S. Mandayam et al., MONTE-CARLO METHODS FOR MODELING MAGNETOSTATIC NDE PHENOMENA - A FEASIBILITY STUDY, IEEE transactions on magnetics, 32(3), 1996, pp. 1425-1428
Magnetostatic methods that are used for the nondestructive evaluation
of ferromagnetic materials can be modeled by partial differential equa
tions. Conventional numerical methods such as finite difference, finit
e elements or boundary integral methods for large problems typically r
equire an iterative matrix inversion scheme to solve the system of equ
ations. Parallel implementation of such schemes is extremely difficult
due to the data dependencies inn the matrices. Monte Carlo methods of
fer an alternative approach by reducing the differential equation to s
imple, independent, random processes that are inherently amenable to p
arallel implementation. This paper investigates the use of Monte Carlo
methods for modeling magnetostatic flux leakage NDE phenomena. The mo
del is validated by comparing the results with those obtained with fin
ite element models. The approach offers significant reduction in compu
tational burden especially for 3-D problems.