Exact Relationship Between the Locally Corrected Nyström Scheme and RWG Moment Method for the Mixed-Potential Integral Equation


The precise relationship between the Rao–Wilton–Glisson (RWG) technique of moments (MoM) and also the domestically corrected Nyström (LCN) technique for the mixed-potential (MP) electrical field integral equation (EFIE) is presented as an extension to our work where we tend to established analogous actual relationship for solving the EFIE in its vector-potential (VP) kind. It's shown that in order to attain one such relationship for the MP EFIE, the primary- and zeroth-order LCN strategies must be, respectively, used for the discretization of the VP and scalar-potential terms of the MP EFIE. The ensuing numerical scheme could be a purpose-primarily based RWG MoM discretization of the MP EFIE via the Nyström method. Because of the MP formulation of the EFIE, the proposed method establishes notably higher accuracy compared to either RWG MoM or LCN discretizations of the EFIE in the VP type. The increased accuracy is attributed to the analytical cancellation of the line charge contributions within the MP formulation vs numerical cancellation inherent within the VP formulation of the EFIE. The detailed study and explanations of the on top of cancellations is presented together with their impact on the accuracy of the respective schemes for each canonical and realistic scattering targets at totally different frequencies.

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