DocumentCode
1502086
Title
Transformation Methods for Static Field Problems With Random Domains
Author
Mac, D.H. ; Clénet, S. ; Mipo, J.C.
Author_Institution
L2EP, Arts et Metiers Paris Tech, Lille, France
Volume
47
Issue
5
fYear
2011
fDate
5/1/2011 12:00:00 AM
Firstpage
1446
Lastpage
1449
Abstract
The numerical solution of partial differential equations onto random domains can be done by using a mapping transforming this random domain into a deterministic domain. The issue is then to determine this one to one random mapping. In this paper, we present two methods-one based on the resolution of the Laplace equations, one based on a geometric transformation-to determine the random mapping. A stochastic magnetostatic example is treated to compare these methods.
Keywords
Laplace equations; computational electromagnetics; magnetostatics; partial differential equations; Laplace equations; deterministic domain; geometric transformation; partial differential equations; random domains; random mapping; static field problems; stochastic magnetostatics; transformation methods; Geometry; Magnetic domains; Magnetostatics; Permeability; Random variables; 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.2010.2096460
Filename
5754741
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