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

Author

Liu, Xin ; Deng, Yiming ; Zeng, Zhiwei ; Udpa, Lalita ; Udpa, Satish S.

Author_Institution

Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI

Volume

45

Issue

3

fYear

2009

fDate

3/1/2009 12:00:00 AM

Firstpage

1486

Lastpage

1489

Abstract

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.

Keywords

Galerkin method; eddy current testing; inverse problems; iterative methods; noise; numerical stability; state-space methods; tree searching; trees (mathematics); EFG method; NDE; defect profile reconstruction; defect updating scheme; discretization; eddy current problem; element-free Galerkin method; inverse problem; iterative state space search; model-based signal inversion technique; noisy signal; nondestructive evaluation; robustness; tree search algorithm; tree structure; Element-free galerkin (EFG) method; inverse problem; nondestructive evaluation; state space search;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2009.2012686

Filename

4787486