Title :
3-D Stochastic Spectral Finite-Element Method in Static Electromagnetism Using Vector Potential Formulation
Author :
Beddek, Karim ; Le Menach, Yvonnick ; Clenet, Stephane ; Moreau, Olivier
Author_Institution :
L2EP, USTL, Villeneuve-d´´Ascq, France
fDate :
5/1/2011 12:00:00 AM
Abstract :
Stochastic spectral finite-element method can be used to take into account some random aspects in the input data (material characteristic, source terms) involved in static electromagnetism problems. Similarly to the deterministic case, two potential formulations can be used in the stochastic case. The vector potential formulation applied to static problems is developed and compared to the scalar potential one, previously developed.
Keywords :
electromagnetism; finite element analysis; magnetostatics; vectors; 3D stochastic spectral finite-element method; scalar potential; static electromagnetism; vector potential formulation; Chaos; Electric potential; Polynomials; Random variables; Stochastic processes; Symmetric matrices; Vectors; Finite element; random variables; static fields; stochastic PDE;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2076274
