Abstract
Theorems providing the convergence of approximate solutions of linear operator equations to the solution of the original equation are proved. The obtained theorems are used to rigorously mathematically justify the possibility of numerical solution of the 3D singular integral equations of electromagnetism by the Galerkin method and the collocation method.
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Original Russian Text © A.B. Samokhin, A.S. Samokhina, Yu.V. Shestopalov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 9, pp. 1251–1261.
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Samokhin, A.B., Samokhina, A.S. & Shestopalov, Y.V. Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism. Diff Equat 54, 1225–1235 (2018). https://doi.org/10.1134/S0012266118090100
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DOI: https://doi.org/10.1134/S0012266118090100