Geodesic
Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 154-167 
I. S. Kostarev; T. R. Gazizov; Yu. M. Kazantsev. Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 154-167. http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a9/
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     title = {Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a9/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper considers computation of the matrix entries for linear algebraic systems of equations occurring in the Rao–Wilton–Glisson solution by the method of moments for problems of electromagnetic scattering by surfaces of arbitrary shape. Using the Taylor series expansion and its truncation to four terms, all double integrals needed in computing the matrix entries are taken, and closed-form analytic expressions are obtained. It is demonstrated that these expressions provide for a faster and more accurate solution than numerical integration.

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