Model-Based Inversion Technique Using Element-Free Galerkin Method and State Space Search

This paper presents a signal inversion technique in nondestructive evaluation (NDE) application for defect profile reconstruction using the element-free Galerkin (EFG) method and state space search. The advantage of EFG method is that it relies only on a set of nodes, instead of a complex mesh to discretize the solution domain. In the inversion procedure, remeshing is avoided to increase the efficiency and accuracy of the solution, which is a major advantage over the traditional finite-element method (FEM). The iterative state space search method using the tree structure is developed for implementing the defect updating scheme. Preliminary results are presented for validation. The robustness of the technique has been shown on noisy signals.