3-D Spectral Stochastic Finite Element Method in Electromagnetism

Author

Gaignaire, R. ; Clénet, S. ; Sudret, B. ; Moreau, O.

Author_Institution

Lab. de Modelisation du Materiel Electrique, Ecole Nationale des Arts et Metiers, Lille

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1209

Lastpage

1212

Abstract

Spectral stochastic finite element method (SSFEM), used in mechanics to take into account random aspects of input data, has been implemented, as an extended version, in the 3-D finite element method (FEM) software CARMEL dedicated to electromagnetic field computation. As a test case, this approach has been applied to a 3-D electrostatic problem and successfully validated by comparing with the Monte Carlo simulation method involving usual "deterministic" CARMEL resolutions

Keywords

Monte Carlo methods; electrical engineering computing; electromagnetism; finite element analysis; stochastic processes; 3D electrostatic problems; 3D spectral stochastic finite element method; FEM software; Monte Carlo simulation; deterministic CARMEL resolutions; electromagnetism field computation; Art; Electromagnetic fields; Electromagnetic modeling; Electrostatics; Finite element methods; Permittivity; Research and development; Stochastic processes; Testing; Uncertainty; Random problem; spectral stochastic finite element method (SSFEM);

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.892300

Filename

4137723