Title :
Solution of Large Stochastic Finite Element Problems—Application to ECT-NDT
Author :
Beddek, K. ; Clenet, S. ; Moreau, Olivier ; Le Menach, Yvonnick
Author_Institution :
L2EP, Univ. Lille 1, Villeneuve-d´Ascq, France
Abstract :
This paper describes an efficient bloc iterative solver for the spectral stochastic finite element method (SSFEM). The SSFEM was widely used to quantify the effect of input data uncertainties on the outputs of finite element models. The bloc iterative solver allows reducing computational cost of the SSFEM. The method is applied on an industrial nondestructive testing (NDT) problem. The numerical performances of the method are compared with those of the nonintrusive spectral projection (NISP).
Keywords :
chaos; finite element analysis; iterative methods; nondestructive testing; stochastic processes; ECT-NDT; NISP; SSFEM; bloc iterative solver; computational cost reduction; finite element models; industrial nondestructive testing; input data uncertainties; nonintrusive spectral projection; spectral stochastic finite element method; stochastic finite element problems; Finite Element Method; iterative solver; quasistatic fields; stochastic model; uncertainty quantification;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2013.2240665