Adjoint Methods for Uncertainty Quantification in Applied Computational Electromagnetics: FEM Scattering Examples

Authors

  • Cameron L. Key Electrical & Computer Engineering Department, Colorado State University, Fort Collins, CO
  • Aaron P. Smull Electrical & Computer Engineering Department, Colorado State University, Fort Collins, CO
  • Donald J. Estep Department of Statistics, Colorado State University, Fort Collins, CO
  • Troy D. Butler Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO
  • Branislav M. Notaroš Electrical & Computer Engineering Department, Colorado State University, Fort Collins, CO

Keywords:

Adjoint methods, computational electromagnetics, finite element method, scattering, radar, sensitivity analysis, uncertainty quantification

Abstract

We present methods for quantifying uncertainty and discretization error of numerical electromagnetics solvers based on adjoint operators and duality. We briefly introduce the concept of the adjoint operator and describe applications of adjoint solutions for predicting and analyzing numerical error and approximating sensitivity of a given quantity of interest to a given parameter. Forward solutions are based on the higher order finite element method (FEM).

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References

M. M. Ilic and B. M. Notaros, “Higher order hierarchical curved hexahedral vector finite elements for electromagnetic modeling,” IEEE Transactions on Microwave Theory and Techniques, 51(3), pp. 1026-1033, 2003.

D. Estep and D. Neckels, “Fast and reliable methods for determining the evolution of uncertain parameters in differential equations,” Journal of Computational Physics, 213(2), pp. 530-556, 2006.

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Published

2019-02-01

How to Cite

[1]
Cameron L. Key, Aaron P. Smull, Donald J. Estep, Troy D. Butler, and Branislav M. Notaroš, “Adjoint Methods for Uncertainty Quantification in Applied Computational Electromagnetics: FEM Scattering Examples”, ACES Journal, vol. 34, no. 02, pp. 213–215, Feb. 2019.

Issue

2019: Vol 34 Iss 2

Section

Articles