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Machine Learning Enhanced Boundary ElementMethod: Prediction of Gaussian Quadrature Points.

Authors :
Ruhui Cheng
Xiaomeng Yin
Leilei Chen
Source :
CMES-Computer Modeling in Engineering & Sciences; 2022, Vol. 131 Issue 1, p445-464, 20p
Publication Year :
2022

Abstract

This paper applies a machine learning technique to find a general and efficient numerical integration scheme for boundary element methods. A model based on the neural network multi-classification algorithmis constructed to find the minimum number of Gaussian quadrature points satisfying the given accuracy. The constructed model is trained by using a large amount of data calculated in the traditional boundary element method and the optimal network architecture is selected. The two-dimensional potential problem of a circular structure is tested and analyzed based on the determined model, and the accuracy of the model is about 90%. Finally, by incorporating the predicted Gaussian quadrature points into the boundary element analysis, we find that the numerical solution and the analytical solution are in good agreement, which verifies the robustness of the proposed method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15261492
Volume :
131
Issue :
1
Database :
Complementary Index
Journal :
CMES-Computer Modeling in Engineering & Sciences
Publication Type :
Academic Journal
Accession number :
154914245
Full Text :
https://doi.org/10.32604/cmes.2022.018519