A stochastic collocation method combined with a reduced basis method to compute uncertainties in numerical dosimetry

Amine Drissaoui (1) , François Musy (2, 3) , Laurent Nicolas (1) , Ronan Perrussel (1) , Damien Voyer (1)

1 AMPERE - Ampère
2 ICJ - Institut Camille Jordan
3 ECL - École Centrale de Lyon

In this paper, a reduced basis method is introduced to deal with a stochastic problem in a numerical dosimetry application in which the field solutions are computed using an iterative solver. More precisely, the computations already performed are used to build an initial guess for the iterative solver. It is shown that this approach reduces significantly the computational cost with the same accuracy.

Domaines: Electromagnétisme; Modélisation et simulation

Amine Drissaoui, François Musy, Laurent Nicolas, Ronan Perrussel, Damien Voyer. A stochastic collocation method combined with a reduced basis method to compute uncertainties in numerical dosimetry. Compumag 2011, Jul 2011, Sydney, Australia. pp.n°593. ⟨hal-00649773⟩