Transformation Methods for Static Field Problems With Random Domains | Mac, Duy Hung
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Transformation Methods for Static Field Problems With Random Domains

Archive ouverte : Article de revue

Mac, Duy Hung | Clenet, Stéphane | Mipo, Jean-Claude

Edité par HAL CCSD ; Institute of Electrical and Electronics Engineers

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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