Observed Performance of Local Error Estimators for Dielectric Targets
Andrew F. Peterson · 2024
Recent publications have documented the performance of a number of local error estimators for perfectly conducting (PEC) targets treated with the electric field integral equation (EFIE) and the Rao- Wilton-Glisson (RWG) basis functions (Kim and Peterson, “Evaluation of local error estimators for the RWG based EFIE,” IEEE Trans. Antennas Propagat., vol. 66, pp. 819–826, 2018; Steines, Baxley, and Peterson, “Performance of inexpensive local error estimation techniques for integral equation numerical solutions,” IEEE J. Multiscale and Multiphysics Comp. Tech., vol. 8, pp. 158–164, 2023). These estimators are an essential part of an adaptive refinement algorithm for optimizing the performance of numerical solution schemes. Adaptive refinement involves adjusting the cell sizes or representation order in sub-regions of the target where the current density exhibits excessive error, to achieve necessary accuracy in a more efficient way than by uniform mesh refinement.