Liu, M.Hesthaven, J. S.Liu, S.2013-11-122013-11-122013-11-12200910.1109/MAPE.2009.5355570https://infoscience.epfl.ch/handle/20.500.14299/96942In this paper, we propose an efficient method to estimate the radar cross section (RCS) mean and variance of a 2-D cylinder with random holes. This model has been applied extensively in microwave engineering, e.g., frequency selective surface (FSS). Firstly, we develop a deterministic RCS solver based on nodal Discontinuous Galerkin Finite Element Method (DG-FEM). Then we quantify the RCS mean and variance of a 2-D cylinder with random holes based on the stochastic collocation method. We use the Gauss-Patterson quadrature formula to solve the resulting stochastic equation. Numerical results show how the RCS in scattering is affected by the uncertainty in shape of the object. ©2009 IEEE.Discontinuous Galerkin finite-element methodEfficient methodFrequency-selective surfacesMicrowave engineeringNumerical resultsQuadrature formulaRandom holesRandom inputStochastic collocation methodStochastic equationsComputational fluid dynamicsCylinders (shapes)Electromagnetic compatibilityGalerkin methodsMicrowave antennasMicrowavesPlastic moldsRadar cross sectionStochastic systemsTwo dimensionalFinite element methodtext::conference output::conference proceedings::conference paper