Results in Adaptive MoM Analysis with Goal-Oriented Error Estimation

Adaptive analysis consists of refining meshes selectively, based on a posteriori error estimation information, such that degrees of freedom are optimally applied. In the method of moments (MoM) context, comparatively little work has been done on a posteriori error estimation and on putting forth adaptive analysis schemes. This paper presents adaptive analysis results for the electric field integral equation (EFIE) MoM with Rao-Wilton-Glisson (RWG) basis functions, with particular focus on showing new comparative results for conventional error estimators and for a goal-oriented error estimator, within the adaptive MoM setting. The conventional estimators are two smoothing type estimators based on identifying solution discontinuities and an explicit residual-based estimator. The goal-oriented estimator incorporates knowledge of the post-processing observable of interest. Results show that goal-oriented a posteriori error estimation is a generally effective approach to driving adaptive mesh refinement for the MoM.