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Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism
Authors:A B Samokhin  A S Samokhina  Yu V Shestopalov
Institution:1.Moscow Technological University (MIREA),Moscow,Russia;2.Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences,Moscow,Russia;3.Faculty of Engineering and Sustainable Development,University of G?vle,G?vle,Sweden
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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