Monte Carlo methods for modeling magnetostatic NDE phenomena: a feasibility study

Author

Mandayam, S. ; Udpa, L. ; Udpa, S.S. ; Lord, W.

Author_Institution

Dept. of Electr. Eng. & Comput. Eng., Iowa State Univ., Ames, IA, USA

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

1425

Lastpage

1428

Abstract

Magnetostatic methods that are used for the nondestructive evaluation (NDE) of ferromagnetic materials can be modeled by partial differential equations. Conventional numerical methods such as finite difference, finite elements or boundary integral methods for large problems typically require an iterative matrix inversion scheme to solve the system of equations. Parallel implementation of such schemes is extremely difficult due to the data dependencies in the matrices. Monte Carlo methods offer an alternative approach by reducing the differential equation to simple, independent, random processes that are inherently amenable to parallel implementation. This paper investigates the use of Monte Carlo methods for modeling magnetostatic flux leakage NDE phenomena. The model is validated by comparing the results with those obtained with finite element models. The approach offers significant reduction in computational burden especially for 3-D problems

Keywords

Monte Carlo methods; computational complexity; ferromagnetic materials; magnetic flux; magnetic leakage; magnetostatics; nondestructive testing; parallel algorithms; partial differential equations; random processes; 3-D problems; Monte Carlo methods; computational burden; differential equation; ferromagnetic materials; independent random processe; magnetostatic NDE phenomena; magnetostatic flux leakage; nondestructive evaluation; parallel implementation; partial differential equations; Difference equations; Differential equations; Finite difference methods; Finite element methods; Integral equations; Iterative methods; Magnetic flux leakage; Magnetic materials; Magnetostatics; Partial differential equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497515

Filename

497515