학술논문

Adjoint Sensitivity Analysis for Uncertain Material Parameters in Frequency-Domain 3-D FEM
Document Type
Periodical
Source
IEEE Transactions on Antennas and Propagation IEEE Trans. Antennas Propagat. Antennas and Propagation, IEEE Transactions on. 69(10):6669-6679 Oct, 2021
Subject
Fields, Waves and Electromagnetics
Aerospace
Transportation
Components, Circuits, Devices and Systems
Uncertainty
Finite element analysis
Stochastic processes
Estimation
Permittivity
Uncertain systems
Scattering
Adjoint methods
computational electromagnetics (CEM)
finite element method (FEM)
higher order parameter sampling (HOPS)
sensitivity analysis
uncertain parameters
uncertainty quantification
Language
ISSN
0018-926X
1558-2221
Abstract
We present an application of adjoint analysis for efficient sensitivity analysis and estimation of quantities of interest in the presence of uncertain model parameters in 3-D finite element method (FEM) scattering problems. We demonstrate that the adjoint solution may be leveraged to expedite quantification of uncertainty in the scattering model with extremely high accuracy and vast efficiency improvements in comparison to classic gradient approximation techniques and Monte Carlo (MC) methods. The proposed method is demonstrated for low- and high-dimensional parameter spaces for scattered electric field quantities of interest (QoIs). The results indicate strong agreement with equivalent Monte Carlo simulations for QoI responses and probability densities.