Differential Equations

, Volume 54, Issue 9, pp 1225–1235 | Cite as

Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism

  • A. B. SamokhinEmail author
  • A. S. Samokhina
  • Yu. V. Shestopalov
Integral Equations


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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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • A. B. Samokhin
    • 1
    Email author
  • A. S. Samokhina
    • 2
  • Yu. V. Shestopalov
    • 3
  1. 1.Moscow Technological University (MIREA)MoscowRussia
  2. 2.Trapeznikov Institute of Control Sciences of the Russian Academy of SciencesMoscowRussia
  3. 3.Faculty of Engineering and Sustainable DevelopmentUniversity of GävleGävleSweden

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