An Optimal Radius of Influence Domain in Element-Free Galerkin Method

Abstract

The domain of influence (doi) plays a very important role in the Element Free Galerkin (EFGM) method. It contributes to the calculation of the weight function and so influences the accuracy of the approximation. The radius of the (doi) determines the number of nodes contained in the support. The compromise is that the radius must not be large to not lose the local aspect of the moving least square method (MLS) used in (EFGM) and not small to have enough node so a regular moment matrix. This paper compares several theories for calculating the radius of (doi).