A LightGBM-Incorporated Absorbing Boundary Conditions for the Wave-Equation-Based Meshless Method

TL;DR

This paper introduces a novel approach combining LightGBM with absorbing boundary conditions to enhance wave propagation simulations in meshless methods, replacing traditional PMLs for improved efficiency and accuracy.

Contribution

The paper presents a new LightGBM-based method for boundary condition computation in wave simulations, replacing conventional PMLs to improve efficiency and effectiveness.

Findings

Method achieves higher computational efficiency.

Numerical experiments verify effectiveness and accuracy.

Replaces traditional PMLs with machine learning approach.

Abstract

A LightGBM-Incorporated absorbing boundary condition (ABC) computation approach for the wave-equation-based the radial point interpolation meshless (RPIM) method is proposed to simulate wave propagation in open space during the computation process. Different strageties are implemented for replacing the conventional perfectly matched layers (PMLs) in the computational domain. In this work, the model is used to predict the field components on the boundary at each time step to improve computational efficiency. The effectiveness and high efficiency of our method is verified by numerical experiments.