Title :
Range analysis in electroquasistatic field linear problems
Author_Institution :
Dept. of Inf. Eng., Second Univ. of Naples, Aversa, Italy
Abstract :
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.
Keywords :
Monte Carlo methods; Poisson equation; electric fields; finite element analysis; stochastic processes; FEM formulation; Monte Carlo techniques; Poisson´s equation; True Worst Case solution; affine arithmetic; benchmark 2-D linear problem; deterministic technique; electroquasistatic field linear problems; interval analysis; range analysis; stochastic technique; Arithmetic; Helium; Information analysis; Monte Carlo methods; Performance analysis; Performance evaluation; Poisson equations; Stochastic processes; Uncertain systems; Uncertainty;
Journal_Title :
Dielectrics and Electrical Insulation, IEEE Transactions on
DOI :
10.1109/TDEI.2003.1176582
