Range analysis in electroquasistatic field linear problems

It is shown that the joint use of Monte Carlo techniques and interval analysis with affine arithmetic can be profitably exploited to carry out range analysis in electro-quasistatic field linear problems. Stochastic and deterministic techniques can support each other in order to overcome the main limits of each method of analysis thus providing reliable inner and outer bounds for the True Worst Case solution. A benchmark 2-D linear problem has been used to show the main features of the proposed approach which can be applied to study all those physical phenomena ruled by Poisson's equation and characterized by some (eventually all) parameters ranging in specific intervals.