Electromagnetic time domain modeling using an improved meshless method

In this paper, a modified meshless method, one of the meshless numerical techniques that has recently emerged in the area of computational electromagnetics, is extended to time-domain electromagnetic modeling. In the space domain, the fields at the collocation points are expanded into a series of new Shepard functions which are suggested recently and are treated with a meshless method procedure. In comparison with the most traditional schemes of the meshless methods this approximation function has lower computational cost with same level of accuracy. Application of the method for electromagnetic field computation and verification of the obtained results using theoretically known solution is also presented.