Improved Element-Free Galerkin Method for Electromagnetic NDE Model (Preprint)

摘要

This paper presents improvements made to enhance the Element-Free Galerkin method (EFG) for NDE applications. By using orthogonal basis functions instead of the conventional polynomial basis, the inversion of the ill- conditioned shape function matrix is eliminated. Therefore, the accuracy of the results is improved. Preliminary one-dimensional (1-D) and two-dimensional (2- D) examples are presented to demonstrate the improvement in accuracy and efficiency offered by orthogonal basis functions.