A Comparison of Error Estimators for Method of Moments

Authors

  • Charles Braddock School of ECE Georgia Institute of Technology Atlanta, GA
  • Andrew Peterson School of ECE Georgia Institute of Technology Atlanta, GA

Keywords:

A posteriori error estimation, integral equations, method of moments, residuals

Abstract

Local error estimators are investigated for use with numerical solutions of the electric field integral equation. Threedimensional test targets include a sphere, disk, NASA almond, and a Lockheed Martin Expedite aircraft model. Visual plots and correlation coefficients are used to assess the accuracy of the estimators. It is shown that the inexpensive discontinuity estimators are usually as accurate as the residual method.

References

A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics, New York, NY, USA: IEEE Press, 1998.

M. Ainsworth and J. T. Oden, A Posteriori Error Estimation in Finite Element Analysis, Hoboken, NJ, USA: Wiley, 2000.

J. Wang and J. P. Webb, “Hierarchal vector boundary elements and padaption for 3-D electromagnetic scattering,” IEEE Trans. Antennas Propag., vol. 45, no. 12, pp. 1869-1879, Dec. 1997.

S. K. Kim and A. F. Peterson, “Evaluation of local error estimators for the RWG based EFIE,” IEEE Tans. Antennas Propagat., vol. 66, no. 2, pp. 819-826, Feb. 2018.

W. J. Strydom and M. M. Botha, “Charge recovery for the RWG-based method of moments,” IEEE Tans. Antennas Propagat. Letters, vol. 14, pp. 305-308, Oct. 2014.

W. J. Strydom and M. M. Botha, “Current recovery for the RWG-based method of moments,” IET Science, Measurement & Technology, vol. 10, no. 8, pp. 831-838, Nov. 2016.

S. K. Kim, “Error estimation and adaptive refinement technique in the method of moments,” Ph.D. dissertation, Dept. Elect. Comput. Eng., Georgia Inst. Technol., Atlanta, GA, USA, May 2017

Downloads

Published

2020-11-07

Issue

Section

Articles