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Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism

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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… Click to show full 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.

Keywords: electromagnetism; discretization methods; methods three; equations electromagnetism; integral equations; singular integral

Journal Title: Differential Equations
Year Published: 2018

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