameter,
which is not too small or too large for the stability, robustness, and efficiency of the approximated numerical solutions. Both linear regression and nonlinear artificial neural network methods
are employed and compared using several numerical experiments to illustrate the capability of
our proposed computational framework. This framework is integral to developing automated numerical simulation because it can automatically identify the optimal interior penalty parameter.
Real-time feedback could also be implemented to update and improve model accuracy on the fly.
},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1031},
url = {http://global-sci.org/intro/article_detail/ijnam/23452.html}
}

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