Adaptive nodal generation with the element-free Galerkin method

In this paper, adaptive nodal generation procedure based on estimated local and global error in the element-free Galerkin(EFG) method is proposed. To investigate the possibility of h-type adaptivity of EFG method, very simple nodal refinement scheme is used. By adding new node along the background cell that is used in numerical integration, we can control both of local and global errors adaptively. These errors can be estimated by calculate the difference between the values of the projected stress and these given directly by the EFG solution. The ultimate goal of this study is to develop the reliable nodal generator based on local and global errors which are estimated posteriori. To demonstrate the performance of proposed scheme, the convergence behavior is investigated for several examples.