Solution of Static Field Problems With Random Domains

Author

Mac, D. Hung ; Clénet, Stephane ; Mipo, Jean-Claude ; Moreau, Olivier

Author_Institution

L2EP, Art et Metiers ParisTech, Lille, France

Volume

46

Issue

8

fYear

2010

Firstpage

3385

Lastpage

3388

Abstract

A method to solve stochastic partial differential equations on random domains consists in using a one-to-one random mapping function which transforms the random domain into a deterministic domain. With this method, the randomness is then borne by the constitutive relationship of the material. In this paper, this method is applied in electrokinetics in the case of scalar potential and vector potential formulations. An example is treated and the proposed method is compared to a nonintrusive method (NIM) based on the remeshing of the random domains.

Keywords

electrokinetic effects; mesh generation; partial differential equations; stochastic processes; deterministic domain; electrokinetics; nonintrusive method; random domain remeshing; random domains; random mapping function; scalar potential formulations; static field problems; stochastic partial differential equations; vector potential formulations; Art; Electrokinetics; Finite element methods; Helium; Maxwell equations; Partial differential equations; Research and development; Stochastic processes; Transforms; Uncertainty; Electromagnetic analysis; random domains; random mapping; stochastic finite element method;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2045358

Filename

5513004