IEEE Antennas and Wireless Propagation Letters · 2019 · 12 citations · 8 references
ComputingComputational EngineeringComputational PhysicsStochastic ModelingUncertainty QuantificationFinite Difference MethodsFinite Difference Time Domain AnalysisGround-penetrating RadarMonte Carlo MethodsPolynomial Chaos ExpansionsUncertainty AnalysisGeneralized Polynomial ChaosIntrusive Polynomial ChaosProbabilistic Uncertainty Analysis
The uncertainty analysis (UA) in simulation results is essential when the acceptability of the results is considered. This letter introduces an improved intrusive generalized polynomial chaos expansion (gPCE) method for UA in ground-penetrating radar modeling. The uncertainty in simulation results induced by the uncertain parameters of two-dimensional dispersive and lossy media is quantified with the auxiliary differential equation finite-difference time-domain method combined with gPCE. The results from the new method are compared against the Monte Carlo method. The new method shows its considerable advantage in the computational expense and speed.
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Fernando L. Teixeira, Weng Cho Chew, M. Straka et al. · IEEE Transactions on Geoscience and Remote Sensing · 1998 · 183 citations