Calculation of field distribution in electromagnetic problems with random domains

While solving a problem with random domains, discontinuities on the magnetic field distribution in the stochastic dimension appear. Numerical methods are already available to account for random domains. Some of them require the use of additional approximation functions to tackle the problem of discontinuity. In this paper, we focus on a method based the use of a random mapping and we show that in that case the discontinuities are naturally approximated and that no additional approximation function needs to be added.