Transformation Methods for Static Field Problems With Random Domains.

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. [ABSTRACT FROM PUBLISHER]