Improved meshless method using direct shape function for computational electromagnetics

In this paper, an improved meshless method is presented by eliminating the time consuming process of determining the shape function. We introduce a direct approach, based on the properties, which is required for any shape function, to prepare the shape function and propose a new meshless method. The proposed method does not need to any predetermined basis or weighting functions. Another advantage of the introduced method is its capability for applying desirable changes to the shape function. It is seen that the method has good accuracy and is faster than the conventional meshless methods. Its application in an electromagnetic field reflection computation is also presented.