Ideas on recovery-based a posteriori error estimation for RWG-based currents in the Method of Moments

Smoothing of derivative values which correspond, for example, to the gradient of a finite element method (FEM) solution of a scalar field, is a well-known approach for obtaining an estimate of a higher-order derivative. The difference may be used to estimate the error in the derivative or recovery may simply be used as a post-processing tool. Recovery is not a well-explored topic for electromagnetic field integral equation solutions by the Method of Moments (MoM). Recently, a charge recovery procedure for the RWG-based MoM has been introduced. This paper explores the possibility of recovery for the current itself. Recovered current distributions and a posteriori estimated errors based on the recovered values are presented.