Recovery-based a posteriori error estimation for the charge in the method of moments

Error estimation for the method of moments (MoM) is a challenging task, due to the non-local nature of the integral operators involved. In this paper, various local recovery procedures are applied to the solution charge in a Rao-Wilton-Glisson (RWG) basis function-based MoM solution on a triangle element mesh, to obtain a higher-order charge representation. The MoM with RWG basis functions is routinely used for the numerical solution of electromagnetic surface integral equations. These recovered charge distributions are then used for a posteriori error estimation of the charge solution and their performance is compared. Such estimates could be incorporated into an adaptive solver scheme to optimize solution accuracy relative to computational cost. It is found that an RWG-based charge recovery procedure that was recently proposed by the present authors, yields the best performance.