Approximation Methods to Solve Stochastic Problems in Computational Electromagnetics - Archive ouverte HAL
Chapitre D'ouvrage Année : 2016

Approximation Methods to Solve Stochastic Problems in Computational Electromagnetics

Résumé

To account for uncertainties on model parameters, the stochastic approach can be used. The model parameters as well as the outputs are then random fields or variables. Several methods are available in the literature to solve stochastic models like sampling methods, perturbation methods or approximation methods. In this paper, we propose an overview on the solution of stochastic problems in computational electromagnetics using approximation methods. Some applications will be presented in order to illustrate the possibilities offered by the approximation methods but also their current limitations due to the curse of dimensionality. Finally, recent numerical techniques proposed in the literature to face the curse of dimensionality are presented for non-intrusive and intrusive approaches.
Fichier principal
Vignette du fichier
L2EP_SPRINGER_2016_CLENET.pdf (153.87 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03165202 , version 1 (10-03-2021)

Identifiants

Citer

Stephane Clenet. Approximation Methods to Solve Stochastic Problems in Computational Electromagnetics. Mathematics in Industry - Scientific Computing in Electrical Engineering, 23, Springer International Publishing, pp.199-214, 2016, 978-3-319-30399-4. ⟨10.1007/978-3-319-30399-4_20⟩. ⟨hal-03165202⟩
12 Consultations
41 Téléchargements

Altmetric

Partager

More