Title :
Uncertainty Analyses in the Finite-Difference Time-Domain Method
Author :
Edwards, Robert S. ; Marvin, Andrew C. ; Porter, Stuart J.
Author_Institution :
Dept. of Electron., Univ. of York, York, UK
Abstract :
Providing estimates of the uncertainty in results obtained by Computational Electromagnetic (CEM) simulations is essential when determining the acceptability of the results. The Monte Carlo method (MCM) has been previously used to quantify the uncertainty in CEM simulations. Other computationally efficient methods have been investigated more recently, such as the polynomial chaos method (PCM) and the method of moments (MoM). This paper introduces a novel implementation of the PCM and the MoM into the finite-difference time -domain method. The PCM and the MoM are found to be computationally more efficient than the MCM, but can provide poorer estimates of the uncertainty in resonant electromagnetic compatibility data.
Keywords :
Monte Carlo methods; computational electromagnetics; finite difference time-domain analysis; method of moments; Computational Electromagnetic simulations; Finite-Difference Time-Domain Method; Monte Carlo method; PCM; Uncertainty Analyses; computationally efficient methods; method of moments; polynomial chaos method; Chaos; Computational electromagnetics; Computational modeling; Finite difference methods; Moment methods; Phase change materials; Polynomials; Resonance; Time domain analysis; Uncertainty; Computational electromagnetism; Monte Carlo; finite-difference time domain (FDTD); method of moments (MoM); polynomial chaos; uncertainty analysis;
Journal_Title :
Electromagnetic Compatibility, IEEE Transactions on
DOI :
10.1109/TEMC.2009.2034645