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


This paper is a direct sequel to a previews work which was discussed here. The difference is that it introduces a new type of LCN to MoM conversion that deals with the vector potential and scalar potential of the EFIE differently. It a way, it is a mixed-potential LCN that enforces current continuity. As always in PaperQA.com just post any questions you may have at the end of the post. I will try to respond ASAP.

Here is the paper’s link in IEEE website:


But if you do not have access to ieeexplore you can download this version which is the author’s version and I can post it here.

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To give you a little more detail here, let us review the abstract as well.

The exact relationship between the Rao-Wilton-Glisson (RWG) method of moments (MoM) and the locally corrected Nyström (LCN) method for the mixed-potential (MP) electric field integral equation (EFIE) is presented as an extension to our work where we established analogous exact relationship for solving the EFIE in its vector-potential (VP) form. It is shown that in order to achieve one such relationship for the MP EFIE, the first- and zeroth-order LCN methods must be, respectively, used for the discretization of the VP and scalar-potential terms of the MP EFIE. The resulting numerical scheme is a point-based RWG MoM discretization of the MP EFIE via the Nyström method. Due to 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 form. The increased accuracy is attributed to the analytical cancellation of the line charge contributions in the MP formulation as opposed to numerical cancellation inherent in the VP formulation of the EFIE. The detailed study and explanations of the above cancellations is presented along with their impact on the accuracy of the respective schemes for both canonical and realistic scattering targets at different frequencies.
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