Modification on a fast meshless method for electromagnetic field computations

This study modifies and discusses the application of a complete meshless method based on Shepard approximation with an emphasis on the detailed description of this computational technique and its numerical implementations. A new weighting function would be suggested. The global shape function and its derivatives are built based only on the discretisation of the domain in nodes. To deal with the essential boundary condition problem, an alternative method has been proposed. The method is also capable of treating physical discontinuities present at interfaces between different matters. Application of proposed method for the electromagnetic field computation and verification of the obtained results using finite difference method and radial point interpolation method is also presented. The results demonstrate a good agreement between the proposed meshless method and other numerical techniques. So, an adequacy accuracy of this methodology can be concluded whereas the approximation functions have lower computational costs.