Abstract:Different from grid-based algorithm, meshless (or meshfree) method is a node-based algorithm that merely needs nodes information. Without the need of connecting nodes into mesh cell, this method is convenient with a good accuracy. The Galerkin element-free method (EFG) is a method based on global weak form and moving least square (MLS) approximation, which is widely used in computational mechanics. One disadvantage of this method is that, the number of nonzero elements in coefficient matrix produced in EFG is much more than in finite method, requiring bigger memory space. The wave front method is applied in finite method for a long time. But it has not used in meshless method yet. In this article, applying wave front method to EFG method is discussed. And some numerical experiments are presented.