TY - EJOU
AU - Cheng, Ruhui
AU - Yin, Xiaomeng
AU - Chen, Leilei
TI - Machine Learning Enhanced Boundary Element Method: Prediction of Gaussian Quadrature Points
T2 - Computer Modeling in Engineering \& Sciences
PY - 2022
VL - 131
IS - 1
SN - 1526-1506
AB - 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 algorithm is 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.
KW - Machine learning; Boundary element method; Gaussian quadrature points; classification problems
DO - 10.32604/cmes.2022.018519