Calculation of field distribution in electromagnetic problems with random domains

• Published in: IET 8th International Conference on Computation in Electromagnetics (CEM 2011) pp. 12 - 13
• Main Authors: Mac, D.H, Clenet, S, Mipo, J.C
• Format: Conference Proceeding
• Language: English
• Published: Stevenage IET 2011
• Subjects: Interpolation and function approximation (numerical analysis); Magnetostatics; Other topics in statistics; random mapping; approximation theory; approximation function; naturally approximated discontinuity; magnetic fields; random domain; electromagnetic fields; function approximation; magnetic field distribution calculation; stochastic dimension; electromagnetic problem; stochastic processes
• ISBN: 9781849194686; 1849194688
• DOI: 10.1049/cp.2011.0014

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.