TY  - JOUR
AB  - Purpose– The aim is to apply probabilistic approaches to electromagnetic numerical dosimetry problems in order to take into account the variability of the input parameters.Design/methodology/approach– A classic finite element method is coupled with probabilistic methods. These probabilistic methods are based on the expansion of the random parameters in two different ways: a spectral expansion and a nodal expansion.Findings– The computation of the mean and the variance on a simple scattering problem shows that only a few hundreds calculations are required when applying these methods while the Monte Carlo method uses several thousands of samples in order to obtain a comparable accuracy.Originality/value– The number of calculations is reduced using several techniques: a regression technique, sparse grids computed from Smolyak algorithm or a suited coordinate system.
VL  - 27
IS  - 3
SN  - 0332-1649
DO  - 10.1108/03321640810861098
UR  - https://doi.org/10.1108/03321640810861098
AU  - Voyer D.
AU  - Musy F.
AU  - Nicolas L.
AU  - Perrussel R.
PY  - 2008
Y1  - 2008/01/01
TI  - Probabilistic methods applied to 2D electromagnetic numerical dosimetry
T2  - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
PB  - Emerald Group Publishing Limited
SP  - 651
EP  - 667
Y2  - 2024/09/20
ER  -