Application of the RBF-Based Meshless Method to Solve 2-D Time Domain Maxwell's Equations

摘要

Radial basis functions (RBF),as a meshless technique,is widely applied to solve partial differential equations.In this paper,a meshless RBF method is applied to time domain Maxwell's equations and calculates a two-dimensional (2-D)cavity case. The main idea is that the fields in the space domain are expanded into a series of radial basis functions and are treated with a meshless method procedure,and the time derivatives are still tackled with the customary difference scheme. The 2-D cavity numerical experiment has been used to validate the propose technique.