A Vector Meshless Method for Transient Vector Wave Equations

Based on the vector radial basis function (RBF) which is theoretical divergence free, we propose a meshless method for solving the transient vector wave equation. Unlike the conventional radial point interpolation meshless (RPIM) method that solves the field components separately, the proposed method solves the vector wave equation directly. Therefore, easy source and boundary implementation is achieved due to the direct solution of the vector wave equation, which is a challenge issue in the traditional RPIM method. Several numerical experiments are taken to validate the accuracy of the proposed solver.