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Transformation Methods for Static Field Problems With Random Domains

Article dans une revue avec comité de lecture
Author
MAC, Duy Hung
ccCLENET, Stephane
13338 Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
MIPO, Jean-Claude

URI
http://hdl.handle.net/10985/7274
DOI
10.1109/TMAG.2010.2096460
Date
2011
Journal
IEEE Transactions on Magnetics

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.

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